In a previous​ year, 54​% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 500 females aged 15 and older and finds that 264 are living alone. Is there sufficient evidence at the α=0.05 level of significance to conclude the proportion has​changed?

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In a previous​ year, 54​% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 500 females aged 15 and older and finds that 264 are living alone. Is there sufficient evidence at the α=0.05 level of significance to conclude the proportion has​changed?

In a previous year, 54% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of
500 females aged 15 and older and finds that 264 are living alone. Is there sufficient evidence at the a = 0.05 level of significance to conclude the proportion has
changed?
Because npo (1- Po) = |0.7|
< 10, the sample size is
less than
5% of the population size, and the sample
can be reasonably assumed to be random,
%3D
the requirements for testing the hypothesis
are
satisfied.
(Round to one decimal place as needed.)
Transcribed Image Text:In a previous year, 54% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 500 females aged 15 and older and finds that 264 are living alone. Is there sufficient evidence at the a = 0.05 level of significance to conclude the proportion has changed? Because npo (1- Po) = |0.7| < 10, the sample size is less than 5% of the population size, and the sample can be reasonably assumed to be random, %3D the requirements for testing the hypothesis are satisfied. (Round to one decimal place as needed.)
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