Question 834049: Suppose we want to test the claim that students at UF spend less than 6 hours per week on Facebook on average (null hypothesis: μ=6, alternative hypothesis: μ<6), and suppose that this test yielded a p-value of 0.03. Determine if each of the following statements is true or false.
(a) We can reject the null hypothesis at a=0.05, but not at a=0.01
(b) We reject the null hypothesis at a=0.10, but not at a=0.05
(c) 97% of students in the sample spend less than 6 hours/day on Facebook
(d) 97% of students in the population spend less than 6 hours/day on Facebook
(e) The probability of observing results as low as these (or lower) if the null hypothesis is true is 0.03
(f) The probability of observing results as low as these (or lower) if the alternative hypothesis is true is 0.03
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose we want to test the claim that students at UF spend less than 6 hours per week on Facebook on average (null hypothesis: μ=6, alternative hypothesis: μ<6), and suppose that this test yielded a p-value of 0.03. Determine if each of the following statements is true or false.
Ho: u >= 6 hrs
Ha: u < 6 hrs (claim)
p-value = P(Proportion of tested < 6 hrs) < 3%
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(a) We can reject the null hypothesis at a=0.05, but not at a=0.01:: true
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(b) We reject the null hypothesis at a=0.10, but not at a=0.05:: false
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(c) 97% of students in the sample spend less than 6 hours/day on Facebook:: true
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(d) 97% of students in the population spend less than 6 hours/day on book::false
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(e) The probability of observing results as low as these (or lower) if the null hypothesis is true is 0.03:: true
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(f) The probability of observing results as low as these (or lower) if the alternative hypothesis is true is 0.03:: false
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Cheers,
Stan H.
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