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 s sufficient evidence at the a = 0.1 level of significance to conclude the proportion has changed? V10, the sample size is | 5% of the population size, and the sample Because npo (1- Po) = (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. ] versus H,: Họ: (Type integers or decimals. Do not round.) Find the test statistic for this hypothesis test. ] (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. P-value =O (Round to three decimal places as needed.) %3D
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 s sufficient evidence at the a = 0.1 level of significance to conclude the proportion has changed? V10, the sample size is | 5% of the population size, and the sample Because npo (1- Po) = (Round to one decimal place as needed.) Identify the null and alternative hypotheses for this test. ] versus H,: Họ: (Type integers or decimals. Do not round.) Find the test statistic for this hypothesis test. ] (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. P-value =O (Round to three decimal places as needed.) %3D
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 550 females aged 15 and older and finds that 289 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
5% of the population size, and the sample
the requirements for testing the hypothesis
satisfied.
(Round to one decimal place as needed.)
Identify the null and alternative hypotheses for this test.
Ho:
versus H:
(Type integers or decimals. Do not round.)
Find the test statistic for this hypothesis test.
Z0 = (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.
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.
B. 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 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.
D. 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffac7cb52-3f0a-43fe-873f-ff56a6ef7ce0%2F68dca15b-4d5b-4056-89eb-defb4a13c4e6%2F4vhj18m_processed.png&w=3840&q=75)
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 550 females aged 15 and older and finds that 289 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
5% of the population size, and the sample
the requirements for testing the hypothesis
satisfied.
(Round to one decimal place as needed.)
Identify the null and alternative hypotheses for this test.
Ho:
versus H:
(Type integers or decimals. Do not round.)
Find the test statistic for this hypothesis test.
Z0 = (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.
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.
B. 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 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.
D. 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.
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