Question

In a previous year, 63% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 600 females aged 15 and older and finds that 387 are living alone. Is there sufficient evidence at the a = 0.05 level of significance to conclude the proportion has changed? Because npo (1-Po - U V 10, the sample size is V 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. Ho va versus H, V VO (Type integers or decimals. Do not round.) Find the test statistic for this hypothesis test. zo = (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. P-value = (Round to three decimal places as needed.) State the conclusion for this hypothesis test. O A. Do not reject Ho. There is sufficient evidence at the a= 0.05 level of significance to conclude that the proportion of females who are living alone has changed. O B. Do not reject Ho. There is not sufficient evidence at the a = 0.05 level of significance to conclude that the proportion of females who are living alone has changed. O C. Reject Ho. There is sufficient evidence at the a= 0.05 level of significance to conclude that the proportion of females who are living alone has changed. O D. Reject Ho. There is not sufficient evidence at the a= 0.05 level of significance to conclude that the proportion of falabaaralan.banabased

Answer 1

p=0.63 Claim p2063 na buo a=387 - 8 = x = 367 zobus no (1-P) = 139.86) >,10 sample size is less than 5% of population stre and Sample is selected at random requirements for hypothesis care satisfied Flo: P = 0.63 Hii p 80.63 - one proportion Z-test Test statistic pop 0645-0.63 Za 31-003) V 800 = 0.761 2= 0.78 P-value =qp(272) 2P(Z >0.76) =202236) fo.1472) (pvalue é 0.447) Do not repect Ho. There is not sufficient evidence at x=0.05 lever a significance to conclude propostin 15