Question

The following TI-84 Plus display presents the results of a hypothesis test

Prop < .2

z= -2.25

p=.0122244334

p̂ = .125

n=144

a. Is this a test for a mean or a proportion?

b. What are the null and alternate hypotheses?

c. What is the value of the test statistic?

d. What is the P-value?

e. Do you reject H0 at the α = 0.05 level? Explain.

f. Do you reject H0 at the α = 0.01 level? Explain.

Answer 1

Solution:-

From the given information,

a) test for a proportion

b)Null and Alternative hypothesis is,

H​​​​​​0:p=0.2

H​​​​​​A:p<0.2

c)test statistic is,

z=-2.25

d) p-value=0.0122244334

e)At the

P-value<

Reject H0 at the level.

f) At the

P-value>

Do not reject H0 at the