In a previous year, 57% of females aged 15 and older lived alone. A sociologist tests whether this percentag is different today by conducting a random sample of 450 females aged 15 and older and finds that 246 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) = 110.3 > 10, the sample size is less than 5% of the population size, and the sample is given to be random, the requirements for testing the hypothesis are satisfied. (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. Ho: p = 0.57 versus H,: p * 0.57 (Type integers or decimals. Do not round.) Find the test statistic for this hypothesis test. (Round to two decimal places as needed)

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In aprevious year, 57% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 450 females aged 15 and older and finds that 246 are living alone. Is there sufficient evidence at the a=0.1 level of significance to conclude the proportion has changed?
In a previous year, 57% of females aged 15 and older lived alone. A sociologist tests whether this percentage
is different today by conducting a random sample of 450 females aged 15 and older and finds that 246 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) = 110.3 > 10, the sample size is less than 5% of the population size, and the
sample
is given to be random,
the requirements for testing the hypothesis
are
satisfied.
(Round to one decimal place as needed.)
Identify the null and alternative hypotheses for this test.
Ho: p
= 0.57 versus H,: p
* 0.57
(Type integers or decimals. Do not round.)
Find the test statistic for this hypothesis test.
Zn =| (Round to two decimal places as needed.)
Transcribed Image Text:In a previous year, 57% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 450 females aged 15 and older and finds that 246 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) = 110.3 > 10, the sample size is less than 5% of the population size, and the sample is given to be random, the requirements for testing the hypothesis are satisfied. (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. Ho: p = 0.57 versus H,: p * 0.57 (Type integers or decimals. Do not round.) Find the test statistic for this hypothesis test. Zn =| (Round to two decimal places as needed.)
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Introduction

Given data is appropriate for z-test for single proportion because the sample size is large .(n>30).

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