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Practice Quiz Chapter 07
Quiz Content
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What is a hypothesis?
a) A statement about the cause of a variable's attributes
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incorrect
b) An estimate of a variable's frequency
correct
incorrect
c) A guess about a variable's attributes
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incorrect
d) A statement about the variable's level of measurement
correct
incorrect
e) A statement about the expected relationship between two or more variables
correct
incorrect
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A researcher can assess the relationship between two variables as set out in a hypothesis by considering which two things?
a) The standard deviation and the range
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incorrect
b) The mean and standard deviation
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c) A causal relationship and a non-causal relationship
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d) A non-directional and directional hypothesis
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incorrect
e) The magnitude of the relationship and the reliability of the relationship
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incorrect
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If the higher values or attributes of one variable are associated with higher values or attributes of another variable then this is an indication of what kind of relationship?
a) Measure of association
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b) Measure of effect size
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c) Negative relationship
correct
incorrect
d) Positive relationship
correct
incorrect
e) Neutral relationship
correct
incorrect
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Calculate the Cohen's d using the following information: Mean 1 (the average mental health score for Group 1) equals 49.7, indicating that Group 1 had difficulty meeting basic expenses; mean 2 (the average score for Group 2) equals 54.9, indicating that Group 2 did not have difficulty meeting expenses; and the total value of standard deviation is 10.82.
a) -4.4
correct
incorrect
b) -4.8
correct
incorrect
c) 0.0048
correct
incorrect
d) -0.48
correct
incorrect
e) -4.8
correct
incorrect
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What kind of relationship is indicated by the Cohen's d score from the previous question?
a) A moderate relationship
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b) A weak relationship
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c) A strong relationship
correct
incorrect
d) A neutral relationship
correct
incorrect
e) A false relationship
correct
incorrect
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The logic of ______ underlies significance testing.
a) hypothesis testing
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b) the p-value
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c) sampling
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d) falsification
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e) populations
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What is a null hypothesis?
a) A statement indicating that there could be a relationship between variables if one of the variables selected from the population is replaced by another
correct
incorrect
b) A statement indicating that there could be a relationship between variables if another variable is selected from the population
correct
incorrect
c) A statement indicating that there is a possible relationship between two or more variables in the population
correct
incorrect
d) A statement indicating that there is a relationship between two or more variables in the population
correct
incorrect
e) A statement indicating no relationship between two or more variables in the population
correct
incorrect
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Which two types of errors are possible when researchers assess the reliability of a relationship?
a) Type III and Type IV
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b) Type 10 and Type 20
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c) Type A and Type B
correct
incorrect
d) Type Z and Type T
correct
incorrect
e) Type I and Type II
correct
incorrect
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What decision does a researcher make when the p-value is greater than or equal to the alpha value?
a) The researcher decides to reject the null hypothesis
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b) The researcher decides to not reject the null hypothesis
correct
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c) The researcher decides to change the null hypothesis
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d) The researcher decides to reject the null hypothesis if another sample is taken
correct
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e) The researcher decides to accept the research hypothesis
correct
incorrect
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To assess the reliability of sample data to indicate the existence of a relationship between two variables researchers rely on what?
a) A normal distribution of p-values
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incorrect
b) A sampling distribution of the differences between group means
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incorrect
c) A sampling distribution of means
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d) A normal distribution displaying standard deviations
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e) A sampling distribution of critical values and p-values
correct
incorrect
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Which of the following is a general principle of the depiction of differences between group means via the use of a histogram?
a) If the group means are equal in the population then they will not be approximately equal in the samples selected
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b) If the group means are equal in the population then they will always be equal in the samples selected
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c) If group means are equal in the population they will never be equal in the samples selected
correct
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d) If the group means are equal in the population then they will be approximately equal in the samples selected
correct
incorrect
e) If the group means are equal in the population then they offer no useful information to researchers
correct
incorrect
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Calculate the Cohen's d using the following information: Mean 1 (the average mental health score for Group 1) equals 29.7, indicating that Group 1 had difficulty meeting basic expenses; mean 2 (the average mental health score for Group 1) equals 16.9, indicating that Group 2 did not have difficulty meeting expenses; and the total value of standard deviation is 18.82.
a) 2.48
correct
incorrect
b) 1.58
correct
incorrect
c) 12.8
correct
incorrect
d) 0.68
correct
incorrect
e) 0.90
correct
incorrect
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What kind of relationship is indicated by the Cohen's d score from the previous question?
a) A moderate relationship
correct
incorrect
b) A weak relationship
correct
incorrect
c) A strong relationship
correct
incorrect
d) A neutral relationship
correct
incorrect
e) A false relationship
correct
incorrect
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Calculate the Cohen's d using the following information: Mean 1 (the average mental health score for Group 1) equals 79.7, indicating that Group 1 had difficulty meeting basic expenses; mean 2 (the average mental health score for Group 2) equals 87.3, indicating that Group 2 did not have difficulty meeting expenses; and the total value of standard deviation is 9.3.
