In a previous poll, 39% 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, 422 of 1145 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= 0.01 significance level. Because npo (1-Po) = 272.4 > 10 and the sample size is the hypothesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: P = versus H₁: (Type integers or decimals. Do not round.) Find the test statistic, Zo- Zo = (Round to two decimal places as needed.) Find the P-value. less than 5% of the population size, and the sample is given to be random, the requirements for testin 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. OA. No, there is not sufficient evidence because the P-value is greater than the level of significance. Therefore, do not reject the null hypothesis. OB. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Therefore, do not reject the null hypothesis. C. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Therefore, reject the null hypothesis. OD. No, there is not sufficient evidence because the P-value is greater than the level of significance. Therefore, reject the null hypothesis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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In a previous poll, 39% 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, 422 of 1145 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 x = 0.01 significance level.
Because npo (1-Po) = 272.4 > 10 and the sample size is
the hypothesis are satisfied.
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
Ho: P
= versus H₁: ▼ V
(Type integers or decimals. Do not round.)
Find the test statistic, Zo-
C
less than 5% of the population size, and the sample
is given to be random,
the requirements for testing
Zo = (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.
OA. No, there is not sufficient evidence because the P-value is greater than the level of significance. Therefore, do not reject the null hypothesis.
OB. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Therefore, do not reject the null hypothesis.
OC. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Therefore, reject the null hypothesis.
OD. No, there is not 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, 39% 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, 422 of 1145 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 x = 0.01 significance level. Because npo (1-Po) = 272.4 > 10 and the sample size is the hypothesis are satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: P = versus H₁: ▼ V (Type integers or decimals. Do not round.) Find the test statistic, Zo- C less than 5% of the population size, and the sample is given to be random, the requirements for testing Zo = (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. OA. No, there is not sufficient evidence because the P-value is greater than the level of significance. Therefore, do not reject the null hypothesis. OB. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Therefore, do not reject the null hypothesis. OC. Yes, there is sufficient evidence because the P-value is greater than the level of significance. Therefore, reject the null hypothesis. OD. No, there is not sufficient evidence because the P-value is greater than the level of significance. Therefore, reject the null hypothesis.
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