9. Which of the following questions does a test of significance answer? (a) Is the sample or experiment properly designed ? (b) Is the observed effect due to chance ? (c) Is the observed effect important ? 10. Over several years and many thousands of students , 85 % of the high school students in a large city have passed the competency test that is one of the requirements for a diploma . Now reformers claim that a new mathematics curriculum will increase the percentage who pass . A random sample of 1000 students follow the new curriculum . The school board wants to see an improvement that is statistically significant at the 5% level before it will adopt the new program for all students . If p is the proportion of all students who would pass the exam if they followed the new curriculum , we must test Ho: p = 0.85 Ha: P > 0.85 (a) Suppose that 868 of the 1000 students in the sample pass the test . Show that this is not significant at the 5% level. (Use your calculator, STAT>Calc>1-PropZint function to calculate the p-value. See your collaborative activity and the video lecture for help .) What are the null and alternative hypotheses H, and H ? What is the value of the sample proportion A? What is the test statistic ? Calculate the P-value for this test . Do we reject the null hypothesis or do we fail to reject the null hypothesis ? Why? Write the conclusion of the hypothesis test in the context of the problem . Use complete sentences