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 = 0.39 versus H₁: p (Type integers or decimals. Do not round.) Find the test statistic, Zo- < 0.39 Zo=1.49 (Round to two decimal places as needed.) Find the P-value. less than I 5% of the population size, and the sample is given to be random, the requirements for testing 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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 = 0.39 versus H₁: p < 0.39
(Type integers or decimals. Do not round.)
Find the test statistic, Zo
Zo=1.49 (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 testing
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.
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 = 0.39 versus H₁: p < 0.39 (Type integers or decimals. Do not round.) Find the test statistic, Zo Zo=1.49 (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 testing 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. 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.
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman