Suppose we take a random sample of 854 students and find the number, 93, who have taken a statistics course.

Response 1: Use 1PropZTest to test that the proportion of students is more than 0.15. Include the following:

1. The null and alternative hypothesis with correct symbols using the Equation Editor.
2. Use a significance level of 0.01
3. State input values in the TI to find the p-value and make a decision about the null hypothesis. Justify your decision.
4. conclusion about the alternative hypothesis.

Response 2: Use the value of x in the original post as the mean final exam score of a statistics course of size n. Using a standard deviation of 4.1, test the hypothesis that the mean is different than 42. Include the following:

1. The null and alternative hypothesis with correct symbols using the Equation Editor.
2. Use a significance level of 0.05
3. State input values in the TI to find the p-value and make a decision about the null hypothesis. Justify your decision.
4. conclusion about the alternative hypothesis.