A researcher wanted to study if the rate of obesity in a given village was the same as the global rate. She collected data from a random sample of 150 adults and found 14 of the adults in the sample were obese. It is claimed that 13% of adults globally are obese. (a) State an appropriate null and alternative hypotheses for the study. (b) Using a 5% significance level, obtain the test statistic for the hypothesis you proposed for part (a), clearly stating any assumptions you have made.  (c) The exact p-value associated with the hypothesis for the study is 0.186. What should the researcher’s conclusion be based on this value?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A researcher wanted to study if the rate of obesity in a given village
was the same as the global rate. She collected data from a random
sample of 150 adults and found 14 of the adults in the sample were
obese. It is claimed that 13% of adults globally are obese.
(a) State an appropriate null and alternative hypotheses for the study.

(b) Using a 5% significance level, obtain the test statistic for the
hypothesis you proposed for part (a), clearly stating any
assumptions you have made. 
(c) The exact p-value associated with the hypothesis for the study is
0.186. What should the researcher’s conclusion be based on this
value?

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