Question

Consider testing Upper H 0 : mu equals 20H0: μ=20 against Upper H Subscript a Baseline : mu less than 20Ha: μ<20 where μ

is the mean number of latex gloves used per week by all hospital​ employees, based on the summary statistics n=43​, x=19.3​, and s=11.1

Complete parts a and b.

a. Compute the​ p-value of the test.

b. Compare the​ p-value with α=0.05 and make the appropriate conclusion. Choose the correct answer below.

There is sufficient evidence to reject H0

There is insufficient evidence to reject H0

Answer 1

a) test statistic

                       

                        = -0.414

df = 43 - 1 = 42

p-value = P(t₄₂ < -0.414) = 0.3105

b) since p-value is not less than α, we should not reject H0

Option-B) There is insufficient evidence to reject H0