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, 1175 adults with children under the age of 18 were selected at random, and 392 of those 1175 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 = 0.1 significance level. Find the test statistic, zo- Zo = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Interpret the results. the null hypothesis. There V sufficient evidence at the a= level of significance to conclude that the proportion of families with Since the P-value is V than a, children under the age of 18 who eat dinner together seven nights a week is (Type integers or decimals. Do not round.)

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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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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, 1175 adults with
children under the age of 18 were selected at random, and 392 of those 1175 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 = 0.1 significance level.
Because npo (1– Po)
V 5% of the population size, and the adults in the sample
V selected at random, all of the requirements for
10 and the sample size is
testing the hypothesis
V 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.)
Find the test statistic, zo
Zo =
(Round to two decimal places as needed.)
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, 1175 adults with children under the age of 18 were selected at random, and 392 of those 1175 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 = 0.1 significance level. Because npo (1– Po) V 5% of the population size, and the adults in the sample V selected at random, all of the requirements for 10 and the sample size is testing the hypothesis V 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.) Find the test statistic, zo Zo = (Round to two decimal places as needed.)
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, 1175 adults with
children under the age of 18 were selected at random, and 392 of those 1175 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 = 0.1 significance level.
Find the test statistic, zo-
Zn =
(Round to two decimal places as needed.)
Find the P-value.
P-value =
(Round to three decimal places as needed.)
Interpret the results.
v the null hypothesis. There
V sufficient evidence at the a = level of significance to conclude that the proportion of families with
V than a,
Since the P-value is
children under the age of 18 who eat dinner together seven nights a week is
(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, 1175 adults with children under the age of 18 were selected at random, and 392 of those 1175 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 = 0.1 significance level. Find the test statistic, zo- Zn = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Interpret the results. v the null hypothesis. There V sufficient evidence at the a = level of significance to conclude that the proportion of families with V than a, Since the P-value is children under the age of 18 who eat dinner together seven nights a week is (Type integers or decimals. Do not round.)
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