Question

Use the given information to find the ​p-value. ​Also, use a 0.05 significance level and state the conclusion about the null hypothesis​ (reject the null hypothesis or fail to reject the null​ hypothesis). With H1​: p> ​0.554, the test statistic is z=1.34.

Answer 1

Answer:

The p-value for one tailed test is calculated as below:

P-value = P( Z > z ) { P-value = P( |Z| > z ) for two tailed test }

P-value = P( Z > 1.34 )

P-value = 1 - P( Z <= 1.34 ) ... due to symmetry of normal distribution

P( Z <= 1.34 ) can be obtained from normal distribution table.

P(Z <= 1.34) = 0.9099 ... from table

Now,

P-value = 1 - 0.9099

P-value = 0.0901

Conclusion:

We know that if P-value < level of significance, then we reject H0. But here P-value = 0.0901 > 0.05 ( significance level) , we fail to reject H0.

Hence we conclude that we fail to reject the null​ hypothesis