Question

Suppose we’re conducting a t-test for a population mean with the following hypotheses. LaTeX: H_0 H 0 : LaTeX: \mu=50 μ = 50 LaTeX: H_a H a : LaTeX: \mu\\e50 μ ≠ 50 A sample of size 30 has a t-statistic of LaTeX: -2.43 − 2.43 . Find the corresponding P-value. Do not round.

Answer 1

Answer: 0.02055867

Explanation:

Given :
`H_0: \mu=50\\\\ H_a: \mu\\eq 50`, since the alternative hypothesis is two-tailed , so the test is a two tailed test.

Sample size : n= 30

Degree of freedom for t-distribution =
`df=n-1=30-1=29`

Test statistic= t= -2.43

By using the normal t-distribution table ( or calculator ) , we have

The corresponding P-value for two tailed test = 0.02055867