AP Stats Chapter 8 Practice Test

Quiz
•
Mathematics
•
11th Grade
•
Hard
Ryan Wolf
Used 8+ times
FREE Resource
11 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The Gallup Poll interviews 1600 people. Of these, 18% say that they jog regularly. The news report adds: “The poll had a margin of error of plus or minus three percentage points at a 95% confidence level.” You can safely conclude that
95% of the population jog between 15% and 21% of the time.
if Gallup took many samples, 95% of them would find that 18% of the people in the sample jog.
95% of all Gallup Poll samples like this one give answers within ±3% of the true population value.
we can be 95% confident that the sample proportion is captured by the confidence interval.
the percent of the population who jog is certain to be between 15% and 21%.
Answer explanation
95% of confidence intervals will capture the true proportion, not any particular sample proportion.
2.
FILL IN THE BLANK QUESTION
1 min • 1 pt
A confidence interval for a difference in proportions is −0.077 to 0.013. What are the point estimate rounded to 3 decimal places.
Answer explanation
The point estimate is the midpoint of the interval.
3.
FILL IN THE BLANK QUESTION
1 min • 1 pt
A confidence interval for a difference in proportions is −0.077 to 0.013. What is the margin of error rounded to 3 decimal places.
Answer explanation
The margin of error is the distance from the point estimate to the endpoints of the interval.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a random sample of 100 students from a large high school, 37 regularly bring a reusable water bottle from home. Which of the following gives the correct value and interpretation of the standard error of the sample proportion?
In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home will be at most 0.048 from the true proportion.
In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.095 from the true proportion.
In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion.
There is not enough information to calculate the standard error.
In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home will be at most 0.095 from the true proportion.
Answer explanation
Because 𝑛 = 100 < 10% of all students at this large high school the standard error of 𝑝̂ is approximately √(0.37(1−0.37)/100) = 0.048.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Many television viewers express doubts about the validity of certain commercials. In an attempt to answer their critics, Timex Group USA wishes to estimate the true proportion p of all consumers who believe what is shown in Timex television commercials. What is the smallest number of consumers that Timex can survey to guarantee a margin of error of 0.05 or less at a 99% confidence level?
550
600
650
700
750
6.
FILL IN THE BLANK QUESTION
1 min • 1 pt
What is the critical value for calculating a 94% confidence interval for a population proportion?
Enter the critical value to 2 decimal places.
Answer explanation
In a 94% confidence interval, the tail area is (1 – 0.94)/2 = 0.03. Use invNorm or a standard normal table to determine the critical value for this tail area.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A radio talk show host with a large audience is interested in the proportion 𝑝� of adults in his listening area who think the drinking age should be lowered to eighteen. To find this out, he poses the following question to his listeners: “Do you think that the drinking age should be reduced to eighteen in light of the fact that 18-year-olds are eligible for military service?” He asks listeners to go to his website and vote “Yes” if they agree the drinking age should be lowered and “No” if not. Of the 100 people who voted, 70 answered “Yes.” Which of the following conditions are violated?
Random
10%
Large Counts
Random, 10%, Large Counts
Random, 10%
Answer explanation
This is a voluntary response sample, so it is not random.
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