The Centers for Disease Control developed the Youth J Risk Behavior Surveillance System (YRBSS) to monitor...

The Centers for Disease Control developed the Youth J Risk Behavior Surveillance System (YRBSS) to monitor six categories of priority health risk behaviors among youth: behaviors that contribute to unintentional injuries and violence; tobacco use; alcohol and other drug use; sexual behaviors that contribute to unintended pregnancy and sexually transmitted diseases; unhealthy dietary behaviors; and physical in activity. A multi stage sample design is used to produce representatives samples of students in grades 9 to 12, who then fill out a questionnaire on these behaviors.The data below are for the question “Did Not Use a Condom during Last Sexual Intercourse?” The two-way table of grade and condom usage includes only students who were currently sexually active.Here are the results:

Grades	Condom Used	Condom not Used
9th	300	532
10th	350	736
11th	601	956
12th	873	1068

Describe the most important differences between condom usage and grade. Is there a significant overall difference between the proportions who used condoms in the different grades?

Expert Solution

the total number of participants in the study is 5416.

number of participants used condom is 2124. let p1 be the proportion of the participants that used condom. therefore, p1 = 2124/5416 =0.392.

number of participants that do not used condom is 3292. let p2 be the proportion of the participants that do not used condom. therefore, p2 = 3292/5416 =0.608.

After performing the z-test for two proportions in MINITAB, results are given below:

since the p-value (normal approximation) is 0.000.

we reject the null hypothesis.

therefore is a sufficient evidence to conclude that the difference between the proportions is not equal to zero.

orchestra answered 2 years ago

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