a. Using the critical value approach and a = 0.1, 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. -8.757 Zobserved Zcritical left Zeritical right b. How do you explain the Type I error 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 different from 69%, when it is not different from 69%, To.01 P(Type I error) c. Calculate the p-value for the test of part a. What is your conclusion if a = 0.02? Round your answer for the p-value to four decimal places. Го.60 p-value For a = 0.02, we reject Но-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 70E
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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 2025 children, 1218 were living with two parents.

a. Using the critical value approach and a = 0.1, 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.
-8.757
Zobserved
Zcritical left
Zeritical right
Transcribed Image Text:a. Using the critical value approach and a = 0.1, 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. -8.757 Zobserved Zcritical left Zeritical right
b. How do you explain the Type I error
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 different from
69%, when it is not different from
69%,
To.01
P(Type I error)
c. Calculate the p-value for the test of part a. What is your conclusion if a = 0.02?
Round your answer for the p-value to four decimal places.
Го.60
p-value
For a = 0.02, we reject
Но-
Transcribed Image Text:b. How do you explain the Type I error 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 different from 69%, when it is not different from 69%, To.01 P(Type I error) c. Calculate the p-value for the test of part a. What is your conclusion if a = 0.02? Round your answer for the p-value to four decimal places. Го.60 p-value For a = 0.02, we reject Но-
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