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In a previous year, 62% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 and older and finds that 428 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 (Round to one decimal place as needed.) C 5% of the population size, and the sample a random sample, all of the requirements for testing the hypothesis satisfied.

In a previous year, 62% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 and older and finds that 428 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 (Round to one decimal place as needed.) C 5% of the population size, and the sample a random sample, all of the requirements for testing the hypothesis satisfied.

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, 62% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 and older and finds that 428 are living alone. Is there sufficient evidence at the α = 0.1 level of significance to conclude the proportion has changed? Because npo (1-Po) 10, the sample size is (Round to one decimal place as needed.) = 5% of the population size, and the sample a random sample, all of the requirements for testing the hypothesis satisfied.
Transcribed Image Text:In a previous year, 62% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 and older and finds that 428 are living alone. Is there sufficient evidence at the α = 0.1 level of significance to conclude the proportion has changed? Because npo (1-Po) 10, the sample size is (Round to one decimal place as needed.) = 5% of the population size, and the sample a random sample, all of the requirements for testing the hypothesis satisfied.
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In a previous year, 62% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 and older and finds that 428 are living alone. Is there sufficient evidence at the x = 0.1 level of significance to conclude the proportion has changed? Because npo (1-Po) = 164.9 > 10, the sample size is (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. но: р 0.62 versus H₁: р # 0.62 (Type integers or decimals. Do not round.) Find the test statistic for this hypothesis test. = = -0.47 Zo = (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. P-value = 0.639 (Round to three decimal places as needed.) State the conclusion for this hypothesis test. Since the P-value is than α, (Type an integer or a decimal. Do not round.) less than 5% of the population size, and the sample is a random sample, all of the requirements for testing the hypothesis are satisfied. Ho. There sufficient evidence at the α = level of significance to conclude that the proportion of females aged 15 and older who are living alone has changed.
Transcribed Image Text:In a previous year, 62% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 and older and finds that 428 are living alone. Is there sufficient evidence at the x = 0.1 level of significance to conclude the proportion has changed? Because npo (1-Po) = 164.9 > 10, the sample size is (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. но: р 0.62 versus H₁: р # 0.62 (Type integers or decimals. Do not round.) Find the test statistic for this hypothesis test. = = -0.47 Zo = (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. P-value = 0.639 (Round to three decimal places as needed.) State the conclusion for this hypothesis test. Since the P-value is than α, (Type an integer or a decimal. Do not round.) less than 5% of the population size, and the sample is a random sample, all of the requirements for testing the hypothesis are satisfied. Ho. There sufficient evidence at the α = level of significance to conclude that the proportion of females aged 15 and older who are living alone has changed.
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Follow-up Question
In a previous year, 62% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 and older and finds that 428 are living alone. Is there sufficient evidence at the ax = 0.1 level of significance to conclude the proportion has changed? Because npo (1-Po) = 164.9 > 10, the sample size is (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. Ho: p = 0.62 versus H₁: р # 0.62 (Type integers or decimals. Do not round.) Find the test statistic for this hypothesis test. Zo (Round to two decimal places as needed.) = less than 5% of the population size, and the sample is a random sample, all of the requirements for testing the hypothesis are satisfied.
Transcribed Image Text:In a previous year, 62% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 and older and finds that 428 are living alone. Is there sufficient evidence at the ax = 0.1 level of significance to conclude the proportion has changed? Because npo (1-Po) = 164.9 > 10, the sample size is (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. Ho: p = 0.62 versus H₁: р # 0.62 (Type integers or decimals. Do not round.) Find the test statistic for this hypothesis test. Zo (Round to two decimal places as needed.) = less than 5% of the population size, and the sample is a random sample, all of the requirements for testing the hypothesis are satisfied.
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Follow-up Question
In a previous year, 62% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 and older and finds that 428 are living alone. Is there sufficient evidence at the α = 0.1 level of significance to conclude the proportion has changed? Because npo (1 - Po) = = 164.9 > 10, the sample size is (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. Ho: versus H₁: (Type integers or decimals. Do not round.) less than 5% of the population size, and the sample is a random sample, all of the requirements for testing the hypothesis are satisfied.
Transcribed Image Text:In a previous year, 62% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 and older and finds that 428 are living alone. Is there sufficient evidence at the α = 0.1 level of significance to conclude the proportion has changed? Because npo (1 - Po) = = 164.9 > 10, the sample size is (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. Ho: versus H₁: (Type integers or decimals. Do not round.) less than 5% of the population size, and the sample is a random sample, all of the requirements for testing the hypothesis are satisfied.
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