/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q1BSC In Exercises 1鈥�4, use the foll... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Q1BSC (page 597)

In Exercises 1鈥�4, use the following sequence of political party affiliations of recent presidents of the United States, where R represents Republican and D represents Democrat.

R R RR D R D R RR D R RR D D R D D R R D R R D R D

Testing for Bias Can the runs test be used to show the proportion of Republicans is significantly greater than the proportion of Democrats?

Short Answer

Expert verified

The runs test cannot be used to test whether the two categories of political party affiliations occur equally proportionally in the given sequence.

Step by step solution

01

Given information

A sequence of presidents from two political parties is provided.

02

Runs test for randomness

The runs test for randomness is used to test whether the two categories occur randomly in the given sequence.

It cannot be used to test if one of the categories occur more frequently than the other.

Here, the sequence consists of two categories, Republican (R) and Democrat (D).

Thus, the runs test cannot be used to show if the proportion of Republicans is significantly greater than the proportion of Democrats and vice-versa.

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 91影视!

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

Odd and Even Digits in Pi A New York Times article about the calculation of decimal places of\(\pi \)noted that 鈥渕athematicians are pretty sure that the digits of\(\pi \)are indistinguishable from any random sequence.鈥� Given below are the first 25 decimal places of\(\pi \). Test for randomness in the way that odd (O) and even (E) digits occur in the sequence. Based on the result, does the statement from the New York Times appear to be accurate?

1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3

Test for Normality Use the departure delay times for Flight 19 and test for normality using a normal quantile plot.

Clinical Trials of Lipitor The sample data below are changes in LDL cholesterol levels in clinical trials of Lipitor (atorvastatin). It was claimed that Lipitor had an effect on LDL cholesterol. (The data are based on results given in a Parke-Davis memo from David G. Orloff, M.D., the medical team leader for clinical trials of Lipitor. Pfizer declined to provide the author with the original data values.) Negative values represent decreases in LDL cholesterol. Use a 0.05 significance level to test the claim that for those treated with 20 mg of Lipitor and those treated with 80 mg of Lipitor, changes in LDL cholesterol have the same median. What do the results suggest?

GroupTreatedwith20 mgofLipitor

-28

-32

-29

-39

-31

-35

-25

-36

-35

-26

-29

-34

-30


GroupTreatedwith80 mgofLipitor

-42

-41

-38

-42

-41

-41

-40

-44

-32

-37

-41

-37

-34

-31

Using Nonparametric Tests. In Exercises 1鈥�10, use a 0.05 significance level with the indicated test. If no particular test is specified, use the appropriate nonparametric test from this chapter.

World Series The last 110 baseball World Series ended with 63 wins by American League teams and 47 wins by National League teams. Use the sign test to test the claim that in each World Series, the American League team has a 0.5 probability of winning.

Wilcoxon Signed-Ranks Test for Body Temperatures The table below lists body temperatures of seven subjects at 8 AM and at 12 AM (from Data Set 3 鈥淏ody Temperatures in Appendix B). The data are matched pairs because each pair of temperatures is measured from the same person. Assume that we plan to use the Wilcoxon signed-ranks test to test the claim of no difference between body temperatures at 8 AM and 12 AM.

a. What requirements must be satisfied for this test?

b. Is there any requirement that the samples must be from populations having a normal distribution or any other specific distribution?

c. In what sense is this sign test a 鈥渄istribution-free test鈥�?
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

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.