In: Statistics and Probability
Assume that you plan to use a significance level of α = 0.05 to test 5)
the claim that p1 = p2. Use the given sample sizes and numbers of
successes to find the P-value for the hypothesis test, and make
a conclusion addressed to the claim.
n1=100 n2=100
x1 = 38 x2 = 40
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We will use 2 sample proportion test :
Below is the minitab output. :
P value = 2 * P(T.S < -0.28995)
From z table, P (T.S.< - 0.028995) = 0.385927
Thus P value = 2 * (0.385927) = 0.778154
Since p value is > 0.05, we fail to reject Null hypothesis and conclude that data is not providing sufficient evidence to say that both the population proportions are different.