According to a national survey, 60% of college students prefer watching sports t

Question

According to a national survey, 60% of college students prefer watching sports to watching movies. A survey was taken at UGA to test whether the proportion of UGA students who prefer watching sports is greater than the national value. The surveyors are testing the hypotheses:

Ho: p = 0.6
Ha: p > 0.6

70% of the UGA students in the sample preferred watching sports. The p-value for the test was 0.0206.

a) Write a conclusion for the test using alpha = 0.05. (Write 1-2 sentences please)

b) The p-value, 0.0206, is a probability. Explain what probability it represents. (Write 1-2 sentences please)

Explanation / Answer

a) Since p value is less than 0.05 , we reject the null hypothesis and conclude that roportion of UGA students who prefer watching sports is greater than the national value

b) p value mean probability of rejecting the hypothesis that proportion of UGA students who prefer watching sports is less than the national value when it is actually less than the national value

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