Shortly after the introduction of a new coin, newspapers published articles clai

Question

Shortly after the introduction of a new coin, newspapers published articles claiming the coin is biased. The stories were based on reports that someone had spun the coin 150 times and gotten 84 headsminusthat's 56% heads. a right parenthesis font size decreased by 1 a) Use the Normal model to approximate the Binomial to determine the probability of spinning a fair coin 150 times and getting at least 84 heads. b right parenthesis font size decreased by 1 b) Do you think this is evidence that spinning this new coin is unfair? Would you be willing to use it at the beginning of a sports event? The probability of spinning at least 84 heads is ?Round to four decimal places as needed

Explanation / Answer

a)
xbar = 84
mean = 0.5*150 = 75
std.dev. = sqrt(150*0.5*0.5) = 6.1237

P(X > 84) = P(z > (84 - 75)/6.1237) = P(z > 1.4697) = 0.0708

b)
If we consider the significance level of 0.05, the above p-value is greater than 0.05.
This suggests, there are not significant evidence to conclude that this coin is unfair.

This coin can be used at the begining of any sport event.

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