Question: APPLET Use the probability applet. The Probability applet simulates tossing a coin, with the advantage that you can choose the true long-term proportion, or probability,

APPLET Use the probability applet. The Probability applet simulates tossing a coin, with the advantage that you can choose the true long-term proportion, or probability, of a head. Example 3.33 discusses sampling from a population in which proportion p = 0.6 (the parameter) find shopping frustrating. Tossing a coin with probability p = 0.6 of a head simulates this situation: each head is a person who finds shopping frustrating, and each tail is a person who does not. Set the “Probability of heads” in the applet to 0.6 and the number of tosses to 25. This simulates an SRS of size 25 from this population. By alternating between “Toss” and

“Reset” you can take many samples quickly.

(a) Take 50 samples, recording the number of heads in each sample. Make a histogram of the 50 sample proportions (count of heads divided by 25). You are constructing the sampling distribution of this statistic.

(b) Another population contains only 20% who approve of legal gambling. Take 50 samples of size 25 from this population, record the number in each sample who approve, and make a histogram of the 50 sample proportions. How do the centers of your two histograms reflect the differing truths about the two populations?

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