BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

A developmental psychologist would like to determine whether infant , display any color preferences. A stimulus consisting of four color patches (red. green, blue, and yellow) is projected onto the ceiling above a crib. Infants are placed in the crib, one at a time, and the psychologist records how much time each infant spends looking at each of the four colors. The color that receives the most attention during a 100-second test period n identified as the preferred color for that infant. The preferred colors for a sample of 60 infants are shown in the following table:

Red Green Blue Yellow
20 12 18 10
  • a. Do the data indicate any significant preferences among the four colors? Test at the .05 level of significance.
  • b. Write a sentence demonstrating how the outcome of the hypothesis test would appear in a research report.

a.

To determine

To Find: Is their significant preferencesamong the four colors at α=0.05

Explanation

Given info:

The data represents the colour preference for a sample of 60 infants and the level of significance is α=0.05.

Calculations:

The test hypotheses are given below:

Null Hypothesis:

H0: There is no significant preference for the four colours.

Alternate Hypothesis:

H1: There is a significant preference for the four colours.

Degrees of freedom:

The degrees of freedom is,

df=(C1)   where C equals number of categories=41=3

Thus, the degree of freedom is 3.

Critical value:

From the Chi-square tabulated value the critical value that corresponds to α=0.05 and df=3 is 7.815.

Test statistic:

The χ2statistics is,

χ2=(fofe)2fe

Hypothetically, the proportion of each colour should be 0.25 each.

The formula to calculate expected frequency is:

fe=p×n

Substituting respective values of proportion and n=80 in the above formula:

fe,red=0.20×60=12fe,blue=0

b.

To determine

To explain: The outcome of hypothesis in correspondence to the report.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

If sinx=13 and secy=54, where x and y lie between 0 and /2, evaluate sin(x + y).

Single Variable Calculus: Early Transcendentals, Volume I

Find all possible real solutions of each equation in Exercises 3144. x31=0

Finite Mathematics and Applied Calculus (MindTap Course List)

In how many ways can six different DVDs be arranged on a shelf?

Finite Mathematics for the Managerial, Life, and Social Sciences

Find the derivative of the function. f(x)=5x+1

Single Variable Calculus: Early Transcendentals

Solving Equations Find all real solutions of the equation. 56. 8 2x = 14 + x

Precalculus: Mathematics for Calculus (Standalone Book)

Use the rules for exponents to simplify: (2x2)5

Elementary Technical Mathematics

In Exercises 914, evaluate the expression. 9. (94)3/2

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

For

Study Guide for Stewart's Multivariable Calculus, 8th

If the interval [1, 3] is divided into n subintervals of length x, then the shaded area at the right is a) limn...

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th