Question

For a test of Upper H 0​: pequals​0.50, the z test statistic equals 1.72. Use this information to complete parts ​(a) through ​(d) below.

a. Find the​ P-value for Upper H Subscript a​: pgreater than0.50. nothing ​(Round to three decimal places as​ needed.)

b. Find the​ P-value for Upper H Subscript a​: pnot equals0.50. nothing ​(Round to three decimal places as​ needed.)

c. Find the​ P-value for Upper H Subscript a​: pless than0.50. ​(Hint: The​ P-values for the two possible​ one-sided tests must sum to​ 1.) nothing ​(Round to three decimal places as​ needed.)

d. Do any of the​ P-values in ​(a)​, ​(b)​, or ​(c) give strong evidence against Upper H 0​?

A. At least one of the​ P-values gives strong evidence against Upper H 0. All of the​ P-values indicate that the null hypothesis is plausible. B. None of the​ P-values give strong evidence against Upper H 0. All of the​ P-values indicate that the null hypothesis is plausible. C. None of the​ P-values give strong evidence against Upper H 0. At least one of the​ P-values indicates that the null hypothesis is not plausible. D. At least one of the​ P-values gives strong evidence against Upper H 0. At least one of the​ P-values indicates that the null hypothesis is not plausible.

Answer 1

Answer)

We need to use standard normal z table to solve the problem

Given test statistics = 1.72

A)

P(z>1.72) = 0.0427

B)

P(z>1.72) = 0.0427

But our test is two tailed so, p-value = 2*0.0427 = 0.0854

C)

From z table, P(z<1.72) = 0.9573

D)

Evidence is against Ho

When p-value is less than given alpha

Or we can say that when p-value is small

P-value is small in only one case in part a but that too is not too small

Rest of them are large enough

So we can say that none of the p-values gives strong evidence agains Ho