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 2000 children, 1249 were living with two parents. a. Using the critical value approach and a = 0.05, 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 = i Zcritical left = i Zcritical 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 69%. b. How do you explain the TypeI error in part a? What is the probability of making this error in part a? The Type I 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 I error) = c. Calculate the p-value for the test of part a. What is your conclusion if a = 0.04? Round your answer for the p-value to four decimal places. p-value = i For a = 0.04, we v Ho.

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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 2000 children, 1249 were living with two parents.
a. Using the critical value approach and a = 0.05, 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 =
i
Zcritical left =
i
Zcritical 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
69%.
b. How do you explain the TypeI error in part a? What is the probability of making this error in part a?
The Type I 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 I error) =
c. Calculate the p-value for the test of part a. What is your conclusion if a = 0.04?
Round your answer for the p-value to four decimal places.
p-value =
i
For a = 0.04, 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 2000 children, 1249 were living with two parents. a. Using the critical value approach and a = 0.05, 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 = i Zcritical left = i Zcritical 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 69%. b. How do you explain the TypeI error in part a? What is the probability of making this error in part a? The Type I 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 I error) = c. Calculate the p-value for the test of part a. What is your conclusion if a = 0.04? Round your answer for the p-value to four decimal places. p-value = i For a = 0.04, we v Ho.
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