Chapter 15, Problem 4RE

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A communications company has developed three new designs for a cell phone. To evaluate consumer response, a sample of 60 college students and 60 older adults is selected and each person is given all three phones to use for I week. At the end of the week, the participants must identify which of the three designs they prefer. The distribution of preference is as follows:

Design 1 | Design 2 | Design 3 | ||

Student | 27 | 20 | 13 | 60 |

Older Adult | 21 | 34 | 5 | 60 |

48 | 54 | 18 |

**a.**Do the data indicate that the distribution of preferences for older adults is significantly different from the distribution for college students’ Test with α = .05.**b.**Compute the phi-coefficient to measure the strength of the relationship.

**a.**

To determine

**To test:** Whether there is any significant difference between the distribution of preferences for older adults and thedistribution of preferences for college students.

Explanation

**Given info:**

A sample of 60 students and 60 adults is selected to identify the preference among the cellphone designs (3 designs) provided. Use

**Calculation:**

*The test hypotheses are given below:*

*Null Hypothesis*:

*Alternate Hypothesis:*

*Degrees of freedom:*

The degrees of freedom is,

Thus, the degree of freedom is 2.

*Critical value:*

From the chi-square tabulated values, the critical value that corresponds to

*Test statistic:*

The

The formula to calculate expected frequency is:

Substitute

For students, the expected frequencies are:

**b.**

To determine

**To Find:** The phi-coefficient to measure the strength of relationship.

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