Inadequate exposure to outdoor lighting conditions may increase the risk of myopia in children. A study was designed to estimate the rates of myopia among young children (6-7 years old) in Australia. A random sample of 124 young children in Australia was selected, and the researchers found that 7 of them had myopia. The researchers are interested in testing whether the proportion of myopia among young children in Australia is above 4%. What are the null and alternative hypotheses? [Select ) What is the test statistic? [ Select] What is the correct conclusid if our alpha value is 0.05? Select from below [ Select ] A. Our test statistic is more extreme than our critical value of 1.645. We reject the null hypothesis and conclude that more than 4% of Australian young children has myopia. B. Our test statistic is less extreme than our critical value of 1.645. We fail to reject the null hypothesis and cannot conclude that more than 4% of Australian young children has myopia. C. Our test statistic is more extreme than our critical value of 1.96. We reject the null hypothesis and conclude that more than 4% of Australian young children has myopia. D. Our test statistic is less extreme than our critical value of 1.96. We fail to reject the null hypothesis and cannot conclude that more than 4% of Australian young children has myopia.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Inadequate exposure to outdoor lighting conditions may increase the risk of myopia in children. A
study was designed to estimate the rates of myopia among young children (6-7 years old) in
Australia. A random sample of 124 young children in Australia was selected, and the researchers
found that 7 of them had myopia. The researchers are interested in testing whether the proportion
of myopia among young children in Australia is above 4%.
What are the null and alternative hypotheses? [Select )
What is the test statistic? [ Select]
What is the correct conclusid if our alpha value is 0.05? Select from below
[ Select ]
A. Our test statistic is more extreme than our critical value of 1.645. We reject the null hypothesis
and conclude that more than 4% of Australian young children has myopia.
B. Our test statistic is less extreme than our critical value of 1.645. We fail to reject the null
hypothesis and cannot conclude that more than 4% of Australian young children has myopia.
C. Our test statistic is more extreme than our critical value of 1.96. We reject the null hypothesis and
conclude that more than 4% of Australian young children has myopia.
D. Our test statistic is less extreme than our critical value of 1.96. We fail to reject the null
hypothesis and cannot conclude that more than 4% of Australian young children has myopia.
Transcribed Image Text:Inadequate exposure to outdoor lighting conditions may increase the risk of myopia in children. A study was designed to estimate the rates of myopia among young children (6-7 years old) in Australia. A random sample of 124 young children in Australia was selected, and the researchers found that 7 of them had myopia. The researchers are interested in testing whether the proportion of myopia among young children in Australia is above 4%. What are the null and alternative hypotheses? [Select ) What is the test statistic? [ Select] What is the correct conclusid if our alpha value is 0.05? Select from below [ Select ] A. Our test statistic is more extreme than our critical value of 1.645. We reject the null hypothesis and conclude that more than 4% of Australian young children has myopia. B. Our test statistic is less extreme than our critical value of 1.645. We fail to reject the null hypothesis and cannot conclude that more than 4% of Australian young children has myopia. C. Our test statistic is more extreme than our critical value of 1.96. We reject the null hypothesis and conclude that more than 4% of Australian young children has myopia. D. Our test statistic is less extreme than our critical value of 1.96. We fail to reject the null hypothesis and cannot conclude that more than 4% of Australian young children has myopia.
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