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Make a decision about the given claim. Do not use any formal procedures and exac

ID: 2909966 • Letter: M

Question

Make a decision about the given claim. Do not use any formal procedures and exact calculations. Use only the rare event rule. ?Claim: A coin favors heads when? tossed, and there are 19 heads in 20 tosses. Which of the following is? correct? A. There is not sufficient evidence to support the claim because there are substantially more heads than tails. B. There does appear to be sufficient evidence to support the claim because there are not substantially more heads than tails. C. There does appear to be sufficient evidence to support the claim because there are substantially more heads than tails. D. There is not sufficient evidence to support the claim because there are not substantially more heads than tails

Explanation / Answer

Rare event rule

We make an assumption

--We find the Probability P(A).

--If that Probability is low, our assumption is wrong.

P(X = 19) = 20C19 * (1/2)^20

= 20/2^10

= 0.01953125

since this probability is less than 0.05

C. There does appear to be sufficient evidence to support the claim because there are substantially more heads than tails.

is correct

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