In a previous year, 55% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 750 females aged 15 and older and finds that 410 are living alone. Is there sufficient evidence at the a= 0.05 level of significance to conclude the proportion has changed? 10, the sample size is Because npo (1-Po) = (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. versus H₁: (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. than a, Since the P-value is (Type an integer or a decimal. Do not round.) Ho. There 5% of the population size, and the sample ▼ a random sample, all of the requirements for testing the hypothesis satisfied. ▼sufficient evidence at the a= level of significance to conclude that the proportion of females aged 15 and older who are living alone has changed.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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In a previous year, 55% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 750 females aged 15 and older and finds that 410 are living alone. Is
there sufficient evidence at the α = 0.05 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.)
Identify the null and alternative hypotheses for this test.
=
Ho:
versus H₁:
(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.
than α,
Since the P-value is
(Type an integer or a decimal. Do not round.)
Ho. There
5% of the population size, and the sample
sufficient evidence at the α =
a random sample, all of the requirements for testing the hypothesis
satisfied.
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, 55% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 750 females aged 15 and older and finds that 410 are living alone. Is there sufficient evidence at the α = 0.05 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.) Identify the null and alternative hypotheses for this test. = Ho: versus H₁: (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. than α, Since the P-value is (Type an integer or a decimal. Do not round.) Ho. There 5% of the population size, and the sample sufficient evidence at the α = a random sample, all of the requirements for testing the hypothesis satisfied. level of significance to conclude that the proportion of females aged 15 and older who are living alone has changed.
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