Identify the null and alternative hypotheses for this test.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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In a previous year, 53% 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 267 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) = 124.6 > 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:
versus H:
(Type integers or decimals. Do not round.
Transcribed Image Text:In a previous year, 53% 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 267 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) = 124.6 > 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: versus H: (Type integers or decimals. Do not round.
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