In a previous poll, 31% 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, 1199 adults with children under the age of 18 were selected at random, and 350 of those 1199 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=0.05 significance level. Because npo (1-P) - 2565 > 10 and the sample size is 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 (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho P=31 versus H₁ p < 31 (Type integers or decimals. Do not round.) Find the test statistic, Zo Zo= -1.36 (Round to two decimal places as needed) Find the P-value P-value = 087 (Round to three decimal places as needed.) Interpret the results. Since the P-value is greater than a do not reject the null hypothesis. There 0 (Type integers or decimals. Do not round) ufficient evidence at the a= level of significance to conclude oportion of families with children under the age of 18 who eat dinner together seven nights a week is Y

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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In a previous poll, 31% 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, 1199 adults with children under the age of 18 were selected at random, and 350 of those 1199 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 = 0.05 significance level.
Because npo (1-Po) = 256.5 > 10 and the sample size is
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
31 versus H P <31
но: р
(Type integers or decimals. Do not round.)
Find the test statistic, Zo-
Zo 1.36 (Round to two decimal places as needed.)
=
Find the P-value.
P-value= .087 (Round to three decimal places as needed.)
Interpret the results.
Since the P-value is greater than a, do not reject the null hypothesis. There
(Type integers or decimals. Do not round.)
less than 5% of the population size, and the adults in the sample were
is sufficient evidence at the α=
1200
दे
selected at random, all of the requirements for testing the hypothesis are
satisfied
level of significance to conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week is
Transcribed Image Text:In a previous poll, 31% 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, 1199 adults with children under the age of 18 were selected at random, and 350 of those 1199 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 = 0.05 significance level. Because npo (1-Po) = 256.5 > 10 and the sample size is (Round to one decimal place as needed.) What are the null and alternative hypotheses? 31 versus H P <31 но: р (Type integers or decimals. Do not round.) Find the test statistic, Zo- Zo 1.36 (Round to two decimal places as needed.) = Find the P-value. P-value= .087 (Round to three decimal places as needed.) Interpret the results. Since the P-value is greater than a, do not reject the null hypothesis. There (Type integers or decimals. Do not round.) less than 5% of the population size, and the adults in the sample were is sufficient evidence at the α= 1200 दे selected at random, all of the requirements for testing the hypothesis are satisfied level of significance to conclude that the proportion of families with children under the age of 18 who eat dinner together seven nights a week is
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