Adults randomly selected for a poll were asked if they "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos." Of the subjects surveyed,

458

were in favor,

449

were opposed, and

132

were unsure. A politician claims that people don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin flip. Use a

0.05

significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5. What does the result suggest about the politician's claim?

Find the null and alternative hypotheses.

A.

H0:

p0.5

H1:

p=0.5

B.

H0:

p=0.5

H1:

p<0.5

C.

H0:

p=0.5

H1:

p>0.5

D.

H0:

p=0.5

H1:

p0.5

Find the test statistic.

z=enter your response here

(Round to three decimal places as needed.)

Find the critical value(s).

z=enter your response here

(Use a comma to separate answers as needed. Round to

two

decimal places as needed.)

State the conclusion.

Reject

Fail to reject

H0.

There

is not

is

sufficient evidence to reject the claim that the proportion of subjects who responded in favor is equal to 0.5. The politician's claim

does not appear

appears

to have merit.