P-value = .123 (Round to three decimal places as needed.) Interpret the results. Since the P-value is than a, V the null hypothesis. There sufficient evidence at the a = |level of significance to conclude that the proportion of families with children under the age of 18 whe eat dinner together seven nights a week is (Type integers or decimals. Do not round.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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In a previous poll, 43% 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, 1112 adults with children under the age of 18 were
selected at random, and 459 of those 1112 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 = 0.01 significance level.
Because npo (1- Po)
= 272.6
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?
Hoi P =
0.43 versus H1:
0.43
<
(Type integers or decimals. Do not round.)
Find the test statistic, zo.
Zo =
- 1.16 (Round to two decimal places as needed.)
Find the P-value.
P-value = .123 (Round to three decimal places as needed.)
Interpret the results.
Since the P-value is
than a,
the null hypothesis. There
sufficient evidence at
the a =
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
(Type integers or decimals. Do not round.)
Transcribed Image Text:In a previous poll, 43% 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, 1112 adults with children under the age of 18 were selected at random, and 459 of those 1112 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 = 0.01 significance level. Because npo (1- Po) = 272.6 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? Hoi P = 0.43 versus H1: 0.43 < (Type integers or decimals. Do not round.) Find the test statistic, zo. Zo = - 1.16 (Round to two decimal places as needed.) Find the P-value. P-value = .123 (Round to three decimal places as needed.) Interpret the results. Since the P-value is than a, the null hypothesis. There sufficient evidence at the a = 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 (Type integers or decimals. Do not round.)
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