Section 1 Tennis players often spin a racquet to decide who serves first. Th e spun racquet...

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Section 1
Tennis players often spin a racquet to decide who serves first.Th e spun racquet can land with the manufacturerâ€™s label facing upor down. A reasonable question to investigate is whether a spuntennis racquet is equally likely to land with the label facing upor down. (If the spun racquet is equally likely to land with thelabel facing in either direction, we say that the spinning processis fair.) Suppose that you gather data by spinning your tennisracquet 100 times, each time recording whether it lands with thelabel facing up or down.
1.1.1
a. Describe the relevant long-run proportion of interest inwords.
b. What statistical term is given to the long-run proportion youdescribed in (a)?
c. What value does the chance model assert for the long-runproportion?
d. Suppose that the spun racquet lands with the label facing up48 times out of 100. Explain, as if to a friend who has not studiedstatistics, why this result does not constitute strong evidenceagainst believing that the spinning process is fair.
e. Is the result in (d) statistically significant evidence thatspinning is not fair or is it plausible that the spinning processis fair?

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Solution Part a The relevant longrun proportion of interest is the proportion of times the tennis racquet lands with the label facing up or down Answer 1 Part b Statistical term given to the longrun proportion described in a is Probability Answer 2 Part c The value the chance model asserts for the longrun proportion is 05 Answer 3 The chance model is If the spun racquet is equally likely to land with the label See Answer

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