A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 314 people over the age of? 55, 76 dream in black and? white, and among 308 people under the age of? 25, 15 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.

a. see picture

a. Test the claim using a hypothesis test. Use a significance level of a = 0.05. 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 null and alternative hypotheses for the hypothesis test? OA. Ho: P1 # P2 OB. Ho: P, SP2 O C. Ho: P1 2 P2 Hy : P1 # P2 Hy : P1 # P2 Hy : P1 = P2 OF. HO: P1 = P2 O D. Ho: P1 = P2 OE. Ho: P1 = P2 H1 : P 1 > P2 Hy : P1 # P2 Hy : P1