Login Registrieren

Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

The Practice of Statistics for AP Examination

Daren Starnes, Josh Tabor

$Math Studyset Vaia Explanations$ Math

6th Edition · 837 pages

ISBN: 9781319113339

Chapter 11: Q 3. (page 716)

P-values For each of the following, find the $P -$ value using Table $C$ Then
calculate a more precise value using technology.
a. $χ^{2} = 19.03, d f = 11$
b. $χ^{2} = 19.03, d f = 3$

Short Answer

Expert verified

Part (a) $P -$ value $= 0.0606$

Part (b) $P -$ value $= 0.0003$

Step by step solution

01

Part (a) Step 1: Given information

$χ^{2} = 19.03 d f = 11$

02

Part (a) Step 2: Calculation

Using excel formula,

$= C H I D I S T (19.03, 11)$

$P -$ value $= 0.0606$

03

Part (b) Step 1: Given information

$χ^{2} = 19.03 d f = 3$

04

Part (b) Step 2: Calculation

Using excel formula,

$= C H I D I S T (19.03, 3)$

$P -$ value $= 0.0003$

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.

Start your free trial

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

“Will changing the rating scale on a survey affect how people answer the question?” To find out, the group took an SRS of $50$ students from an alphabetical roster of the school’s just over $1000$ students. The first $22$ students chosen were asked to rate the cafeteria food on a scale of $1$ (terrible) to $5$ (excellent). The remaining $28$ students were asked to rate the cafeteria food on a scale of $0$ (terrible) to $4$ (excellent). Here are the data:

The students decided to compare the average ratings of the cafeteria food on the two scales.

a. Find the mean and standard deviation of the ratings for the students who were given the $1 t o 5$ scale.

b. For the students who were given the $0 t o 4$ scale, the ratings have a mean of $3.21$ and a standard deviation of $0.568$ . Since the scales differ by one point, the group decided to add $1$ to each of these ratings. What are the mean and standard deviation of the adjusted ratings?

c. Would it be appropriate to compare the means from parts (a) and (b) using a two-sample t test? Justify your answer

All current-carrying wires produce electromagnetic (EM) radiation, including the electrical wiring running into, through, and out of our homes. High-frequency EM radiation is thought to be a cause of cancer. The lower frequencies associated with household current are generally assumed to be harmless. To investigate the relationship between current configuration and type of cancer, researchers visited the addresses of a random sample of children who had died of some form of cancer (leukemia, lymphoma, or some other type) and classified the wiring configuration outside the dwelling as either a high-current configuration (HCC) or a low-current configuration (LCC). Here are the data:

Computer software was used to analyze the data. The output included the value $X^{2} = 0.435$

Which of the following is the appropriate degrees of freedom for the $X^{2}$ test?

a. $1$

b. $2$

c. $3$

d. $4$

e. $5$

Preventing strokes Refer to Exercise $38$ . Which treatment seems to be most effective? Least effective? Justify your choices.

Opinions about the death penaltyThe General Social Survey (GSS) asked separate random samples of people with only a high school degree and people with a bachelor’s degree, “Do you favor or oppose the death penalty for persons convicted of murder?” Of the $1379$ people with only a high school degree, $1010$ favored the death penalty, while $319$ of the $504$ people with a bachelor’s degree favored the death penalty. We can test the hypothesis of “no difference” in support for the death penalty among people in these educational categories in two ways: with a two-sample z test or with a chi-square test.

a. State appropriate hypotheses for a chi-square test.

b. Here is Minitab output for a chi-square test. Interpret the P-value. What conclusion would you draw?

c. Here is Minitab output for a two-sample z test. Explain how these results are consistent with the test in part (a).

Is your random number generator working? Use your calculator’s RandInt function to generate $200$ digits from $0$ to $9$ and store them in a list.

a. State appropriate hypotheses for a chi-square test for goodness of fit to determine whether your calculator’s random number generator gives each digit an equal chance of being generated.

b. Carry out a test at the $α = 0.05$ significance level. Hint: To obtain the observed

counts, make a histogram of the list containing the $200$ random digits, and use the trace feature to see how many of each digit were generated. You may have to adjust your window to go from $- 0.5 t o 9.5$ with an increment of $1$

c. Assuming that a student’s calculator is working properly, what is the probability that the student will make a Type I error in part (b)?

d. Suppose that $25$ students in an AP® Statistics class independently do this exercise for homework and that all of their calculators are working properly. Find the probability that at least one of them makes a Type I error.

See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

Logic and Functions

Read Explanation

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