A coin is flipped 80 times, and this results in 36 “Heads”. Set up a test...

A coin is flipped 80 times, and this results in 36 “Heads”. Set up a test to determine whether the coin is fair

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Expert Solution

Proportion = 0.50

Total number of sample (n) = 80

number of favourable events (X) = 36

We are interested in testing the hypothesis

Since P-value of a two tailed test is equal to 2(\phi(-|Z_0|))

P = 2(0.18555395623998766)

P = 0.3711

Decision Rule: Reject the null hypothesis if the test statistic value is less than the critical value -1.959963984540054 or greater than the critical value 1.959963984540054

The statistic value, -0.8944 is between the critical values -1.959963984540054 and 1.959963984540054. Therefore, we fail to reject the null hypothesis.

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orchestra answered 1 year ago

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