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In a previous year, 61% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a

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In a previous year, 61% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 500 females aged 15 and older and finds that 314 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 ) =] V 10, the sample size is 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: versus Hy: (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 = 0.05 level of significance to conclude that the proportion of females who are living alone has changed

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