A coin was flipped 16 times and came up heads 13 times, The assumption of normal

Question

A coin was flipped 16 times and came up heads 13 times, The assumption of normality is justified. No Yes Calculate a p-value for the observed sample outcome, using the normal distribution. (Round your z-value to 2 decimal places. Round your answer to 4 decimal places.) At the 0.05 level of significance in a right-tailed test, is the coin biased toward heads? No Yes Use Excel to calculate the binomial probability P(X greaterthanorequalto 13 | n = 16, pi = 0.50) = 1 - P(X lessthanorequalto 12 | n = 16, pi = 0.50). (Round your answer to 4 decimal places.) The normal probability is An approximation. The same as the binomial probability.

Explanation / Answer

here probability of head =0.5

hence np=16*0.5=8 and nq=8<=10

a) No

b)std deviation =(np(1-p))1/2 =2

P(X>=13) =1-P(X<13)=1-P(Z<(12.5-8)/2)=1-P(Z<2.25)=1-0.9878=0.0122

c)=1-binomdist(12,16,0.5,true)=1-0.9894=0.0106

d) an approximation

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