Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 11: 1.1 (page 681)

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: 12blue, 7orange,13green, 4yellow, 8red, and 2brown.

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

Short Answer

Expert verified

The null and alternative hypotheses are:

H0: All of the M&M distributions are correct

Ha: At least one of the M&M distribution are correct

Step by step solution

01

Given Information

The number of blue, orange, green, yellow, red and brown candies are 12,7,13,4,8 and 2 respectively. The proportions are 23%,15% and 12% respectively.

02

Explanation

A test's null hypothesis always predicts that there will be no effect or relationship between variables, whereas the alternative hypothesis outlines your study prediction of an effect or link.

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

Do men and women participate in sports for the same reasons? One goal for sports participants is social comparison—the desire to win or to do better than other people. Another is mastery—the desire to improve one’s skills or to try one’s best. A study on why students participate in sports collected data from independent random samples of 67male and 67female undergraduates at a large university. Each student was classified into one of four categories based on his or her responses to a questionnaire about sports goals. The four categories were high social comparison– high mastery (HSC-HM), high social comparison– low mastery (HSC-LM), low social comparison–high mastery (LSC-HM), and low social comparison–low mastery (LSC-LM). One purpose of the study was to compare the goals of male and female students. Here are the data displayed in a two-way table:

GoalFemaleMaleHSC-HM1431HSC-LM2118LSC-HM215LSC-LM2513

(a) Calculate the conditional distribution (in proportions) of the reported sports goals for each gender.

(b) Make an appropriate graph for comparing the conditional distributions in part (a).

(c) Write a few sentences comparing the distributions of sports goals for male and female undergraduates.

Why is it important to compare proportions rather than counts in Question 1?

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.

Calculate the expected count for each color, assuming that the company’s claim is true. Show your work.

Inference recap (8.1to11.2)In each of the following settings, say which inference procedure from Chapters 8,9,10,or11you would use. Be specific. For example, you might say “two-sample z test for the difference between two proportions.” You do not need to carry out any procedures.

(a) Is there a relationship between attendance at religious services and alcohol consumption? A random sample of 1000adults was asked whether they regularly attend religious services and whether they drink alcohol daily.

(b) Separate random samples of 75college students and 75 high school students were asked how much time, on average, they spend watching television each week. We want to estimate the difference in the average amount of TV watched by high school and college students.

The General Social Survey asked a random sample of adults their opinion about whether astrology is very scientific, sort of scientific, or not at all scientific. Here is a two-way table of counts for people in the sample who had three levels of higher education:

(a) Make a bar graph that compares opinions about astrology for the three education categories. Describe what you see.

(b) Minitab output for a chi-square test using these data is shown below. Carry out the test. What conclusion do you draw?
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

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.

Sign-up for free