Question

Question Help Instructor-created question A study was conducted to determine the proportion of people who dream in black and white instead of color Among 304 people over the age of 55, 64 dream in black and white, and among 282 people under the age of 25, 13 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 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: P+P2 OB. Ho: P1 P2 OC. Ho PSP2 H: P1= P2 HP: <P2 Hy PP2 OD. HO P = P2 O E. Ho P22 OF Ho P1= P2 H₂ : Pq #P2 HP P2 H, PP2 Identify the test statistic (Round to two decimal places as needed) Identify the P-value Click to select your answers) and then click Check Answer All parts showing Clear Check AS

Answer 1

PAGE NO.: DATE: Given that XIE 55 X2 = 25 ni = 304 2 02 = 282 Here, sample proportion 018092 P1= xL=.55 ni 304 25 X2 n2 282 11 240 = 0.08865 Here, pooled properton is Pa Pino + P202 nitna il 55+ 25 304 + 282 0.1365 at Here, Hypotheson is F. Ho: PiP2 Hi PZP2. Indentify the test Statione Pi-P2 2 PC1-P) Det ++ ne cs Scanned with CamScanner

2 = 0180- 39 (8-137 *4-0137)* + 304 282 Za 0.091 0.0284 3-2035 Z 220 Identify the p-value: 0.001 poralue = Conclusion! The P-value in less than the significance level 04 X200s so we fait to reject the Ho the hypothesig.. There is Significant euclence to Ocupport the claim that the proportion of the people over 55 cino derem in black and white is greater than pouportion of these under 25. the populo CS Scanned with CamScanner

PAGE NO.: DATE: explanaton: 0 A. Yes. The results can be used to veri rify the given explanation because the difference in proportion i5 practicaly Significant CS Scanned with CamScanner