Question

A sample of 14 from an approximately normal population is used to test H0: µ = 5 versus H1:  µ > 5.  If the p-value of this test is 0.0329, which of the following is the correct decision and conclusion at the α = 0.05 level?

a)Reject the null hypothesis concluding that there is no evidence the true mean is larger than 5.

b)Do not reject the null hypothesis concluding that there is evidence the true mean is larger than 5.

c)Reject the null hypothesis concluding that there is evidence that the true mean is larger than 5.

d)Do not reject the null hypothesis concluding that there is no evidence the true mean is larger than 5.

Answer 1

Solution :-

Given :-

H0: µ = 5

H1: µ > 5

Above test is right tailed test.

P -Value = 0.0329

alpha = 0.05.

if  P -Value < alpha -- Reject Null Hypothesis

Here,  P -Value ( 0.0329 ) < alpha (0.05 )

Reject Null Hypothesis

Ans --

c ) Reject The null Hypothesis concluding that there is evidence that the true mean is larger than 5

option ' c ' is correct.