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# Chi-squre Test: Gender Distribution & Design of Cell Phones

Chapter 18:
The Chi square statistics test:

2-The student population at the state college consists of 55% female and 45% males.

a- The college theater department recently staged a production of a modern musical. A researcher recorded the gender of each student entering the theater and found a total of 385 females and 215 males. Is the gender distribution for theater goers significantly different from the distribution for the general college? Test at the .05 level of significance.

b-The same researcher also recorded the gender of each student watching a men's basketball game in the college gym and found a total of 83 females and 97. Is the gender distribution for basketball fans significantly different from the distribution for the general college? Test at the .05 level of significance.

12- A communication company has developed three new designs for a cell phone. To evaluate consumer response, a sample of 120 college students is selected and each student is given all three phones to use for 1 week. At the end of the week, the student must identify which of the three designs they prefer. The distribution of preference is as follows:

Design 1 Design 2 Design 3
54 38 28

Do the results indicate any significant preferences among the three designs?

20- Gender differences in dream content are well documented. Suppose a researcher studies aggression content in the dream of men and women. Each participant reports his or her most recent dreams. Then each dream is judged by a panel of experts to have low, medium, or high aggression content. The observed frequencies are showing in the following matrix:

Aggression Content
Low Medium High
Gender Female 18 4 2
Male 4 17 15

Is there a relationship between gender and the aggression content of dreams? Test with = .01.

#### Solution Summary

The solution provides step by step method for the calculation of chi square test for association. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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