Question
1.) Kevin Durant of the Golden State Warriors hit 721 of his 1,383 field goal attempts in the 2018/2019 season for a shooting percentage of
1.) Kevin Durant of the Golden State Warriors hit 721 of his 1,383 field goal attempts in the 2018/2019 season for a shooting percentage of 52.1%. Over the lifetime of Kevin's career, can we say that Kevin is more likely than not to make a field goal?
a. Is the long-run proportion of Kevin making a field goal a parameter or a statistic?
b. Is 52.1% a parameter or a statistic?
c. When simulating possible outcomes assuming the chance model, how many times would you flip a coin for one repetition of the 2018/2019 season?
d. With each repetition, what would you keep track of?
e. What would be a typical value from a repetition of 1,383-coin flips?
2. ) If Kevin Durant of the Golden State Warriors hits 52 out of his first 100 field goals in the 2018/2019 season, let's see how we might investigate if he is more likely than not to make a field goal?
a. Based on these first 100 field goals; we want to find out what Kevin's long-run proportion of making a field goal is. Will this value be a statistic or a parameter?
b. Is 52 out of 100 a statistic or a parameter?
c. We can use the One Proportion applet to generate 1,000 possible values of Kevin's last 100 field goals under the chance model that he has a long-run proportion of 0.50 of making a field goal. Match the aspects of the simulation in Column A to their equivalent aspects in the actual study listed in Column B.
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