In a previous poll, 41% 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, 461 of 1173 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 = 0.05 significance level. Because npo (1-Po) = 10 and the sample size is V 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? V versus H, Но (Type integers or decimals. Do not round.) 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.) 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? Choose the correct answer below. O A. No, there is not sufficient evidence because the P-value is greater than the level of significance. Therefore, do not reject the null hypothesis. O B. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Therefore, do not reject the null hypothesis. O C. No, there is not sufficient evidence because the P-value is greater than the level of significance. Therefore, reject the null hypothesis. O D. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Therefore, reject the null hypothesis.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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In a previous poll, 41% 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, 461 of 1173 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 = 0.05 significance level.
Because npo (1-Po) = 10 and the sample size is
V 5% of the population size, and the sample
the requirements for testing the hypothesis
satisfied.
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
V versus H,
Но
(Type integers or decimals. Do not round.)
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.)
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? Choose the
correct answer below.
O A. No, there is not sufficient evidence because the P-value is greater than the level of significance. Therefore, do not reject the null hypothesis.
O B. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Therefore, do not reject the null hypothesis.
O C. No, there is not sufficient evidence because the P-value is greater than the level of significance. Therefore, reject the null hypothesis.
O D. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Therefore, reject the null hypothesis.
Transcribed Image Text:In a previous poll, 41% 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, 461 of 1173 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 = 0.05 significance level. Because npo (1-Po) = 10 and the sample size is V 5% of the population size, and the sample the requirements for testing the hypothesis satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? V versus H, Но (Type integers or decimals. Do not round.) 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.) 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? Choose the correct answer below. O A. No, there is not sufficient evidence because the P-value is greater than the level of significance. Therefore, do not reject the null hypothesis. O B. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Therefore, do not reject the null hypothesis. O C. No, there is not sufficient evidence because the P-value is greater than the level of significance. Therefore, reject the null hypothesis. O D. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Therefore, reject the null hypothesis.
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