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Section 5.1 Activity: Hypothesis Tests using Normal Distributions Is Divorce Morally Acceptable? In a study conducted by the Pew Foundation, we learn that

`67%`

of women in a random sample view divorce as morally acceptable. Does this provide evidence that more than

`60%`

of women view divorce as morally acceptable? The standard error for the estimate assuming the null hypothesis is true is 0.021 . (a) What are the null and alternative hypotheses for this test? (b) What is the standardized test statistic? (c) Use the standard normal distribution to find the p-value. (d) What is the conclusion of the test? Do Men and Women Differ in Opinions about Divorce? In the same study described above, we find that

`71%`

of men view divorce as morally acceptable. Use this and the information in the previous example to test whether there is a significant difference between men and women in how they view divorce. The standard error for the difference in proportions under the null hypothesis that the proportions are equal is 0.029 . (a) What are the null and alternative hypotheses for this test? (b) What is the standardized test statistic? (c) Use the standard normal distribution to find the p-value. (d) What is the conclusion of the test?