A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test thisclaim, he selects random cities in the state that voted the senator in and compares the approval ratings before the decisionto the approval ratings after the decision. If we let d approval rating after - approval rating before, based on thedata below, what are the test statistic and degrees of freedom of an appropriate hypothesis test? Assume that the approvalratings are normally distributed. Round the test statistic to three decimal places.Approval Rating Before(percent)Approval Rating After(percent)56.258.954.752.152.149.650.249.354.154.350.748.661.254.746.149.6Provide your answer below:,df =

Question
Asked Oct 8, 2019
59 views

A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state that voted the senator in and compares the approval ratings before the decision to the approval ratings after the decision. If we let d=approval rating after−approval rating before, based on the data below, what are the test statistic and degrees of freedom of an appropriate hypothesis test? Assume that the approval ratings are normally distributed. Round the test statistic to three decimal places.

Approval Rating Before (percent)

Approval Rating After (percent)

58.9

56.2

54.7

52.1

52.1

49.6

50.2

49.3

54.3

54.1

50.7

48.6

61.2

54.7

49.6

46.1

Provide your answer below:

 
t=    , df=
A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this
claim, he selects random cities in the state that voted the senator in and compares the approval ratings before the decision
to the approval ratings after the decision. If we let d approval rating after - approval rating before, based on the
data below, what are the test statistic and degrees of freedom of an appropriate hypothesis test? Assume that the approval
ratings are normally distributed. Round the test statistic to three decimal places.
Approval Rating Before
(percent)
Approval Rating After
(percent)
56.2
58.9
54.7
52.1
52.1
49.6
50.2
49.3
54.1
54.3
50.7
48.6
61.2
54.7
46.1
49.6
Provide your answer below:
,df =
help_outline

Image Transcriptionclose

A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state that voted the senator in and compares the approval ratings before the decision to the approval ratings after the decision. If we let d approval rating after - approval rating before, based on the data below, what are the test statistic and degrees of freedom of an appropriate hypothesis test? Assume that the approval ratings are normally distributed. Round the test statistic to three decimal places. Approval Rating Before (percent) Approval Rating After (percent) 56.2 58.9 54.7 52.1 52.1 49.6 50.2 49.3 54.1 54.3 50.7 48.6 61.2 54.7 46.1 49.6 Provide your answer below: ,df =

fullscreen
check_circle

Expert Answer

star
star
star
star
star
1 Rating
Step 1

Paired t-test:

To test whether senator’s recent decision support a bill resulted in a drop of approval ratings, the test statistic is given by,

help_outline

Image Transcriptionclose

(ΣD) N t = ΣDΙΣ) (N-1) (N) N where, D Approval rating after - Approval rating before

fullscreen
Step 2

Computation of test statistic t:

Step-by-step procedure to perform paired t-test using EXCEL:

  • Go to Data > Data Analysis.
  • In Analysis Tool, choose t-Test: Paired Two Sampl...
help_outline

Image Transcriptionclose

t-Test: Paired Two Sample for Means Variable 1 Variable 2 Mean 51.3375 53.9625 Variance 12.17982143 17.81696 Observations 8 8 Pearson Correlation 0.897234855 Hypothesized Mean Difference df 7 t Stat -3.933857599 P(T<=t) one-tail 0.002823828 t Critical one-tail 1.894578605 P(T<=t) two-tail 0.005647656 Critical two-tail 2.364624252

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: The mean serum cholesterol level of a large population of overwieght children is 220 milligrams per ...

A: From the given information, let us define the random variable X follows normal distribution with a m...

question_answer

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally...

A: Finding the value of z at lowest 14-1.08032 ( From Excel =NORM.S.INV(0.14))Finding the value of z at...

question_answer

Q: Suppose you want to test H0: m £ 100 against H1: m &gt; 100 using a significance level of 0.05. The ...

A: We can answer only 1 question as per company guidelines. Since you have posted multiple questions, I...

question_answer

Q: Suppose that you are a city planner who obtains and sample of 20 randomly selected members of a mid-...

A: Since the population standard deviation is unknown, student’s t test can be used here. Here, the lev...

question_answer

Q: identifying probability distribution 0 0.031 1 0.156 2 0.313 3 0.313 4 0.156 5 0.031

A: Consider, X be the random variable that can take the values 0, 1, 2, 3, 4, 5 corresponding to the pr...

question_answer

Q: From the following data, calculate the z-score.                          N         =          100 Sa...

A: It is given that the sample mean, x-bar is 15, sample size, n is 100, population mean (mu) is 22, an...

question_answer

Q: A sample of size n=49 is drawn from a popular whose standard deviation is q=4.8. a. Find the margin ...

A: Introduction:The 100 (1 – α) % confidence interval for the population mean, μ, for given population ...

question_answer

Q: The average weekly unemployment benefit in Montana is $272. Suppose that the benifits are normally d...

A: If the true population distribution of a random variable, say, x, is normal with parameters, mean μ ...

question_answer

Q: What is the definition of continuous data?

A: It is given that the data is continuous.