Question

Assume that the significance level is alpha equals ?=0.01. Use the given information to find the? P-value and the critical? value(s).
The test statistic of z equals=1.63 is obtained when testing the claim that p greater than p>0.9.

Answer 1

At 99.99 level of confidence (which is same as alpha being 0.01),

The critical value of Z, Zc = 2.58

We have the test statistic equal to 1.63

P-value = P(Z>1.63) + P(Z<-1.63) = 2*P(Z<-1.63) = 2*0.0516 = 0.1032

Claim: H0 : p<=0.9 and Ha: p>0.9

As the P-value is greater than alpha we cannot reject the null hypothesis

So, the claim that p>0.9 cannot be true

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