ina previous poll, 35% 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, 1088 adults with children under the age of 18 were selected at random, and 361 of those 1088 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-Po) = 247.5 > 10 and the sample size is less than 5% of the population size, and the adults in the sample selected at random, all of the requirements for testing the hypothesis were are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? versus H,: Ho: (Type integers or decimals. Do not round.)

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In a previous poll, 35% 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, 1088 adults with children under the age of 18 were selected at random, and 361 of those 1088 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 \( n p_0 (1 - p_0) = 247.5 \gt 10 \) 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?

\( H_0: [\ ] [\ ] \) versus \( H_1: [\ ] [\ ] \)

(Type integers or decimals. Do not round.)
Transcribed Image Text:In a previous poll, 35% 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, 1088 adults with children under the age of 18 were selected at random, and 361 of those 1088 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 \( n p_0 (1 - p_0) = 247.5 \gt 10 \) 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? \( H_0: [\ ] [\ ] \) versus \( H_1: [\ ] [\ ] \) (Type integers or decimals. Do not round.)
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