Question

The following hypotheses were tested

H0: population mean= 0

Ha: population mean > 0

And a P value of 0.023 is obtained. What can be concluded?

a. the chance that the alternative hypothesis is true is 0.023

b. the chance that the null hypothesis is true is 0.023

c. the chance of obtaining a value of the test statistic as or more extreme than the value actually obtained if the null is true is 0.023

d. the chance of obtaining a value of the test statistic that is >0 is only 0.023 if the null is true

e. the chance that the null hypothesis is true is 0.977

Which of the following statements would provide strong evidence against the null hypothesis?

a. a very large p value

b. a very small p value

c. a large sample size

d. a small sample size

e. a negative value for the z test

Answer 1

Solution:

Given ,

The null and alternative hypothesis are respectivelly ,

H0: population mean= 0

Ha: population mean > 0

P value of this test is 0.023

What can be concluded?

the chance of obtaining a value of the test statistic as or more extreme than the value actually obtained if the null is true is 0.023

Option c is correct.

Which of the following statements would provide strong evidence against the null hypothesis?

a very small p value

Option b is correct.

{When p value is less than the significance level , we reject the null hypothesis. , otherwise we fail to reject the null hypothesis}