Question

A coin is tossed 400 times and it turns up head 216 times. the hypothesis that the coin is unbiased can be tested by

Answer 1

if the coin was biased then probability of coming heads would be 0 or equal to 1. but probability of heads is 216/400. hence the coin is unbiased

Answer 2

Answer:

A coin is tossed 400 times and it turns up head 216 times. the hypothesis that the coin is unbiased can be tested by

Step-by-step explanation:

Probability of getting a head = p = 0.5

q = 1-0.5 = 0.5

n = 400

Test statistic is z = [O-E] / SE

Observed number of heads = O = 216

Expected number of heads = E = np  = 400*0.5 = 200

Standard error of number of heads = SE = sqrt [npq]

= sqrt [400*0.5*0.5]

= 10

z = [216 - 200] / 10 = 1.60

Critical value of z at alpha = 0.05 is 1.96