Question

Problem 6 A Gallup poll asked taxpayers nationwide how they would rate the job being done by the Internal Revenue Service (IRS). As a result, 6% responded excellent, 23% good, 29% fair, and 42% poor. The San Francisco Chronicle asked a random sample of California taxpayers the same question. As a result, 31 responded excellent, 86 good, 157 fair, and 238 poor. Use a Chi-Squared test to determine if the nationwide percentages obtained by the Gallup poll fit the IRS job rating distribution for this sample of California taxpayers. Based on this result, should the San Francisco Chronicle report that taxpayers in California have a similar or different opinion of the job being done by the IRS as compared to taxpayers nationwide?

          Problem 6
A Gallup poll asked taxpayers nationwide how they would rate the job being done by the Internal
Revenue Service (IRS). As a result, 6% responded excellent, 23% good, 29% fair, and 42% poor.
The San Francisco Chronicle asked a random sample of California taxpayers the same question.
As a result, 31 responded excellent, 86 good, 157 fair, and 238 poor.
Use a Chi-Squared test to determine if the nationwide percentages obtained by the Gallup poll fit
the IRS job rating distribution for this sample of California taxpayers. Based on this result, should
the San Francisco Chronicle report that taxpayers in California have a similar or different opinion
of the job being done by the IRS as compared to taxpayers nationwide?

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Problem 6
A Gallup poll asked taxpayers nationwide how they would rate the job being done by the Internal
Revenue Service (IRS). As a result, 6% responded excellent, 23% good, 29% fair, and 42% poor.
The San Francisco Chronicle asked a random sample of California taxpayers the same question.
As a result, 31 responded excellent, 86 good, 157 fair, and 238 poor.
Use a Chi-Squared test to determine if the nationwide percentages obtained by the Gallup poll fit
the IRS job rating distribution for this sample of California taxpayers. Based on this result, should
the San Francisco Chronicle report that taxpayers in California have a similar or different opinion
of the job being done by the IRS as compared to taxpayers nationwide?

Added by Francisco C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Jon Southam

06/05/2023

Step 1

Null hypothesis (H0): The nationwide percentages obtained by the Gallup poll fit the IRS job rating distribution for this sample of California taxpayers. Alternative hypothesis (Ha): The nationwide percentages obtained by the Gallup poll do not fit the IRS job Show more…

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Problem 6 A Gallup poll asked taxpayers nationwide how they would rate the job being done by the Internal Revenue Service IRS).As a result,6% responded excellent,23% good,29% fair,and 42% poor. As a result,31 responded excellent,86 good,157 fair,and 238 poor. Use a Chi-Squared test to determine if the nationwide percentages obtained by the Gallup poll fit the IRS job rating distribution for this sample of Califomia taxpayers. Based on this result,should the San Francisco Chronicle report that taxpayers in California have a similar or different opinion of the job being done by the IRS as compared to taxpayers nationwide?

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Transcript

00:01 So there was a gallup poll that asked two questions regarding income taxes.

00:05 Question a, the first one, says, do you regard the income tax which you have to pay this year as fair? and question b, do you consider the amount of income tax you have to pay as too high, about right, or too low? and of them, 42 % of the people in question a said the amount was fair or about right.

00:29 It says fair or about right.

00:34 Fair slash about right.

00:36 Whereas for question b, the other question had 41 % said fair or about right.

00:49 It said the same thing.

00:51 And we can see question a produced the higher percentage of people who said fair or about right as opposed to question b.

01:02 And why would that be the case? well look at how it's written.

01:06 Part a says, do you regard the income tax you have to pay this year as fair? do you think it's fair? whereas b, you're asked if it's too high, about right, or too low.

01:17 There's three different categories and one of them is too high.

01:20 Because a lot of times, as a taxpayer, a lot of times we think, boy taxes are pretty high.

01:24 And so if you give people the ability within your question to say too high, they might go for that as opposed to people who might say about right.

01:36 And a bit more appropriate term for our statistics here, we'd say b could be biased.

01:45 There's some bias here in terms of skewing it towards people being able to say too high.

01:51 So if we were to rebuild this study, what would make it more reliable? one, you could just ask one question...

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