16.
A random sample of students is given a chapter test. Suppose we test the hypothesis that the mean score is higher than 82
points. Given that $X = 86$ points and that the p-value for this test is 0.02, which of the following statements is correct?
a. About 2% of students in the sample scored at least 86 points on the test
b. About 2% of all students scored 86 points on the test.
c. If the population mean is 82 points, then about 2% of all samples this size would show a mean of at least 86 pts
d. If the sample mean is 86 points, then there is a 2% chance that the population mean is higher than 82
e. There is about a 2% chance that the null hypothesis is correct.
17. Which of the following could be a correct interpretation for a 95% confidence interval for a proportion?
a. We are 95% confident that between 75% and 82% of those surveyed were satisfied with Black Friday prices.
b. We are 95% confident that between 75% and 82% of all customers were satisfied with Black Friday prices.
c. There is a 95% chance that between 75% and 82% of all customers were satisfied with Black Friday prices.
d. 95% of the time between 75% and 82% of all customers are satisfied with Black Friday prices.
e. None of these could be a correct interpretation for a 95% confidence interval for the proportion.
Use the following table to answer questions 18-20.
In a study of 478 fourth, fifth and sixth graders, the following data were collected on their gender and on their primary goal.
Good Grades, G Being Popular, P Good at Sports, S Total
Male, M
Female, F
Total
117
50
60
227
130
91
30
251
247
141
90
478
18.
What is the probability that a randomly selected student from the study has a goal of "Good grades"?
117
a.
b.
478
130
478
c.
247
478
d.
117
e.
247
130
251
19.
What is the probability that a randomly selected male from the study has a goal of "Good grades"?
117
117
a.
b.
117
c.
478
227
247
478
d.
117
247
e.
130
251
20.
What is the probability that a randomly selected student from the study has a goal of good grades or is male?
474
a.
b.
478
357
478
c.
117
478
117
d.
117
247 Ae.
227
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