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

0.0108

Step-by-step explanation:

Given :

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=

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