Question 1: A high school counselor wants to examine whether the teenage pregnancy rate at her school is different from the rate nationwide. She knows that the rate nationwide is 15 %. She randomly selects 80 female students from her high school. She finds that 9 out of 80 students are either pregnant now or have been pregnant previously.
a. What statistical test should be used to analyze the data?
b. Identify H0 and Ha for this study
c. Conduct the appropriate analysis
d. Should H0 be rejected? What should the researcher conclude?
Q2. You notice at the gym that it appears more women tend to work out together, whereas more men tend to work out alone. To determine whether this difference is significant, you collect data on the workout preferences for a sample of men and women at your gym. The data follows.
|
|
Males
|
Females
|
|
Together
|
5
|
8
|
|
Alone
|
7
|
6
|
a. What statistical test should be used to analyze the data?
b. Identify H0 and Ha for this study
c. Conduct the appropriate analysis.
d. Should H0 be rejected? What should the researcher conclude?
Q3. A researcher is interested in comparing the Christian maturity level of students who volunteer for community service versus those who do not. The researcher assumes that those who perform community service will have higher Christian maturity scores. The maturity scores tend to be skewed (not normally distributed). Higher scores indicate higher Christian maturity.
|
No Community Service
|
Community Service
|
|
32
|
47
|
|
40
|
48
|
|
54
|
59
|
|
13
|
72
|
|
20
|
80
|
|
26
|
55
|
a. What statistical test should be used to analyze these data?
b. Is this a one- or two- tailed test?
c. Identify H0 and Ha for this study
d. Conduct the appropriate analysis
e. Should H0 be rejected? What should the researcher conclude?