Your friend Bob likes to gamble- and has a tendency to make incredible claims th

Question

Your friend Bob likes to gamble- and has a tendency to make incredible claims that lead you to suspect that he is either lying or cheating. This week, Bob is flipping a coin to see how many times he gets "Heads." He claims that the coin he is using is "fair"-meaning the probability of flipping "Heads' is 0.50. Using Excel's BINOM.DIST formula, you estimate the probability of flipping Heads exactly O through exactly 10 times For example, to calculate the probability of getting Heads exactly 2 times out of 10 flips you use the following formula: BINOM.DIST(2,10,0.5, FALSE), where "FALSE" indicates that you are not estimating the cumulative probability. Using this formula, you estimate that the probability of obtaining exactly 2 Heads when you flip a fair coin 10 times is 0.0439. You also graph the probability distribution of flipping Heads. 0205 0246302051 112 0 043 008 .0 Probability of Heads from Ten Coin Flips 03000 02500 0.2000 01500 0.1000 0.0500 Number of Heads

Explanation / Answer

Question 24

here P(X = 9 ; 10 ; 0.5) = 0.0098 ; P(X = 10 ; 10 ; 0.5) = 0.0010

P(X > = 9 ; 10 ; 0.5) = 0.0098 + 0.0010 = 0.0108

p - value = 0.0108 < 0.05 but 0.0108 > 0.01

so we will reject the null hypothesis at the level of 0.05. So option A is correct

Question 25

here P(X = 9 ; 10 ; 0.5) = 0.0098 ; P(X = 10 ; 10 ; 0.5) = 0.0010 ; P(X = 8 ; 10 ; 0.5) = 0.0439

P(X > = 9 ; 10 ; 0.5) = 0.0098 + 0.0010 + 0.0439 = 0.0547

p - value = 0.0547 > 0.05 but 0.0547 < 0.10and 0.0547 > 0.01

so we would accept the null hypothesis at the level of 0.05. Option C is correct here.

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