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Question 21 (1 point) A random sample of students enrolled in a statistics cours

ID: 2948722 • Letter: Q

Question

Question 21 (1 point) A random sample of students enrolled in a statistics course were asked which of three lifetime achievements they would most like to win: a Nobel Prize, an Academy Award, or an Olympic Gold Medal The sample results were that 17 students chose the Nobel Prize, 10 chose the Academy Award, and 18 chose the Olympic Gold Medal. Conduct a chi-square goodness-of-fit test of whether these sample data provide evidence to believe that the three choices are not equally likely in the population. Determine the expected counts for each category. Nobel Prize Academy Award Olympic Gold

Explanation / Answer

Ans:

Total number of observations=17+10+18=45

As,we want to determine that the three choices are equally likely or not,so expected counts for each category will be equal to 45/3=15

Nobel Prize=45/3=15

Academy Award=45/3=15

Olympic Gold=45/3=15

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