Please I need help to answer question b about the confidence interval and what we can conclude from that result. Thanks

Karima Merzak & | 11/25/21 10:28 AM 1=602219515&.questionid=126flushed=falseBild > 6575746¢erwin=yes MATH 251 901 ONL 15A FA21 - Statistics for Science, CCP crn40776 Save HW Score: 40.79%, 64.04 of 157 points Question 12, 9.1.11-T Homework: Ch9 Assignment9 (66quez, 157pts) {su2"20} Points: 2.77 of 6 Part 5 of 7 Astudy was conducted to determine the proportion of people who dream in black and white instead of color. Among 322 people over the age of 55, 64 dream in black and white, and among 282 people under the age of 25, 11 dream in black and white Use a 105 significance level to test the claim that the proportion of people over $5 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below . 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 C HO P1 = P2 A Ho P1 # P2 O B. Ho P1 SP2 Hy P1 P2 Hy P1 = P2 Hy P1 # P2 Ho P1 =P2 D Ho P1 2P2 O.E. Ho P1 = Pz Hy P1 * P2 H 1 P1 + P2 Hy P1 > P2 dentify the test statistic z = 5.94 Round to two decimal places as needed ) dentity the P-value P-value = 0.000 Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is less than the significance level of a =0:05, so reject the null hypothesis. There is sufficient evidence to support the claim that the proportion of people over $5 who dream in black and white is greater than the proportion for those under 25 Test the claim by constructing an appropriate confidence interval The 90% confidence interval is |= (P1 - P2)