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
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
Publisher:Carter
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
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H0: mu >= 16.9, H1: mu < 16.9
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H0: mu < 16.9, H1: mu >= 16.9
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H0: p >= 0.169, H1: p < 0.169
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Expert Solution
Step 1
Given,
The sample proportion is,
Step 2
The null and alternative hypothesis is:
Calculate test statistic:
Under the null hypothesis, the test statistic for one sample proportion is,
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