Question

Consider testing H0: μ=20 against Ha: μ<20 where μ is the mean number of latex gloves used per week by all hospital​ employees, based on the summary statistics n=45, overbarx=19.1, and s=11.8.

Complete parts a and b.

a. Compute the​ p-value of the test.

The​ p-value of the test is______-​(Round to four decimal places as​ needed.)

Answer 1

Solution :

Given that ,

= 19.1

= 20

s = 11.8

n = 45

Test statistic =t

= ( - ) / s / n

= (19.1 - 20) / 11.8 / 45

= -0.51

Test statistic = -0.51

This is the left tailed test .

degrees of freedom = n - 1 = 45 - 1 = 44

P-value = 0.3063