State the conclusion for this hypothesis test. OA. Do not reject Ho. There is not sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed. B. Reject Ho. There is not sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed. OC. Do not reject Ho. There is sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed. O D. Reject Ho. There is sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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In a previous year, 59% 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 258 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) = 108.9
> 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.
Họ:
p
= 0.59 versus H,: p
0.59
(Type integers or decimals. Do not round.)
Find the test statistic for this hypothesis test.
Zn = -0.72 (Round to two decimal places as needed.)
Determine the P-value for this hypothesis test.
P-value = 0,472 (Round to three decimal places as needed.)
State the conclusion for this hypothesis test.
O A. Do not reject Ho. There is not sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed.
O B. Reject H. There is not sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed.
O C. Do not reject Ho. There is sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed.
O D. Reject Ho. There is sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed.
Transcribed Image Text:In a previous year, 59% 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 258 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) = 108.9 > 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. Họ: p = 0.59 versus H,: p 0.59 (Type integers or decimals. Do not round.) Find the test statistic for this hypothesis test. Zn = -0.72 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. P-value = 0,472 (Round to three decimal places as needed.) State the conclusion for this hypothesis test. O A. Do not reject Ho. There is not sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed. O B. Reject H. There is not sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed. O C. Do not reject Ho. There is sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed. O D. Reject Ho. There is sufficient evidence at the a = 0.1 level of significance to conclude that the proportion of females who are living alone has changed.
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