Nutrient deficiencies exist extensively among many members of the U.S population. More specifically, a research company claims that 90% of the U.S. population is Vitamin D deficient. A skeptical member of this research company decides to test this claim. He collects a random sample of 100 individuals from the U.S. population and determines that 84 individuals in the sample are Vitamin D deficient. Is there evidence that the true proportion of Vitamin D deficient individuals has decreased at the 0.01 significance level? What is the critical value for this hypothesis test? qnorm(0.005) = -2.576 O gnorm(0.01) = -2.326 O qt(0.01, df = 99) = -2.365 O qt(0.005, df = 99) = -2.626 %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
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The 99% confidence interval for the proportion of U.S. individuals who are Vitamin D deficient obtained based on the sample will...

a) contain 0.90 (the null value) in the interval.
b) NOT contain 0.90 (the null value) in the interval.
Nutrient deficiencies exist extensively among many members of the U.S population. More specifically, a
research company claims that 90% of the U.S. population is Vitamin D deficient. A skeptical member of this
research company decides to test this claim. He collects a random sample of 100 individuals from the U.S.
population and determines that 84 individuals in the sample are Vitamin D deficient. Is there evidence that
the true proportion of Vitamin D deficient individuals has decreased at the 0.01 significance level?
What is the critical value for this hypothesis test?
qnorm(0.005) = -2.576
O gnorm(0.01) = -2.326
O qt(0.01, df = 99) = -2.365
O qt(0.005, df = 99) = -2.626
%3D
Transcribed Image Text:Nutrient deficiencies exist extensively among many members of the U.S population. More specifically, a research company claims that 90% of the U.S. population is Vitamin D deficient. A skeptical member of this research company decides to test this claim. He collects a random sample of 100 individuals from the U.S. population and determines that 84 individuals in the sample are Vitamin D deficient. Is there evidence that the true proportion of Vitamin D deficient individuals has decreased at the 0.01 significance level? What is the critical value for this hypothesis test? qnorm(0.005) = -2.576 O gnorm(0.01) = -2.326 O qt(0.01, df = 99) = -2.365 O qt(0.005, df = 99) = -2.626 %3D
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