Astudy was conduccled to determine the proportion of people who dream in black and white instead of colot Among 317 people over the age of 55, 65 dream in black and white, and among 287 people under the age of 25, 11 dream in black and white Use a 0.01 signiicance level to lest the clam that the peoportion 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 a. Test the claim using a hypothesis test Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25 What are the nul and alternative hypotheses for the hypothesis test? OA. Ho P, P H, P, P2 OC. H, P P, H, P P OB H D,"P2 H P, P OF. H D-P2 OD. H PP2 H, P, P2 OE H P,aP2 H, PP2 H, P, P2 Identity the test statistic (Round to two decimal places as needed) Identity the P-value. Pvalue = (Round to three decimal places as needed) What is the conclusion based on the hypothesis test? V evidence to support the clam that the proportion of people over 55 who dream in black and white is greater than the proporton for those under 25 the nul hypothesis There is The P-value is V the significance level of a=001, so D. Test the claim by constructing an appropriate confidence interval The 98% confidence interval is (P, D2) O (Round to three decimal places as needed the proportion for those under 25 What is the conclusion based on the confidence interval? values, t acpears that the proportion of pecple over 55 who dream in black and white is Because the contidence interval imits include V 0, t appears that the two proportions are Because the confidence interval imts O A. No The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white but the resuts cannot be used to venty the cause of such a diference OB. No The results speak to a possible difference between the proportions of people over 55 and under 25 who dream in black and white, but the resuts are not statistically significant enough to verty the cause of such a dference C. An explanation for the results is that those over the age of 55 grew up exposed to media that was dsplayed in black and white Can these results be used to venty that explanation? OC Yes The results can be used to venty the given explanation because the difference in proportions is statisticalty signficant O D. Yes The results can be used to venty the given explanation because the difference in proportons is practically sgnicant