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 400 females aged 15 and older and finds that 246 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) V10, the sample size is 5% of the population size, and the sample V the requirements for testing the hypothesis V satisfied. (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. Но (Type integers or decimals. Do not round.) versus H1: Find the test statistic for this hypothesis test. Zo = (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. P-value = (Round to three decimal places as needed.) e 3= State the conclusion for this hypothesis test. O A. 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. 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 C. 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. D. 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
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 400 females aged 15 and older and finds that 246 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)
10, the sample size is
V 5% of the population size, and the sample
V the requirements for testing the hypothesis
V satisfied.
(Round to one decimal place as needed.)
Identify the null and alternative hypotheses for this test.
Ho:
versus H1:
(Type integers or decimals. Do not round.)
Find the test statistic for this hypothesis test.
Zo
(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.
A. 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. Do not reject Ho. There is not sufficient evidence at the = 0.1 level of significance to conclude that the proportion of females who are living
alone has changed.
C. 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.
D. 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.
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 400 females aged 15 and older and finds that 246 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) 10, the sample size is V 5% of the population size, and the sample V the requirements for testing the hypothesis V satisfied. (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. Ho: versus H1: (Type integers or decimals. Do not round.) Find the test statistic for this hypothesis test. Zo (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. A. 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. Do not reject Ho. There is not sufficient evidence at the = 0.1 level of significance to conclude that the proportion of females who are living alone has changed. C. 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. D. 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.
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