Aplia: The Chi-Square Statistic
SPSS: For all questions, include relevant SPSS output. State whether your decision is to reject or retain the null hypothesis and why. Provide an separate APA style summary for each question.Be sure to read all parts of all questions carefully!
The student population at the state college consists of 55% women and 45% men.
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 women and 215 men. Is the gender distribution for theatergoers significantly different from the distribution for the general college? Test at α =.05.
b) The same researcher also recorded the gender of each student watching a men's basketball game and found 83 women and 97 men. Is the gender distribution for basketball fans significantly different from the distribution for the general college? Test at α =.05.
c) A professor in the psychology department would like to determine whether there has been a significant change in grading practices over the years. It is known that the overall grade distribution for the department in 1985 had 14% As, 26% Bs, 31% Cs, 19% Ds, and 10% Fs. A sample of n=200 psychology students from last semester produced the following grade distribution:
Do the data indicate a significant change in the grade distribution? Test at α = .05.
d) Be sure to attend to alpha level. Gender differences in dream content are will documented (see Winget& Kramer, 1979). Suppose a researcher studies aggression content in the dreams of men and women. Each participant reports his or her most recent dream. Then,a panel of experts judges each dream as having low, medium, or high aggression content. The observed frequencies are shown in the following matrix:
|
Gender
Women
Men
|
Aggression Content
|
|
Low
|
Medium
|
High
|
|
18
|
4
|
2
|
|
4
|
17
|
15
|
Is there a relationship between gender and aggressive content in dreams? Test with α =.01.
a) The theatre percentages are 64.2% women and 35.8% male. The chi -square statistic is 4.123. This means that the findings are significant.