In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1186 adults with children under the age of 18 were selected at random, and 428 of those 1186 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the a= 0.01 significance level. Because npo (1-Po)=L 10 and the sample size is (Round to one decimal place as needed.) 5% of the population size, and the adults in the sample selected at random, all of the requirements for testing the hypothesis satisfied.
In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1186 adults with children under the age of 18 were selected at random, and 428 of those 1186 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven nights a week has decreased? Use the a= 0.01 significance level. Because npo (1-Po)=L 10 and the sample size is (Round to one decimal place as needed.) 5% of the population size, and the adults in the sample selected at random, all of the requirements for testing the hypothesis satisfied.
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
Related questions
Question
![In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1186 adults with children under the age of 18 were selected
at random, and 428 of those 1186 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven
nights a week has decreased? Use the α = 0.01 significance level.
Because npo (1-Po)
10 and the sample size is
(Round to one decimal place as needed.)
=
5% of the population size, and the adults in the sample
selected at random, all of the requirements for testing the hypothesis
satisfied.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac3be618-b645-4bd8-855b-808ff3fc18d4%2F1bf6b922-5cc8-4c6c-a616-ce1863938327%2F5yuyet_processed.png&w=3840&q=75)
Transcribed Image Text:In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1186 adults with children under the age of 18 were selected
at random, and 428 of those 1186 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven
nights a week has decreased? Use the α = 0.01 significance level.
Because npo (1-Po)
10 and the sample size is
(Round to one decimal place as needed.)
=
5% of the population size, and the adults in the sample
selected at random, all of the requirements for testing the hypothesis
satisfied.
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
![In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1186 adults with children under the age of 18 were selected
at random, and 428 of those 1186 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven
nights a week has decreased? Use the α = 0.01 significance level.
Because npo (1-Po) = 279.4 > 10 and the sample size is
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
Ho: P = 0.38 versus H₁: р
(Type integers or decimals. Do not round.)
Find the test statistic, Zo.
< 0.38
Zo = - 1.36 (Round to two decimal places as needed.)
Find the P-value.
P-value = 0.088 (Round to three decimal places as needed.)
Interpret the results.
Since the P-value is
than α,
together seven nights a week is
(Type integers or decimals. Do not round.)
less than 5% of the population size, and the adults in the sample were selected at random, all of the requirements for testing the hypothesis are satisfied.
the null hypothesis. There
sufficient evidence at the α =
level of significance to conclude that the proportion of families with children under the age of 18 who eat dinner](https://content.bartleby.com/qna-images/question/ac3be618-b645-4bd8-855b-808ff3fc18d4/1a36fa8f-1c5e-46ca-9048-2240bc8fd730/iyk8dlg_thumbnail.png)
Transcribed Image Text:In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1186 adults with children under the age of 18 were selected
at random, and 428 of those 1186 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven
nights a week has decreased? Use the α = 0.01 significance level.
Because npo (1-Po) = 279.4 > 10 and the sample size is
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
Ho: P = 0.38 versus H₁: р
(Type integers or decimals. Do not round.)
Find the test statistic, Zo.
< 0.38
Zo = - 1.36 (Round to two decimal places as needed.)
Find the P-value.
P-value = 0.088 (Round to three decimal places as needed.)
Interpret the results.
Since the P-value is
than α,
together seven nights a week is
(Type integers or decimals. Do not round.)
less than 5% of the population size, and the adults in the sample were selected at random, all of the requirements for testing the hypothesis are satisfied.
the null hypothesis. There
sufficient evidence at the α =
level of significance to conclude that the proportion of families with children under the age of 18 who eat dinner
Solution
Follow-up Question
![In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1186 adults with children under the age of 18 were selected
at random, and 428 of those 1186 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven
nights a week has decreased? Use the α = 0.01 significance level.
Because npo (1-Po) = 279.4 > 10 and the sample size is
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
но: р
= 0.38 versus H₁: p
(Type integers or decimals. Do not round.)