a) 0.82
correct
incorrect
b) 0.082
correct
incorrect
c) -0.082
correct
incorrect
d) -8.2
correct
incorrect
e) -0.82
correct
incorrect
*
not completed
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What kind of relationship is indicated by the Cohen's d score from the previous question?
a) A moderate relationship
correct
incorrect
b) A weak relationship
correct
incorrect
c) A strong relationship
correct
incorrect
d) A neutral relationship
correct
incorrect
e) A false relationship
correct
incorrect
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What do researchers use to determine if a sizable difference between group means in a sample is indicative of a difference in these group means in the population from which the sample was drawn?
a) The null hypothesis
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b) T-test for significance
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c) The F-test
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d) Z-test for statistical significance
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incorrect
e) The p-test
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incorrect
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If the standard deviation of the sample means is equal to 7.7 and group 1's mean is 38.5 while group two's is 23.1, then what is the calculated t-statistic?
a) 2
correct
incorrect
b) 20
correct
incorrect
c) 0.2
correct
incorrect
d) 0.02
correct
incorrect
e) 2.2
correct
incorrect
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In this question calculate the t-statistic from the following sample data. The first sample has 10 people with a mean of 74.4 and a standard deviation of 15.7. The second sample is comprised of 10 people as well, with a mean of 66.3 and a standard deviation of 18.7. What is the t-statistic?
a) 0.0105
correct
incorrect
b) 0.015
correct
incorrect
c) 1.5
correct
incorrect
d) 1.05
correct
incorrect
e) 0.115
correct
incorrect
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What is the shape of a t-distribution for smaller samples?
a) It is approximately the same shape as the normal distribution
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b) It is skinnier and taller than the normal distribution
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c) It is a bit wider, with slightly fatter tails than the normal distribution
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d) It is skinnier and shorter than the normal distribution
correct
incorrect
e) It is the same shape as the normal distribution but taller
correct
incorrect
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What are degrees of freedom?
a) The necessary preliminary step to calculate before calculating the group means
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b) A way to account for the lack of a standard deviation in the calculations
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c) The necessary distance from the centre of a population to calculate the group means
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d) A way to account for the difference in group means
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e) A way to account for the number of free parameters in an equation
correct
incorrect
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Non-directional hypotheses make a statement about a relationship between variables and specify a direction for the hypothesis.
a) True
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b) False
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incorrect
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In general, researchers prefer to use non-directional hypotheses because they make it possible to detect unexpected results.
a) True
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b) False
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In a causal relationship it is easy to account for unexpected factors that may affect the relationship without experimental data.
a) True
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b) False
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The magnitude of a relationship refers to the size or strength of a relationship.
a) True
correct
incorrect
b) False
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Decisions about which measure of association to use in an analysis depend on the level of measurement for each variable.
a) True
correct
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b) False
correct
incorrect
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The hardest way to assess the magnitude of a relationship between a categorical independent variable with two attributes and a ratio-level dependent variable is to compare the two group means.
a) True
correct
incorrect
b) False
correct
incorrect
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A Cohen's d of 1 indicates the difference between the group means is the same size as the standard deviation of the variable.
a) True
correct
incorrect
b) False
correct
incorrect
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Cohen's d does not provide researchers with a way of quantifying effect size by comparing it to established benchmarks.
a) True
correct
incorrect
b) False
correct
incorrect
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Reliability refers to how confident a researcher is that a relationship found in a sample exists in the larger population.
a) True
correct
incorrect
b) False
correct
incorrect
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Statistical significance tests use the normal distribution to calculate the probability of selecting a sample randomly with a relationship between two variables that does not exist in the population from which the sample was drawn.
a) True
correct
incorrect
b) False
correct
incorrect
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The choice of which test of significance to use when testing for a relationship between variables does not rely on knowing the variable's level of measurement.
a) True
correct
incorrect
b) False
correct
incorrect
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The null hypothesis is the opposite of the research hypothesis.
a) True
correct
incorrect
b) False
correct
incorrect
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A type I error is also known as a "false positive."
a) True
correct
incorrect
b) False
correct
incorrect
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A type II error is also known as a "false positive."
a) True
correct
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b) False
correct
incorrect
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Social science researchers typically try to obtain a p-value of less than 0.05 before they assert that a relationship is likely to exist in the population.
a) True
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b) False
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incorrect
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A researcher who obtains a test statistic that is larger than the critical value for the probability distribution can assert that there is less than a 5 per cent chance of selecting a sample with the observed relationship, if no relationship exists in the population.
a) True
correct
incorrect
b) False
correct
incorrect
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By chance, a researcher might randomly select a sample that shows a relationship between two variables even if this relationship doesn't exist between the two variables in the wider population.
a) True
correct
incorrect
b) False
correct
incorrect
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Another way to state the null hypothesis is to say that the group means are not equal in the population.
a) True
correct
incorrect
b) False
correct
incorrect
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Like other sampling distributions, the sampling distribution of mean differences is not centered on the population parameter.
a) True
correct
incorrect
b) False
correct
incorrect
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If the group means are equal in the population, then a researcher has a lower chance of selecting a sample with unequal group means.
a) True
correct
incorrect
b) False
correct
incorrect
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