In a previous year, 56% of females aged 15 years of age and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 years of age and older and finds that 406 are living alone. Is there sufficient evidence at the α = 0.05 level of significance to conclude the proportion has changed? Identify the null and alternative hypotheses for this test. OA. Ho: p=0.56 H₁: p=0.56 ⒸD. Ho: p=0.56 H₁: p=0.56 Find the test statistic for this hypothesis test. z = (Round to two decimal places as needed.) OB. Ho: p=0.56 H₁: p<0.56 O E. Ho: p=0.56 H₁: p>0.56 II OC. Ho: p>0.56 H₁: p=0.56 OF. Ho: p<0.56 H₁: p=0.56

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What is th enull and alt. hypothesis? the test statistic? the P-value? What is the conclusion?

In a previous year, 56% of females aged 15 years of age and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 years
of age and older and finds that 406 are living alone. Is there sufficient evidence at the x = 0.05 level of significance to conclude the proportion has changed?
Identify the null and alternative hypotheses for this test.
O A. Ho: p=0.56
H₁: p=0.56
Ⓒ D. Ho: p *0.56
H₁: p=0.56
Find the test statistic for this hypothesis test.
Z= (Round to two decimal places as needed.)
OB. Ho: p=0.56
H₁: p<0.56
O E. Ho: p=0.56
H₁: p > 0.56
(...)
OC. Ho: p > 0.56
H₁: p=0.56
OF. Ho: p<0.56
H₁: p=0.56
Transcribed Image Text:In a previous year, 56% of females aged 15 years of age and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 years of age and older and finds that 406 are living alone. Is there sufficient evidence at the x = 0.05 level of significance to conclude the proportion has changed? Identify the null and alternative hypotheses for this test. O A. Ho: p=0.56 H₁: p=0.56 Ⓒ D. Ho: p *0.56 H₁: p=0.56 Find the test statistic for this hypothesis test. Z= (Round to two decimal places as needed.) OB. Ho: p=0.56 H₁: p<0.56 O E. Ho: p=0.56 H₁: p > 0.56 (...) OC. Ho: p > 0.56 H₁: p=0.56 OF. Ho: p<0.56 H₁: p=0.56
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