Find the test statistic, Zo.
< 0.38
Zo -1.36 (Round to two decimal places as needed.)
=
Find the P-value.
P-value = (Round to three decimal places as needed.)
less than 5% of the population size, and the adults in the sample
were
selected at random, all of the requirements for testing the hypothesis are satisfied.](https://content.bartleby.com/qna-images/question/ac3be618-b645-4bd8-855b-808ff3fc18d4/d3ec1772-8cc8-4a0b-929d-315c69b6fe95/zlcy4vo_thumbnail.png)
Transcribed Image Text:In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1186 adults with children under the age of 18 were selected
at random, and 428 of those 1186 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven
nights a week has decreased? Use the α = 0.01 significance level.
Because npo (1-Po) = 279.4 > 10 and the sample size is
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
но: р
= 0.38 versus H₁: p
(Type integers or decimals. Do not round.)
Find the test statistic, Zo.
< 0.38
Zo -1.36 (Round to two decimal places as needed.)
=
Find the P-value.
P-value = (Round to three decimal places as needed.)
less than 5% of the population size, and the adults in the sample
were
selected at random, all of the requirements for testing the hypothesis are satisfied.
Solution
Follow-up Question
![In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1186 adults with children under the age of 18 were selected
at random, and 428 of those 1186 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven
nights a week has decreased? Use the α = 0.01 significance level.
Because npo (1-Po) = 279.4 > 10 and the sample size is
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
Ho: P
= 0.38 versus H₁: р
(Type integers or decimals. Do not round.)
Find the test statistic, Zo.
< 0.38
Zo (Round to two decimal places as needed.)
=
less than
5% of the population size, and the adults in the sample
were
selected at random, all of the requirements for testing the hypothesis are satisfied.](https://content.bartleby.com/qna-images/question/ac3be618-b645-4bd8-855b-808ff3fc18d4/66c48616-85a5-43ca-b15f-0f5a6ad14404/y2e1wh9_thumbnail.png)
Transcribed Image Text:In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1186 adults with children under the age of 18 were selected
at random, and 428 of those 1186 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven
nights a week has decreased? Use the α = 0.01 significance level.
Because npo (1-Po) = 279.4 > 10 and the sample size is
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
Ho: P
= 0.38 versus H₁: р
(Type integers or decimals. Do not round.)
Find the test statistic, Zo.
< 0.38
Zo (Round to two decimal places as needed.)
=
less than
5% of the population size, and the adults in the sample
were
selected at random, all of the requirements for testing the hypothesis are satisfied.
Solution
Follow-up Question
![In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1186 adults with children under the age of 18 were selected
at random, and 428 of those 1186 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven
nights a week has decreased? Use the α = 0.01 significance level.
Because npo (1-Po) = 279.4 > 10 and the sample size is
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
Ho:
versus H₁:
(Type integers or decimals. Do not round.)
less than 5% of the population size, and the adults in the sample were
selected at random, all of the requirements for testing the hypothesis are satisfied.](https://content.bartleby.com/qna-images/question/ac3be618-b645-4bd8-855b-808ff3fc18d4/a55fb8c9-51bf-49c2-81c1-0d733a80cd5d/f3ek9do_thumbnail.png)
Transcribed Image Text:In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights a week. Suppose that, in a more recent poll, 1186 adults with children under the age of 18 were selected
at random, and 428 of those 1186 adults reported that their family ate dinner together seven nights a week. Is there sufficient evidence that the proportion of families with children under the age of 18 who eat dinner together seven
nights a week has decreased? Use the α = 0.01 significance level.
Because npo (1-Po) = 279.4 > 10 and the sample size is
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
Ho:
versus H₁:
(Type integers or decimals. Do not round.)
less than 5% of the population size, and the adults in the sample were
selected at random, all of the requirements for testing the hypothesis are satisfied.
Solution
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