According to the U.S. Census Bureau, 69% of children under the age of 18 years in the United States lived with two parents in 2009. Suppose that in a recent sample of 1975 children, 1265 were living with two parents. a. Using the critical value approach and a = 0.02, test whether the current percentage of all children under the age of 18 years in the United States who live with two parents is different from 69%. Round your answer for z to two decimal places. Zobserved" Zeritical left Zeritical right We the null hypothesis. We conclude that the current percentage of all children under the age of 18 years in the United States who live with two parents is v 69%. b. How do you explain the Type l error in part a? What is the probability of making this error in part a? The Type l error occurs when we conclude that the current percentage of all children under the age of 18 years in the United States who live with two parents is 69%, when it is 69%. P(Type l error) = different from not different from c. Calculate the p-value for the test of part a. What is your conclusion if a = 0.06? Round your answer for the p-value to four decimal places. p-value - i For a = 0.06, we Но-

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.1: Measures Of Center
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According to the U.S. Census Bureau, 69% of children under the age of 18 years in the United States lived with two parents in 2009.
Suppose that in a recent sample of 1975 children, 1265 were living with two parents.
a. Using the critical value approach and a = 0.02, test whether the current percentage of all children under the age of 18 years in
the United States who live with two parents is different from 69%.
Round your answer for z to two decimal places.
Zobserved
Zaritical left =
i
Zeritical right
i
We
the null hypothesis.
We conclude that the current percentage of all children under the age of 18 years in the United States who live with two parents is
v 69%.
b. How do you explain the Type l error in part a? What is the probability of making this error in part a?
The Type l error occurs when we conclude that the current percentage of all children under the age of 18 years in the United States
who live with two parents is
69%, when it is
69%.
different from
P(Type l error) = i
not different from
c.Calculate the p-value for the test of part a. What is your conclusion if a = 0.06?
Round your answer for the p-value to four decimal places.
p-value = i
For a = 0.06, we
v Ho.
Transcribed Image Text:According to the U.S. Census Bureau, 69% of children under the age of 18 years in the United States lived with two parents in 2009. Suppose that in a recent sample of 1975 children, 1265 were living with two parents. a. Using the critical value approach and a = 0.02, test whether the current percentage of all children under the age of 18 years in the United States who live with two parents is different from 69%. Round your answer for z to two decimal places. Zobserved Zaritical left = i Zeritical right i We the null hypothesis. We conclude that the current percentage of all children under the age of 18 years in the United States who live with two parents is v 69%. b. How do you explain the Type l error in part a? What is the probability of making this error in part a? The Type l error occurs when we conclude that the current percentage of all children under the age of 18 years in the United States who live with two parents is 69%, when it is 69%. different from P(Type l error) = i not different from c.Calculate the p-value for the test of part a. What is your conclusion if a = 0.06? Round your answer for the p-value to four decimal places. p-value = i For a = 0.06, we v Ho.
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