A study was conducted to determine the proportion of people who dream in black and white instead of color. Amor 313 people over the age of 55, 65 dream in black and white, and among 281 people under the age of 25, 16 drear 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. 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 null and alternative hypotheses for the hypothesis test? O A. Ho: P1 = P2 O B. Ho P1 = P2 O C. Ho: P1 2 P2 Hy: P1 # P2 Hy : P1 = P2 Hy : P1 # P2 OD. Ho: P1 SP2 OE. HO: P1 = P2 OF. Ho: P1 # P2 H1: P1 # P2 Hy : P1 > P2 H1 : P1 = P2 Identify the test statistic. z= (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Next Art mara halm . 0000 0000 Scanned with CamScannerWhat is the conclusion based on the hypothesis test? The P-value is the significance level of a = 0.05, so the null hypothesis. There evidence to support the claim that the proportion of people over 55 who dream in black and who greater than the proportion for those under 25 b. Test the claim by constructing an appropriate confidence interval. The 90% confidence interval is