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. Longest Streak in Simulated Game 8 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. 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. 38 40 42 44 46 48 50 52 54 56 58 60 62 Simulated proportion who say "Yes", as a percent 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.