In a previous poll, 30% 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, 328 of 1160 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) = 243.6 > 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? = 0.30 versus H: p < 0.30 Ho: p (Type integers or decimals. Do not round.) Find the test statistic, zo Zo = - 1.28 (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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In a previous poll, 30% 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, 328 of 1160 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) = 243.6 > 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?
= 0.30 versus H: p
< 0.30
Ho: p
(Type integers or decimals. Do not round.)
Find the test statistic, zo
Zo = - 1.28 (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, 30% 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, 328 of 1160 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) = 243.6 > 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? = 0.30 versus H: p < 0.30 Ho: p (Type integers or decimals. Do not round.) Find the test statistic, zo Zo = - 1.28 (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.)
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