AP Statistics Inference for Proportions
Authored by Anthony Clark
Mathematics
12th Grade
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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
In a survey of 104 students, it was found that 79 went to the homecoming game this year. A 99% confidence interval for p is (0.652, 0.868). Interpret this interval.
99% of the time the true proportion of people who went to the homecoming game this year is between 65.2% and 86.6%.
The probability that the population proportion of people who went to the homecoming game this year is between 65.2% and 86.6% is 95%.
Based on this sample, I am 99% confident that the true proportion of people who went to the homecoming game this year is between 65.2% and 86.6%.
99% of all possible intervals calculated this way will capture the true proportion of people who went to the homecoming game this year
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A preliminary study suggests that 17% of people agree on an issue. How large must your sample size be so you could be within ± 5% with 95% confidence?
217
30
2
152
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A random sample of 100 WHS students found that 53 of them were in possession of a pencil. What is the p-hat for this sample?
0.53
0.5
0.47
1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
In a survey of 104 students, it was found that 79 went to the homecoming game this year. Calculate a 99% confidence interval for p.
(0.652, 0.868)
(0.691, 0.829)
(0.678, 0.842(
(0.685, 0.895)
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Kiley has a dime and a nickel, and she wonders if they have the same likelihood of showing heads when they are flipped. She flips each coin 100 times to test if there is a significant difference in the proportion of flips that they each land showing heads.
Which of the following is an appropriate set of hypotheses for Kiley's significance test?
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Elsie bought a new bowling ball. She suspects that she'll roll a strike in a larger percentage of rolls with her new ball than her old ball. She takes a sample of 50 rolls with each ball to test if she rolls a strike significantly more often with the new ball.
Which of the following is an appropriate set of hypotheses for Elsie's significance test?
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If the difference of two proportions (p1-p2) shows a confidence interval of (-0.13, 0.32), what would have been our decision from the 2-prop z-test?
Fail to reject Ha since 0 is in the interval
Fail to reject Ho since 0 is in the interval
Reject Ho since 0 is in the interval
Reject Ha since 0 is in the interval
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