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4. In a previous year, 54% of females aged 15 years of age and older lived alone. A sociologist tests whether this percentage is
4. In a previous year, 54% of females aged 15 years of age and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 years of age and older and finds that 357 are living alone. Is there sufficient evidence at the a=0.01 level of significance to conclude the proportion has changed? Identify the null and alternative hypotheses for this test. A. Ho: p 0.54 H: p=0.54 Find the test statistic for this hypothesis test. z= (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. B. Ho: p=0.54 H: p>0.54 E. Ho: p=0.54 H: p 0.54 A. Reject Ho. There is not sufficient evidence at the a = 0.01 level of significance to conclude that the proportion of females who are living alone has changed. B. Do not reject Ho. There is sufficient evidence at the = 0.01 level of significance to conclude that the proportion of females who are living alone has changed. OC. Reject Ho. There is sufficient evidence at the ax = 0.01 level of significance to conclude that the proportion of females who are living alone has changed. D. Do not reject Ho. There is not sufficient evidence at the a = 0.01 level of significance to conclude that the proportion of females who are living alone has changed. C. Ho: p# 0.54 H: p=0.54 F. Ho: p = 0.54 H p
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