Question

john and jack found a coin on the sidewalk. they argued about whether the coin is fair. john claimed a 40% chance for the coin to land on heads based on his careful observation of the coin. jack believed the chance would be lower. to support his claim jack tossed the coin 50 times and the observed sample is given below with 1 representing heads and 0 tails:

Answer 1

Since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.

Therefore we reject John's claim.

Here:

we can use 1 sample proportion test to check the claim of John

H₀ : p₀ = 0.4

H₁ : p₀ ≠ 0.4

Test statistic is

z = p - p₀/√p₀(1-p₀)n

Let X be the random variable denoting the number of heads.

Now p = X/n

= 8/50

= 0.16

p₀ = 0.4

1-p₀ = 1-0.4

= 0.6

z = -3.464

since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.

Therefore we reject John's claim.

Learn more about Null hypothesis here:

brainly.com/question/15980493

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