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, x=19.3, and s=11.1

Complete parts a andb.

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 :

= 20

=19.3

S =11.1

n = 45

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :    = 20

Ha : < 20

Test statistic = t

= ( - ) / S / n

= (19.3 - 20) / 11.1 / 45

= −0.423

Test statistic = t =  −0.423

P-value =0.3372