AP Statistics Practice Test 15

1. Some health professionals suspect that doctors are more likely to order cardiac tests for men than women, even when women describe exactly the same symptoms. Young doctors, training to work in the emergency room, were randomly assigned to two groups-Group A and Group B-and presented with the exact same description of common symptoms of heart disease. However, those in Group A were told that the patient was a 55-year-old female and those in Group B were told that the patient was a 55-year-old male. All other patient characteristics were exactly the same.

Which of the following is the appropriate statistic to test whether doctors are less likely to order cardiac tests when the patient is female?

2. A study looked at medical records of about 23,000 patients, mostly in Asia. They found that patients who drank at least three cups of green tea per day had a much lower incidence of depression. In an American newspaper article about this study, which of the following statements should not be made?

3. A polling company wants to estimate, using a 95% confidence interval, the proportion of likely voters that would vote for a particular candidate in the upcoming presidential election. Of the following choices, which is the smallest sample size that will ensure a margin of sampling error less than or equal to 2 percentage points?

4. The director of a local food bank asks for data on all donations given during the month of November. Of the 100 checks received, the average donation is $155 with a standard deviation of $32. Which of the following is the most appropriate statement?

5. A multiple-choice test has 30 questions, and each question has five options. A student has not studied and will guess on every question. Which calculation shows how to find the probability of getting between 15 and 20 (inclusive) questions correct?

6. Claire and Max each created a simulated sampling distribution for a test statistic. They each used samples of size 4 from a normal population with the same mean mand standard deviation s. Claire simulated the sampling distribution of and Max simulated the sampling distribution of , where sis the sample standard deviation.

Which statement makes a correct comparison of their simulated sampling distributions?

7. A spreadsheet contains a data set that consists of 100 values such that IQR> variance. However, these values must be converted using the following formula: NewValue= 2(OldValue) + 10. Which of the following statements is true about the data set consisting of the NewValues?

8. A test for heartworm in dogs shows a positive result in 96% of dogs that actually have heartworm, and shows a negative result in 98% of dogs with no heartworm. If heartworm actually occurs in 10% of dogs, what is the probability that a randomly selected dog that tested positive for heartworm actually has heartworm?

9. A recent poll reported that 43% of Americans approve of the job the president is doing, with a margin of sampling error of ±3.2% at a 95% level of confidence. Which of these correctly interprets that margin of error?

10. Two events Aand Beach have a nonzero probability. If Aand Bare independent, which of the following statements is true?