In a previous poll, 34% 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, 337 of 1064 adults with children under the age of 18 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) = 238.8 > 10 and the sample size is less than 5% of the population size, and the sample can be reasonably assumed to be random, the requirements for testing the hypothesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: p = 0.34 versus H,:p < 0.34 %3D (Type integers or decimals. Do not round.) Find the test statistic, zo. zo = - 1.60 (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.)

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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Can you help me determine the P value for the following equation?

In a previous poll, 34% 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, 337 of 1064 adults with children under the age of 18 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) = 238.8 >
> 10 and the sample size is
less than
5% of the population size, and the sample
can be reasonably assumed to be random,
the requirements for testing the hypothesis
satisfied.
are
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
p = 0.34 versus H,: p
0.34
(Type integers or decimals. Do not round.)
Find the test statistic, zo.
Zo =
1.60 (Round to two decimal places as needed.)
Find the P-value.
P-value =
(Round to three decimal places as needed.)
Transcribed Image Text:In a previous poll, 34% 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, 337 of 1064 adults with children under the age of 18 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) = 238.8 > > 10 and the sample size is less than 5% of the population size, and the sample can be reasonably assumed to be random, the requirements for testing the hypothesis satisfied. are (Round to one decimal place as needed.) What are the null and alternative hypotheses? p = 0.34 versus H,: p 0.34 (Type integers or decimals. Do not round.) Find the test statistic, zo. Zo = 1.60 (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.)
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