In 2005, Health Canada claimed that 16.9% of Canadian adults are obese. A researcher wanted to check whether this percentage has decreased in 2009. He randomly selected 225 Canadian adults and found 33 of them are obese. Use3% significance level. Null and alternative hypothesis are     H0: p < 0.169, H1: p >= 0.169     H0: mu >= 16.9, H1: mu < 16.9     H0: mu < 16.9, H1: mu >= 16.9     H0: p >= 0.169, H1: p < 0.169

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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In 2005, Health Canada claimed that 16.9% of Canadian adults are obese. A researcher wanted to check whether this percentage has decreased in 2009. He randomly selected 225 Canadian adults and found 33 of them are obese. Use3% significance level. Null and alternative hypothesis are
   
H0: p < 0.169, H1: p >= 0.169
   
H0: mu >= 16.9, H1: mu < 16.9
   
H0: mu < 16.9, H1: mu >= 16.9
   
H0: p >= 0.169, H1: p < 0.169
Expert Solution
Step 1

Given,

Statistics homework question answer, step 1, image 1

The sample proportion is,

Statistics homework question answer, step 1, image 2

 

Step 2

The null and alternative hypothesis is:

Statistics homework question answer, step 2, image 1

 

Calculate test statistic:

Under the null hypothesis, the test statistic for one sample proportion is,

Statistics homework question answer, step 2, image 2

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