   Chapter 15, Problem 3P Essentials of Statistics for the B...

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

Solutions

Chapter
Section Essentials of Statistics for the B...

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

In Chapter 9 (p. 257), we described a study showing that newborn infants spend more time looking at attractive faces when they are shown together with less attractive faces (Slater, et al., 1998). In the study, a pair of faces is shown on a screen and the researchers record the amount of time the baby spends looking at each face. In a sample of n = 40 infants, suppose that 26 spent the majority of their time looking at the more attractive face and only 14 spent the majority of time looking at the unattractive face. Is this result significantly different from what would be expected if there were no preference between the two faces? Test with α = .05.

To determine

Whether that result significantly different from and expectation if there were no preference between the two faces.

Explanation

Given info:

One survey was done on new born babies. How long they spent time for looking attractive and non-attractive people. Sample of n=40 and α=0.05

Calculation:

Given n=40,α=0.05

Step 1:

Null hypothesisH0: In the given population preference is taken on the faces.

 Attractive faces Unattractive faces 50% 50%

Alternative hypothesis H1: In the given population preference is taken on the faces

Step 2: Use α=0.05

For critical region the value of freedom is

df=C1=21=1

Where C = category

As df=1 and α=0.05 from the table of critical values of chi-square.

Critical value of χ2 is 3.84

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