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Statistics MCQ

Which of the following is one of the assumptions for hypothesis testing of the Pearson’s correlation coefficient?

The X-Y pairs are ordinal scores.

There is random sampling of X-Y pairs.

The dependent variable comes from a population that has a normal distribution.

The independent variable comes from a population that has a normal distribution.

Answer

Correct Answer: There is random sampling of X-Y pairs.

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Which of the following statements about the correlation coefficient is TRUE?

One should not accept that a correlation coefficient represents a relationship unless it is significant.

Unless a correlation coefficient is zero, it represents a relationship.

Positive correlation coefficients tend to be significant more often than negative ones.

Sampling error does not apply to the correlation coefficient.

Answer

Correct Answer: One should not accept that a correlation coefficient represents a relationship unless it is significant.

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The alternative hypothesis in a two-tailed significance test of correlation states that ______.

A correlation exists in the population

No correlation exists in the population

A positive correlation exists in the population

A negative correlation exists in the population

Answer

Correct Answer: A correlation exists in the population

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A correlated-groups t test ______.

Compares sample means for two related groups

Compares sample means for two unrelated groups

Compares standard deviations for two unrelated group

Compares sample means for three or more unrelated groups

Answer

Correct Answer: Compares sample means for two related groups

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This chapter illustrates that you can also incorporate ______ into the correlation coefficient.

Statistical significance

Substantial significance

Descriptive statistics

Generalizability

Answer

Correct Answer: Statistical significance

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If the null hypothesis is not supported, then the t test should be ______.

0.00

±1.00

Greater than ±1.00

A negative number

Answer

Correct Answer: Greater than ±1.00

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If the null hypothesis is TRUE, then the t test should be close to ______.

0.00

±1.65

±1.96

±3.00

Answer

Correct Answer: 0.00

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The null hypothesis in a two-tailed significance test of correlation states that ______.

A correlation exists in the population

No correlation exists in the population

A positive correlation exists in the population

A negative correlation exists in the population

Answer

Correct Answer: No correlation exists in the population

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How many degrees of freedom do we have in significance testing of r?

N - 2, where N equals the total number of Xs plus the total number of Ys

N - 2, where N equals the total number of pairs of scores

N - 1, where N equals the total number of pairs of scores

N - 1, where N equals the total number of Xs plus the total number of Ys

Answer

Correct Answer: N - 2, where N equals the total number of Xs plus the total number of Ys

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Which of the following is an example of a null hypothesis for testing a correlation coefficient?

H1: ρxy = 0

H1: ρxy > 0

H0: ρxy = 0

H0: ρxy > 0

Answer

Correct Answer: H0: ρxy = 0

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What does the shape of any particular sampling distribution of a correlation coefficient depend on?

Answer

Correct Answer: Df

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What is the name of the Greek letter ρ?

Phi

Rho

Chi

Alpha

Answer

Correct Answer: Rho

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If after calculating a correlated-groups t test you find that it is equal to zero, then ______.

The two means differ significantly

The two means do not differ significantly

You have done something wrong

The two population means differ significantly

Answer

Correct Answer: The two means do not differ significantly

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