In a previous year, 50% 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 300 females aged years of age and older and finds that 168 are living alone. Is there sufficient evidence at the a-0.05 level of significance to conclude the proportion has changed? Identify the null and alterative hypotheses for this test OA. Hop<0.59 H, p=0.50 OD. Hp 0.50 H₁ p<0.59 Find the test statistic for this hypothesis test z (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 OB. H₂ p 0.59 Hp 0.50 OE H₂p0.50 H, p=0.59 COM OC. Hop#050 HP 0.59 OF Hp: p=0.59 H₁ p>0.59 OA Do not reject Ho. There is not sufficient evidence at the a0.05 level of significance to conclude that the proportion of females who are living alone has changed. OB. 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. OC. 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, OD. 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.

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In a previous year, 50% 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 300 females aged 15
years of age and older and finds that 168 are living alone. Is there sufficient evidence at the ax=0.05 level of significance to conclude the proportion has changed?
Identity the null and alterative hypotheses for this test
OA H₂ p<0.59
H, p=0.50
OD H₂ p=0.59
H₁: p<0.59
Find the test statistic for this hypothesis test
(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.
28
OB. Ho p=0.59
H₁: p0.50
OEHP>0.50
H₁ p=0.59
OC. Ho:p*0.59
H] p=0.59
OF. Ho p=0.59
H₁: p>0.59
OA Do not 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.
OB. 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.
level of significance to conclude that the proportion of females who are living alone has changed
OC Reject Ho. There is sufficient evidence at the a= 0.05
OD. Do not reject Ho. There is sufficient evidence at the
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, 50% 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 300 females aged 15 years of age and older and finds that 168 are living alone. Is there sufficient evidence at the ax=0.05 level of significance to conclude the proportion has changed? Identity the null and alterative hypotheses for this test OA H₂ p<0.59 H, p=0.50 OD H₂ p=0.59 H₁: p<0.59 Find the test statistic for this hypothesis test (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. 28 OB. Ho p=0.59 H₁: p0.50 OEHP>0.50 H₁ p=0.59 OC. Ho:p*0.59 H] p=0.59 OF. Ho p=0.59 H₁: p>0.59 OA Do not 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. OB. 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. level of significance to conclude that the proportion of females who are living alone has changed OC Reject Ho. There is sufficient evidence at the a= 0.05 OD. Do not reject Ho. There is sufficient evidence at the 0.05 level of significance to conclude that the proportion of females who are living alone has changed.
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