Question

Assume that adults were randomly selected for a poll. They were asked if they? "favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human? embryos." Of those? polled,

485485

were in? favor,

396396

were? opposed, and

122122

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 toss. Exclude the

122122

subjects who said that they were? unsure, and use a

0.100.10

significance level to test the claim that the proportion of subjects who respond in favor is equal to

0.50.5.

What does the result suggest about the? politician's claim?

Identify the null and alternative hypotheses for this test. Choose the correct answer below.

A.

Upper H 0H0?:

pequals=0.50.5

Upper H 1H1?:

pless than<0.50.5

B.

Upper H 0H0?:

pnot equals?0.50.5

Upper H 1H1?:

pequals=0.50.5

C.

Upper H 0H0?:

pequals=0.50.5

Upper H 1H1?:

pgreater than>0.50.5

D.

Upper H 0H0?:

pequals=0.50.5

Upper H 1H1?:

pnot equals?0.50.5

Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is

nothing.

?(Round to two decimal places as? needed.)

Identify the? P-value for this hypothesis test.

The? P-value for this hypothesis test is

nothing.

?(Round to three decimal places as? needed.)

Identify the conclusion for this hypothesis test.

A.

Fail to rejectFail to reject

Upper H 0H0.

There

isis

sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss.

B.

Fail to rejectFail to reject

Upper H 0H0.

There

is notis not

sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss.

C.

RejectReject

Upper H 0H0.

There

is notis not

sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss.

D.

RejectReject

Upper H 0H0.

There

isis

sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss.

What does the result suggest about the? politician's claim?

A.

The result suggests that the politician is doing his best to accurately portray the feelings of the people.

B.

The result suggests that the politician is correct in claiming that the responses are random guesses equivalent to a coin toss.

C.

The result suggests that the politician is wrong in claiming that the responses are random guesses equivalent to a coin toss.

D.

The results are inconclusive about whether the politician is correct or not.

Click to select your answer(s).

Answer 1

n= 485

x= 396

p= x/n= 396/485= 0.816495

One proportion Z test:

The test statistic:

P-value: 0.000

Reject H0.

There is sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss.

The politician claim: The politician claim as equal to coin toss is significant and rejected the test statistic.

The result suggests that the politician is wrong in claiming that the responses are random guesses equivalent to a coin toss.