A better way to generate a sampling distribution. You can use the

Chapter 0, Problem 11.44

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A better way to generate a sampling distribution. You can use the ProbabilityAPPLETapplet to speed up and improve Exercise 11.43. You have a population in which60% of the individuals approve of legal gambling. You want to take many samplesfrom this population to observe how the sample proportion who approve ofgambling varies from sample to sample. Set the Probability of heads in theapplet to 0.6 and the number of tosses to 40. This simulates an SRS of size 40from a large population. Each head in the sample is a person who approves oflegal gambling and each tail is a person who disapproves. By alternating betweenToss and Reset you can take many samples quickly.(a) Take 50 samples, recording the proportion who approve of gambling in eachsample. (The applet gives this proportion at the top left of its display.) Make ahistogram of the 50 sample proportions.(b) Another population contains only 20% who approve of legal gambling. Take50 samples of size 40 from this population, record the number in each sample whoapprove, and make a histogram of the 50 sample proportions. How do the centersof your two histograms reflect the differing truths about the two populations?

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