Question

Do the following for the specified​ one-mean t-test. a. Use a​ t-table to estimate the​ P-value. b. Based on your estimate in part​ (a), state at which significance levels the null hypothesis can be​ rejected, at which significance levels it cannot be​ rejected, and at which significance levels it is not possible to decide. ​Right-tailed test, nequals25​, and tequals2.094 Click here to view page 1 of the t-table.LOADING... Click here to view page 2 of the t-table.LOADING... a. The​ P-value is between 0.025 and 0.05 . b. We can reject Upper H 0 for alpha less than or equals 0.05 ​, and we cannot reject Upper H 0 for alpha greater than or equals 0.10 alpha less than or equals 0.025 alpha greater than or equals 0.05 alpha less than or equals 0.05 alpha less than or equals 0.005 alpha greater than or equals 0.025 alpha greater than or equals 0.01 alpha greater than or equals 0.10 alpha less than or equals 0.01 . For significance levels 0.025 less than alpha less than 0.05 0.01 less than alpha less than 0.025 0.05 less than alpha less than 0.10 0.025 less than alpha less than 0.05 0.005 less than alpha less than 0.01 ​, the​ t-table is not sufficiently detailed in

to decide whether to reject Upper H 0.

Answer 1

Solution:

Given:

n = 25

Right-tailed test

t = 2.094

df = n - 1 = 25 - 1 = 24

Look in t table for df = 24 row and find an interval in which t = 2.094 fall

then find corresponding one tail area interval for p-value:

t = 2.094 fall between 2.064 and 2.492

corresponding one tal area is between ( 0.01 to 0.025)

Thus 0.01 < p-value < 0.025

The​ P-value is between  0.01 and 0.025

We can reject H0 for alpha greater than or equals 0.025

we cannot reject H0 for alpha less than or equals 0.01

For significance levels  0.01 < alpha < 0.025  the​ t-table is not sufficiently detailed in to decide whether to reject Upper H 0.