Suppose across all cities in Florida, the proportion of people young adults (age

Question

Suppose across all cities in Florida, the proportion of people young adults (ages 20 to 30) who have attended a roller derby match is 0.32. Tyree believes that the proportion of young adults in his city who have attended a roller derby match is greater than the state population proportion. He decides to test this idea using a one-sample z-test for a population proportion using a significance level of a-0.05. He conducts a survey of 175 randomly selected people aged 20 to 30 in his community and finds that 63 of them have attended a roller derby match. His sample data, along with the significance level, are summarized in the table. Sample Sample count Significance level Sample value p-value 0.128 proportionStatist Probability size 7n 175 63 0.36 1.13 0.05 Identify the null (Ho) and alternative (H) hypotheses for Tyree's test. Then determine what decision Tyree should make about the null hypothesis Ho: Hi: Tyree should the null hypothesis because the p-value is

Explanation / Answer

State proportion of people who had attended a roller derby match=0.32

Tyree believes that in his city the proportion is greater than the state proportion.

So,the hypothesis are:

Ho: p=0.32 vs H1: p>0.32

Where p:proportion of people who attended the roller derby match.

Now we see that p value =0.128 and alpha=0.05.So we see that p value is greater than alpha.Hence we accept H0 and conclude that p=0.32.

So,Tyree should accept the null hypothesis because the p value is 0.128.

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