One Proportion Z Test Worksheet



One Proportion Z Test Worksheet

1. Any Boston Celtics fan or archrival knows that Shaquille O’Neal, one of the NBA’s most dominant centers of the last twenty years, always had difficulty shooting free throws. Over the course of his career, his overall made free-throw percentage is 53.3%. During this offseason, Shaq is working with an assistant coach on his free-throw technique. During the first 5 games of the next season, Shag made 26 of his 39 free-throw attempts. Do these results provide convincing evidence that Shaq has significantly improved his free-throw shooting? Carry out a significance test at the ά = 0.05 level.

2. Describe what a Type I and Type II error would be in the setting for question 1.

3. Two Polish math professors and their students spun a Belgian euro coin 250 times. It landed on heads 140 times. One of the professors concluded that the coin was minted asymmetrically. A representative from the Belgian mint said that the result was just by chance. Is the math professor or the representative from the Belgian mint correct?

a. Conduct an appropriate significance test at the 1% level to see which one is correct.

b. Then, double-check your answer by finding the matching 98% confidence interval.

4. Drug use is becoming an increasingly latge problem at the high school athletic level and more and more schools are beginning to employ randomized drug testing. If a students tests positive for illegal substances, he/she is removed from the athletic team, issued a one-week suspension and ordered to attend a substance abuse class. In order to test for the use of illegal drugs, a urine sample is administered to a random samle of 100 athletes at ABC High School. The test uses the following hypotheses:

H0: student has not used drugs in last 72 hours

Ha: student has used drugs in last 72 hours

a. In the context of this situation, describe a type I and a type II error.

Type I:

Type II:

b. Which type of error do you think is more alarming from the student athlete’s viewpoint? Explain.

5. A drug manufacturer claims that fewer than 10% of patients who take its new drug for treating Alzheimer’s disease will experience nausea. In a random sample of 250 patients, 23 experienced nausea. Perform a significance test at the 5% significance level to test this claim.

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download