5 A basketball announcer suggests that a certain player is streaky That is the announcer believes that if the player makes a

Question

5 A basketball announcer suggests that a certain player is streaky That is the announcer believes that if the player makes a shot the player is more likely to make the next shot As evidence the announcer points to a recent game where the player took 30 shots and had a streak of 10 made shots in a row Is this convincing evidence of streaky shooting by the player Assume that this player makes 50 of the shots and that the results of a shot do not depend on previous shots a Describe how you would carry out a simulation to estimate the probability that a 50 shooter who takes 30 shots in a game would have a streak of 10 or more made shots Do not perform the simulation b The dotplot displays the results of 50 simulated games in which this player took 30 shots What conclusion would you draw about whether this player was streaky Explain uh Longest Streak in Simulated Game 10 6 A statistics class asked an SRS of 100 students at their school whether they regularly recycle or not In the sample 55 students said that they recycle Is this convincing evidence that more than half of the students at the school would say they regularly recycle The dotplot shows the results of taking 200 SRSS of 100 students from a population in which the true proportion who recycle is 0 50 38 40 42 44 46 45 50 52 54 56 58 Simulated proportion who say Yes as a percent a Explain why the sample result 55 out of 100 said Yes does not give convincing evidence that more than half of the school s students recycle b Suppose instead that 63 students in the class s sample had said Yes Explain why this result would give convincing evidence that a majority of the school s students recycle

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