7. A random sample of 400 men and 400 women was randomly selected and asked whether they planned to attend a concert in the next month. The results are listed below. Perform a homogeneity of proportions test to test the claim that the proportion of men who plan to attend a concert in the next month is the same as the proportion of women who plan to attend a concert in the next month. Use a = 0.05. Men Women Plan to attend concert 2300; 01255/ 405 Don't plan to attend concert 1706 045 315 HO: P1= PZ HiiPIX P2 0 400 300 Ho: The proportion of men who plan to Attend a concert in the next month is the same as the proportion of women who plan to Attend a concert in the next month. His The proportion of men who plan to Attend a concert in the next month is not the same as the proportion of women who plan to Attend a concert in the next month. 01 = 230 , 255, 170,145 EL = 243 5, 242. 5, 157.5, 157, 5 EI (485)400 EC - 242. 5 E2 (40805) 400 = 242.5 800 E3 ( 315) 400 = 157: 5 Ey ( 315 ) 400 Ei 800 = 157.5 800 = (230- 242. 5) 2 + (255-247. 5) 2 ( 170 - 157. 5 ) 2 242. 5 + + ( 140 - 157.5)2 242. 5 1 1 1 1 157.5 0.645 .650 11 1. 95 - 4:23 2=0.05 - & = 1 05 =, 025 since it is observed that 121 = 4. 23 726= 1. 96, it is 4, 23 then concluded that the null Hypothesis ( Ho) is rejected. 20.628- - 1.96 D