Question

In: Statistics and Probability

A 2010 poll asked people in the United States whether they were satisfied with their financial...

A

2010

poll asked people in the United States whether they were satisfied with their financial situation. A total of

338

out of

833

people said they were satisfied. The same question was asked in

2012

, and

304

out of

1156

people said they were satisfied.

Part 1 of 2

Your Answer is correct

(a) Construct a

99.8%

confidence interval for the difference between the proportions of adults who said they were satisfied in

2012

and

2010

. Let

p1

denote the proportion of adults who said they were satisfied in

2010

.Use tables to find the critical value and round the answer to at least three decimal places.

A

99.8%

confidence interval for the difference between the proportions of adults who said they were satisfied in

2012

and

2010

is  

<0.077<−p1p20.209.

Part: 1 / 2

1 of 2 Parts Complete

Part 2 of 2

(b) A sociologist claims that the proportion of people who are satisfied increased from  

2010

to  

2012

by more than

0.22

. Does the confidence interval contradict this claim?

Because the confidence interval  ▼(Choose one) values above

0.22

, it ▼(Choose one) the claim that the proportion of people who are satisfied increased from

2010

to

2012

by more than

0.22

.

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