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Exam 9: Hypothesis Testing II: the Two-Sample Case

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Question 1

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Very large random samples of Catholics and Protestants have been questioned about their opinions on cohabitation.Forty-six percent of the Protestant and 47% of the Catholics approve of males and females living together without being married.The difference has been tested and found to be statistically significant.What is the most reasonable conclusion?

A) This is a statistically significant and important difference.
B) This difference may be statistically significant but it seems unimportant.
C) This difference is due to random chance.
D) The researcher should have used sample means rather than proportions in this situation.

E) All of the above
F) C) and D)

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Question 2

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When testing for the significance of the difference between two sample means,we must first estimate ____ before we can compute the test statistic.

A) the standard deviation of the sampling distribution
B) the standard deviations of the samples
C) the population means
D) the critical region

E) All of the above
F) B) and D)

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Question 3

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For testing the difference between two sample means,the level of measurement is assumed to be

When testing for the significance of the difference between two samples,the null hypothesis states that the ____ are the same.

If a difference between random samples is not statistically significant,it is probably ____.On the other hand,a statistically significant difference is not necessarily ____.

To satisfy the requirement of independent random sampling,the researcher

The text reports the results of a test for the significance of the difference in average income for random samples of males and females.Males earned an average of about $17,000 more per year and the Z score computed in step 4 was 10.18.Given these results,which of the following is a reasonable conclusion?

When testing for the significance of the difference between two sample means,the null hypothesis can be stated as

Samples of Republicans and Democrats have been tested for their level of support for welfare reform and the null hypothesis has been rejected.What may we conclude?

Four tests of significance were conducted on the same set of results: For test 1: alpha = 0.05,two-tailed test. For test 2: alpha = 0.10,one-tailed test. For test 3: alpha = 0.01,two-tailed test. For test 4: alpha = 0.01,one-tailed test. Which test is most likely to result in a rejection of the null hypothesis?

A difference between samples that is shown to be statistically significant is always

Rejection of the null hypothesis in the two-sample case implies that the

Which of the following was true for the test for differences in average income by gender reported in the text?

When testing for the significance of the difference between two sample means,the standard deviation of the sampling distribution is estimated using

In testing for the significance of the difference between two sample means when the sample size is small,we may assume equal population variances if

The larger the sample size,the

For tests of significance involving two sample proportions,the value of the population proportion is estimated from

When testing for the significance of the difference between two sample means,which parameters must be estimated with sample values?

When is the t distribution used instead of the Z distribution to test the significance of the difference between two sample proportions?

Comparing gender differences in average education with differences in average income,we found