Question

In a recent study of a random sample of 113 people, 92 reported dreaming in color. In the 1940’s, the proportion of people who reported dreaming in color was 29%. Is there evidence to show that the proportion of people who dream in color is different than the proportion in the 1940’s? What is the p-value for this hypothesis test? What is the test statistic? What is the critical value? What is the decision? Options: A. 0.0380 B. 4145 C. (0.1634, 0.1971) D. (36.439, 43.261) E. 12.279 F. 2.575 G. Reject Ho because the test statistic is in the rejection region and the p-value is greater than alpha. H. 1.21 X 10-34 I. Fail to reject Ho because the test statistic is not in the rejection region and the p-value is greater than alpha. J. Fail to reject Ho because the test statistic is in the rejection region and the p-value is greater than alpha. K. (35.574, 42.226) L. 0.3432 M. 0.1008 N. 1692 O. Reject Ho because the test statistic is in the critical region and the p-value is less than alpha. P. 1.645 Q. 1.96 R. 2401 S. 1.645

Answer 1

1)p-value for this hypothesis test H. 1.21 X 10-34

2)  test statistic E. 12.279

3) critical value (for 0.05 level : 1.96 ; for 0.10 level 1.645)

4) decision : O :LReject Ho because the test statistic is in the critical region and the p-value is less than alpha.