Question

1. Assume that a hypothesis test will be conducted with null hypothesis H₀: μ > 20.
Find the critical value for a sample with n = 15 and α = 0.05.

Group of answer choices

a. 2.145

b.-1.761

c. -1.753

2. The test statistic in a left-tailed test is z = -2.05.

Use this information to find the p-value.

Group of answer choices

a. 0.0202

b. 0.0453

c. 0.4798

0.5000

Answer 1

Solution :

1) This is the left tailed test,  

The null and alternative hypothesis is ,

H₀ :   > 20

H_a : < 20

degrees of freedom = n - 1 = 15 - 1 = 14

= 0.05

= P(t < t) = 0.05

= P(t < -1.761 ) = 0.95

t < - 1.761

correct option is = b

2) This is left tailed test,

z = -2.05

P( z < -2.05 )

P-value = 0.0202

correct option is = a