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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 400 females aged 15 and older and finds that 240 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) V10, the sample size is V 5% of the population size, and the sample the requirements for testing the hypothesis V satisfied. (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. versus H1: Ho: (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. A. 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. B. 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 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.

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 400 females aged 15 and older and finds that 240 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) V10, the sample size is V 5% of the population size, and the sample the requirements for testing the hypothesis V satisfied. (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. versus H1: Ho: (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. A. 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. B. 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 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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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 400 females aged 15 and older and finds that 240 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) 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. Họ: (Type integers or decimals. Do not round.) versus H1: 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. 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. B. 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. 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.
Transcribed Image Text: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 400 females aged 15 and older and finds that 240 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) 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. Họ: (Type integers or decimals. Do not round.) versus H1: 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. 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. B. 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. 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.
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