T11.5. We compute the value of theχ2statistic to be 6.58. Assuming that the conditions for inference are met, the P-value of our test is

(a) greater than 0.20

(b) between 0.10and 0.20.

(c) between 0.05and 0.10.

(d) between0.01 and 0.05

(e) less than 0.01

Short Answer

Expert verified

(c) Between0.05and0.10

Step by step solution

01

Given Information

Need to find the p-value of our test.

02

Explanation 

Given:

χ2=6.58

The variable race contains 4categories: White, Black, Hispanic, and Other

The degrees of freedom is the number of categories decreased by 1:

localid="1650685456300" df=c-1=4-1=3

The P-value is the probability of obtaining the value of the test statistic, or a value more extreme. The P-value is the number (or interval) in the column title of the chi-square distribution table in the appendix containing the χ2-value in the row df=3:

0.05<P<0.10

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Perform a follow-up analysis of the test in Exercise 40 by finding the individual components of the chi-square statistic. Which cell(s) contributed most to the final result?

Which of the following explains why one of the conditions for performing the chi-square test is met in this case?

(a) The sample is large, 4877teenagers in all.

(b) The sample is random.

(c) All the observed counts are greater than 100.

(d) We used software to do the calculations.

(e) Both variables are categorical.

Mars, Inc., reports that their M&M’S Peanut Chocolate Candies are produced according to the following color distribution: 23% each of blue and orange, 15% each of green and yellow, and 12% each of red and brown. Joey bought a bag of Peanut Chocolate Candies and counted the colors of the candies in his sample: 12 blue, 7 orange, 13 green, 4 yellow, 8 red, and 2 brown

State appropriate hypotheses for testing the company’s claim about the color distribution of peanut M&M’S

Do students who read more books for pleasure tend to earn higher grades in English? The boxplots below show data from a simple random sample of 79students at a large high school. Students were classified as light readers if they read fewer than 3books for pleasure per year. Otherwise, they were classified as heavy readers. Each student's average English grade for the previous two marking periods was converted to a GPA scale where4.0=A,3.0=B and so on.

Reading and grades (1.3) Write a few sentences comparing the distributions of English grades for light and heavy readers.

Aspirin prevents blood from clotting and so helps prevent strokes. The Second European Stroke Prevention Study asked whether adding another anticlotting drug named dipyridamole would be more effective for patients who had already had a stroke. Here are the data on strokes during the two years of the study:

(a) Summarize these data in a two-way table.

(b) Make a graph to compare the rates of strokes for the four treatments. Describe what you see.

(c) Explain in words what the null hypothesis H0: p1 = p2 = p3 = p4 says about the incidence of strokes.

(d) Find the expected counts if H0 is true, and display them in a two-way table similar to the table of observed counts

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free