In a previous year, 61% 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 277 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) = 107.1 > 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 satisfied. are (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. Ho: 0,61 versus H: p + 0,61 (Type integers or decimals: Do not round.) Find the test statistic. Zo = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer.

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Can you help me find the test statistic for this hypothesis test and help me determine the P value?

In a previous year, 61% 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 277 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) = 107.1
> 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
(Round to one decimal place as needed.)
are
satisfied.
Identify the null and alternative hypotheses for this test.
Ho: p
0.61 versus H1: p
0.61
%3D
(Type integers or decimals. Do not round.)
Find the test statistic.
(Round to two decimal places as needed.)
Find the P-value.
P-value =
(Round to three decimal places as needed.)
Enter your answer in the answer box and then click Check Answer.
2 parts
remaining
Clear All
Check Answer
Transcribed Image Text:In a previous year, 61% 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 277 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) = 107.1 > 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 (Round to one decimal place as needed.) are satisfied. Identify the null and alternative hypotheses for this test. Ho: p 0.61 versus H1: p 0.61 %3D (Type integers or decimals. Do not round.) Find the test statistic. (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. 2 parts remaining Clear All Check Answer
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