In a previous year, 54% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 550 females aged 15 and older and...


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In a previous year, 54% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 550 females aged 15 and older and finds that 289 are living alone. Is there<br>sufficient evidence at the a = 0.1 level of significance to conclude the proportion has changed?<br>.....<br>Because npo (1 - Po)<br>10, the sample size is<br>5% of the population size, and the sample<br>the requirements for testing the hypothesis<br>satisfied.<br>(Round to one decimal place as needed.)<br>Identify the null and alternative hypotheses for this test.<br>Ho:<br>versus H:<br>(Type integers or decimals. Do not round.)<br>Find the test statistic for this hypothesis test.<br>Z0 = (Round to two decimal places as needed.)<br>Determine the P-value for this hypothesis test.<br>P-value = (Round to three decimal places as needed.)<br>State the conclusion for this hypothesis test.<br>O A. Do not reject Ho. There is not sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed.<br>B. Reject Ho: There is sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed.<br>O C. Do not reject Ho. There is sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed.<br>D. Reject Ho. There is not sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed.<br>

Extracted text: In a previous year, 54% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 550 females aged 15 and older and finds that 289 are living alone. Is there sufficient evidence at the a = 0.1 level of significance to conclude the proportion has changed? ..... Because npo (1 - Po) 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 H: (Type integers or decimals. Do not round.) Find the test statistic for this hypothesis test. Z0 = (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 not sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed. B. Reject Ho: There is sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed. O C. Do not reject Ho. There is sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed. D. Reject Ho. There is not sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed.
Jun 11, 2022
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