with children under the age of 18 were selected at random, and 501 of those 1163 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= 0.05 significance level Ho: Р = 0.45 versus H₁: Р < 0.45 (Type integers or decimals. Do not round.) 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. C Since the P-value is greater than a, do not reject the null hypothesis. There is not sufficient evidence at the a= 0.05 level of significance to conclude that the proportion of less than 0.45 families with children under the age of 18 who eat dinner together seven nights a week is (Type integers or decimals. Do not round.)

College Algebra
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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, 45% 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, 1163 adults with children under the age of 18 were selected at random, and 501 of those 1163 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 = 0.05 significance level.
In a previous poll, 45% 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, 1163 adults
with children under the age of 18 were selected at random, and 501 of those 1163 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= 0.05 significance level
Ho Р = 0.45 versus H₁: P < 0.45
(Type integers or decimals. Do not round.)
Find the test statistic, Zo
(Round to two decimal places as needed.)
Zo
Find the P-value.
P-value= (Round to three decimal places as needed.)
Interpret the results.
Since the P-value is greater than a, do not reject the null hypothesis. There is not sufficient evidence at the a= 0.05 level of significance to conclude that the proportion of
less than 0.45
families with children under the age of 18 who eat dinner together seven nights a week is
(Type integers or decimals. Do not round.)
O
I
Bi
994
L
Rain off and on
Submit test
7:12 PM
11/29/2022
19
Transcribed Image Text:In a previous poll, 45% 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, 1163 adults with children under the age of 18 were selected at random, and 501 of those 1163 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= 0.05 significance level Ho Р = 0.45 versus H₁: P < 0.45 (Type integers or decimals. Do not round.) Find the test statistic, Zo (Round to two decimal places as needed.) Zo Find the P-value. P-value= (Round to three decimal places as needed.) Interpret the results. Since the P-value is greater than a, do not reject the null hypothesis. There is not sufficient evidence at the a= 0.05 level of significance to conclude that the proportion of less than 0.45 families with children under the age of 18 who eat dinner together seven nights a week is (Type integers or decimals. Do not round.) O I Bi 994 L Rain off and on Submit test 7:12 PM 11/29/2022 19
In a previous poll, 45% 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, 1163 adults
with children under the age of 18 were selected at random, and 501 of those 1163 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 α = 0.05 significance level.
Because npo (1-Po) = > 10 and the sample size is greater 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?
Ho Р = 0.45 versus H₁: P < 0.45
(Type integers or decimals. Do not round.)
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.)
O
I
99+
Rain off and on
Submit test
7:12 PM
11/29/2022
19
Transcribed Image Text:In a previous poll, 45% 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, 1163 adults with children under the age of 18 were selected at random, and 501 of those 1163 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 α = 0.05 significance level. Because npo (1-Po) = > 10 and the sample size is greater 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? Ho Р = 0.45 versus H₁: P < 0.45 (Type integers or decimals. Do not round.) 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.) O I 99+ Rain off and on Submit test 7:12 PM 11/29/2022 19
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