A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 302 people over the age of55, 69 dream in black andwhite, and among 313 people under the age of25, 14 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts(a) through(c) below.

Identify the test statistic.

Identify the P-value.

What is the conclusion based on the hypothesistest? TheP-value is (less than?,greater than? the significance level of =0.05, so

(fail to reject?,reject? the null hypothesis. There is ( insufficient?,sufficient) evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25.

The 90% confidence interval is

nothing

nothing

.

(Round to three decimal places asneeded.)

What is the conclusion based on the confidenceinterval? Because the confidence interval limits (do not include?,include?) 0, it appears that the two proportions are (not equal?, equal) Because the confidence interval limits include (Positive and negative?, only negative?,only positive?)

values, it appears that the proportion of people over 55 who dream in black and white is (lesser than?,not significantly different from? greater than?)

the proportion for those under 25.

An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify thatexplanation?

A.

No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black andwhite, but the results are not statistically significant enough to verify the cause of such a difference.

B.

Yes. The results can be used to verify the given explanation because the difference in proportions is statistically significant.

C.

No. The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black andwhite, but the results cannot be used to verify the cause of such a difference.

D.

Yes. The results can be used to verify the given explanation because the difference in proportions is practically significant.