Question

Suppose that we test the hypotheses LaTeX: H_0 H 0 : LaTeX: \mu=50 μ = 50 LaTeX: H_a H a : LaTeX: \mu>50 μ > 50 Further suppose that a sample of size 30 has a t-statistic of 2.43. Find the corresponding P-value. (See if you can figure this out without using the applet. Give it a try!) 0.0108 0.0216 0.9892

Answer 1

Answer: 0.0108

Explanation:

Given :
`H_0:\mu=50\\\\H_a:\mu>50`

Since the alternative hypotheses is right-tailed, so the test is a right-tailed test.

Sample size : n=30

The degree of freedom for t-distribution=
`=n-130-1=29`

The by using the normal t-distribution table , we have

The P-value corresponds to t-statistic vale 2.43 and degree of freedom 29 , is 0.01075997 i.e. approximately 0.0108