4. An instructor asked the 65 tudents in his introductory psychology course whet

Question

4. An instructor asked the 65 tudents in his introductory psychology course whether they He wants to test if apple juice tends to his introduc prefer apple juice, orange juice, or pineapple juice. more preferred than both orange juice and pineapple juice saw that 38 preferred apple juice. (a) What is the parameter of interest? A. Th B. Che 38 psychology students who preferred apple juice. Proportion of the 65 psychology students in the sample who prefer apple juice. The true proportion of all MSU students who prefer apple juice. e true proportion of introductory psychology students that prefer apple juice to orange juice or pineapple juice. D. (b) [4 pts] State the null and alternative hypotheses in words Ho: Ha: lue of the observed statistic? What is the appropriate notation for pts] What is the va this value? (o) [4 you could use a spinner or cards to simulate one of the samples in (d) 13 pts] Explain how the above simulation

Explanation / Answer

4. a) A -> The paramter of interest from this sample is the true proportion of the people who prefer apple juice to orange juice and pineapple juice

b) H0 : Proportion of people who prefer apple juice is equal to the proportion of people who prefer orange or pineapple juice

Ha : Proportion of people who prefer apple juice is greater than the proportion of people who prefer orange or pineapple juice

c) Value of observer statistic is 38/65, notation of this value is in decimals = 0.585

d) We can simulate the example using cards as representing the proportion of people who prefer apple juice and black cards being proportion of people who prefer orange or pineapple juice.

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