(Solved): Section 5.1 Activity: Hypothesis Tests using Normal Distributions Is Divorce Morally Acceptable? In ...

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

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

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

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?