1.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?

2.A sample of baseball games shows that the mean length of the games is 179.83 minutes. (The data is given in Baseball Times). The standard error is 3.75. Does this sample provide evidence that the mean length of time for baseball games is more than 170 minutes? Use the normal distribution and show all details of the test.