Question

# Find the appropriate P-value and test that the claim that proportions are not equal using a...

Find the appropriate P-value and test that the claim that proportions are not equal using a significance level of 0.05.

n1=200 n2=100

x1 = 11 x2 = 8

Hypothesis is,

H0: Proportions for both population are equal

Vs

H1: Proportions for both population are not equal

Proportions are,

p1=x1/n1=11/200=0.055

p2=x2/n2=8/100=0.08

Test statistic is,

Our claim is proportions are not equal. Hence test is two tailed.

P value=2*P(Z<test statistic) =2*P(Z<-0.8383) =0.4019

Given level of significance is 0.05

P value is greater than level of significance. Hence we accept null hypothesis. Hence our claim is not true.

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