Assignment:
The Chi square statistics test:
Q1-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.
Q2- 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?
Q3- 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 a= .01.