Question

One month before an​ election, a poll of

670

randomly selected voters showed

58%

planning to vote for a certain candidate. A week later it became known that

he

had

been nbspbeen a nbspa juvenile delinquentjuvenile delinquent​,

and a new poll showed only

57%

of

1080

voters supporting

him.him.

Do these results indicate a decrease in voter support for

hishis

​candidacy?

​a) Test an appropriate hypothesis and state your conclusion.

​b) If you concluded there was a​ difference, estimate that difference with a

95%

confidence interval and interpret your interval in context.

What is the result of this hypothesis test with a level of significance of

0.05​?

A.

Do not rejectDo not reject

the null hypothesis because there

is notis not

sufficient evidence to support the claim that voter support for the candidate has declined.This is the correct answer.

B.

RejectReject

the null hypothesis because there

is notis not

sufficient evidence to support the claim that voter support for the candidate has declined.

C.

RejectReject

the null hypothesis because there

isis

sufficient evidence to support the claim that voter support for the candidate has declined.Your answer is not correct.

D.

Do not rejectDo not reject

the null hypothesis because there

isis

sufficient evidence to support the claim that voter support for the candidate has declined.

​b) If you concluded there was a​ difference, estimate that​ difference,

p1minus−p2​,

with a

95​%

confidence interval. Select the correct answer below​ and, if​ necessary, fill in the answer boxes within your choice.

A.The confidence interval is

left parenthesis nothing comma nothing right parenthesisnothing,nothing.

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

Your answer is not correct.

B.

These data do not show evidence of a decrease in the voter support for the candidate.

This is the correct answer.

Interpret your​ interval, if any was created. Select the correct answer below​ and, if​ necessary, fill in the answer boxes within your choice.

A.There is

95​%

confidence that the proportion of voters who support the candidate is between

nothing​%

and

nothing​%

less in the new poll.

​(Round to one decimal place as​ needed.)

B.There is

95​%

confidence that the proportion of voters who support the candidate is between

() ()

more in the new poll.

​(Round to one decimal place as​ needed.)

C.

These data do not show evidence of a decrease in the voter support for the candidate.

Answer 1

(a)

Correct option:

A. Do not reject. the null hypothesis because there is not sufficient evidence to support the claim that voter support for the candidate has declined.

b)