54% of students entering four-year colleges receive a degree within six years. I

Question

54% of students entering four-year colleges receive a degree within six years. Is this percent larger for students who play intramural sports? 453 of the 800 students who played intramural sports received a degree within six years. What can be concluded at the 0.1 level of significance?

H0: p = 0.54

Ha: p                             [ Select ]                       ["<", ">", "Not Equal to"]         0.54

p-Value = [ Select ]                       ["0.060", "0.114", "0.068", "0.119"]         Round your answer to three decimal places

[ Select ] ["Reject the null hypothesis.", "Fail to reject the null hypothesis"]   

Conclusion: There is                             [ Select ]                       ["insufficent", "sufficient"]         evidence to make the conclusion that the population proportion of college students who play intramural sports that receive a degree within six years is greater than 0.54.

Explanation / Answer

Ha: p > 0.54 since the question is whether the percent is larger than 0.54 and we normally put the question asked in the alternative hypothesis.

P-value = 0.073

[R code: binom.test(453,800,p=0.54,alt="g")]

There is sufficient evidence to make the conclusion that the population proportion of college students who play intramural sports that receive a degree within six years is greater than 0.54.

[Since p-value < 0.1]

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