AP Statistics Quiz Bowl - Inference Part 1

Quiz
•
Mathematics
•
10th - 12th Grade
•
Hard
+1
Standards-aligned

Chloe Monroe
Used 16+ times
FREE Resource
25 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
I1: In a random sample of 1,250 adult drivers, 450 said that they would cut their driving by 10% if this significantly helped the environment. Which of the following would be the standard error for a 95% confidence interval?
0.00102
0.00849
0.00255
0.01358
0.00038
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
I2: A guidance counselor is interested in comparing GPAs of students with home access to the Internet with students who do not have this access. She pulls the files of an SRS of ten students who do have home access to the Internet and an SRS of ten who do not, and proceeds to run a t-test to compare the mean GPAs of each group. Which of the following is a necessary assumption?
The population standard deviations from each group are known.
The population standard deviations from each group are unknown.
The population standard deviations from each group are equal.
The population of GPA scores from each group is normally distributed.
The samples must be independent samples, and for each sample np and n(1-p) must both be at least 10.
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
I6: A 2007 survey of 980 American drivers concluded that 38% of the driving population would be willing to pay higher gas prices to protect the environment. Which of the following best describes what is meant by the poll having a margin of error of 3%?
3% of those surveyed refused to participate in the poll.
It would be be unexpected for 3% of the population to readily agree to the higher gas prices.
Between 343 and 402 of the 980 drivers surveyed responded that they would be willing to pay higher gas prices to protect the environment.
If a similar survey of 980 American drivers was taken weekly, a 3% change in each week's results would not be unexpected.
It is likely that between 35% and 41% of the driving population would be willing to pay higher gas prices to protect the environment.
Tags
CCSS.HSS.IC.B.4
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
I8: A survey of 1,000 Americans reveals that 525 believe that whales are an endangered animal and should have protection from the fishing industry. In a survey of 750 Japanese, 325 believe that whales are endangered and should be protected. To test at the 5% significance level whether or not the data are significant evidence that the proportion of Japanese who believe that whales need protection is less than the proportion of Americans with this believe, a students sets up the following: H0: p = 0.525 and Ha: p < 0.525, where p is the proportion of Japanese with this belief. Which of the following is a true statement?
The student has set up a correct hypothesis test.
Given the large sample sizes, a 1 percent significance level would be more appropriate.
A two-sided test would be more appropriate.
Given the pooled proportion is 0.486, Ha: p < 0.486 would be more appropriate.
A two-population difference in proportions hypothesis test would be more appropriate.
Tags
CCSS.HSS.IC.B.4
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
I10: A fitness center advertises that the average pulse rate of its members is 68.4 bpm. A high school AP Stats instructor suspects this is a made-up number and runs a hypothesis test on an SRS of 48 members, calculating a mean of 71.0 bpm with a standard deviation of 10.3 bpm. In which of the following intervals is the P-value located?
p < 0.01
0.01 < p < 0.02
0.02 < p < 0.05
0.05 < p < 0.10
p > 0.10
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
I11: A guidance counselor wishes to determine the mean number of changes in academic major by college students to within ± 0.1 at a 90% confidence level. What sample size should be chosen if it is known that the standard deviation is 0.45?
8
54
55
78
110
Tags
CCSS.HSS.IC.B.4
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
I12: In a one-sided hypothesis test for the mean, for a random sample of size 15 the t-score of the sample mean is 2.615. Is this significant at the 5% level? At the 1% level?
Significant at 1%, not at 5%
Significant at 5%, not at 1%
Significant at both
Significant at neither
There is not enough information to determine
Tags
CCSS.HSS.ID.A.4
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