Construct and interpret a 95 confidence interval for the pop

Construct and interpret a 95% confidence interval for the population proportion who would say that science sometimes conflicts with their own religious beliefs. Based on your confidence interval in f) would you conclude that less than 50% of all adults in the U.S would answer yes? Explain briefly. h) Based on your confidence interval in f) would you conclude that less than a third of all adults in the U.S. would answer yes? Explain briefly. i) How would a 90% confidence interval compare to the one you constructed in c)? You should comment on the centers of the intervals and the widths of the intervals. Note: You do not need to construct a 90% confidence interval to answer this question.

Solution

(g) Yes,because confidence interval does not contain 0.5 so on the basis os confidence interval we cannot conlcude that 0.50 adults would answer yes. That we have to reject the null hypothesis.

(h)

Less than 1/3 means less than 0.33.

Yes,because confidence interval does not contain 0.33 so on the basis os confidence interval we cannot conlcude that 0.33 adults would answer yes. That we have to reject the null hypothesis.

(i)

For this part need part (C)