Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 11: Q. 58 (page 758)

For these data, χ2=69.8with a P-value of approximately 0. Assuming that the researchers used a significance level of 0.05, which of the following is true?

a. A Type I error is possible.

b. A Type II error is possible.

c. Both a Type I and a Type II error are possible.

d. There is no chance of making a Type I or Type II error because the P-value is approximately 0.

e. There is no chance of making a Type I or Type II error because the calculations are correct.

Short Answer

Expert verified

Option a) is correct that is Type I error is possible.

Step by step solution

01

Given Information

We have to identify correct answer for the given data, X2=69.8with a P− value of approximately 0. Assuming the researchers used a significance level of0.05 .

02

Simplification

When X2=69.8with a P value of nearly 0is presented as data, the correct answer is Type I mistake.
Assume that the researchers chose a 0.05significance threshold.

Thus, Option a) is correct.

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

A study conducted in Charlotte, North Carolina, tested the effectiveness of three police responses to spouse abuse: (1)advise and possibly separate the couple, (2)issue a citation to the offender, and (3)arrest the offender. Police officers were trained to recognize eligible cases. When presented with an eligible case, a police officer called the dispatcher, who would randomly assign one of the three available treatments to be administered. There were a total of 650cases in the study. Each case was classified according to whether the abuser was arrested within 6months of the original incident.

a. Explain the purpose of the random assignment in the design of this study.

b. State an appropriate pair of hypotheses for performing a chi-square test in this setting.

c. Assume that all the conditions for performing the test in part (b) are met. The test yields x2=5.063x2=5.063and aP-valueof0.0796. Interpret this P-value.

d. What conclusion should we draw from the study?

The nonprofit group Public Agenda conducted telephone

interviews with three randomly selected groups of parents of high school children. There

were 202 black parents, 202 Hispanic parents, and 201 white parents. One question asked,

“Are the high schools in your state doing an excellent, good, fair, or poor job, or don’t you

know enough to say?” Here are the survey results:

Do these data provide convincing evidence that the distributions of opinion about high

schools differ for the three populations of parents?

Seagulls by the seashore Do seagulls show a preference for where they land? To answer this question, biologists conducted a study in an enclosed outdoor space with a piece of shore whose area was made up of 56% sand, 29% mud, and 15% rocks. The biologists chose 200 seagulls at random. Each seagull was released into the outdoor space on its own and observed until it landed somewhere on the piece of shore. In all, 128 seagulls landed on the sand, 61 landed in the mud, and 11 landed on the rocks.

a. Do these data provide convincing evidence that seagulls show a preference for where they land?

b. Relative to the proportion of each ground type on the shore, which type of ground do the seagulls seem to prefer the most? The least?

Tuition bills A random sample of U.S. adults was recently asked, “Would you support or oppose major new spending by the federal government that would help undergraduates pay tuition at public colleges without needing loans?” The two-way table shows the responses, grouped by age.

Do these data provide convincing evidence of an association between age and opinion about loan-free tuition in the population of U.S. adults?

The manager of a high school cafeteria is planning to offer several new types of food for student lunches in the new school year. She wants to know if each type of food will be equally popular so she can start ordering supplies and making other plans. To find out, she selects a random sample of 100 students

and asks them, “Which type of food do you prefer: Ramen, tacos, pizza, or hamburgers?” Here are her data:

An appropriate null hypothesis to test whether the food choices are equally popular is

a. H0:μ=25where μ=the mean number of students that prefer each type of food.

b. H0:p=0.25where p = the proportion of all students who prefer ramen.

c. H0:nR=nT=nP=nH=25where nRis the number of students in the school who would choose ramen, and so on.

d.H0:pR=pT=pP=pH=0.25where pRis the proportion of students in the school who would choose ramen, and so on.

e. H0:pR=pT=pP=pH=0.25, where pRis the proportion of students in the sample who chose ramen, and so on.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

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