Question 1

For the following 6 questions, state the null hypothesis, H0, and the alternative hypothesis, H0, in terms of the appropriate parameter ( or p).

The mean number of years Americans work before retiring is 34.

Question 1 options:

H0: p = 34; Ha: p > 34

H0: = 34; Ha: > 34

H0: p = 34; Ha: p 34

H0: = 34; Ha: 34

Question 2

At most, 60% of Americans vote in presidential elections.

Question 2 options:

H0: 0.60; Ha: > 0.60

H0: p 0.60; Ha: p > 0.60

H0: p 0.60; Ha: p = 0.60

H0: 0.60; Ha: = 0.60

Question 3

Twenty-nine percent of high school seniors get drunk each month.

Question 3 options:

H0: p = 0.29; Ha: p 0.29

H0: = 0.29; Ha: 0.29

H0: 0.29; Ha: = 0.29

H0: p 0.29; Ha: p = 0.29

Question 4

Europeans have a mean paid vacation each year of six weeks.

Question 4 options:

H0: = 6; Ha: < 6

H0: = 6; Ha: > 6

H0: = 6; Ha: 6

H0: = 6; Ha: = 6

Question 5

The chance of developing breast cancer is under 11% for women.

Question 5 options:

H0: p = 0.11; Ha: p < 0.11

H0: = 0.11; Ha: > 0.11

a

H0: p 0.11; Ha: p < 0.11

H0: 0.11; Ha: < 0.11

Question 6

Private universities' mean tuition cost is more than $20,000 per year.

Question 6 options:

H0: 20,000; Ha: > 20,000

H0: p 20,000; Ha: p > 20,000

H0: = 20,000; Ha: < 20,000

H0: p = 20,000; Ha: p < 20,000

Question 7

For the following 6 problems, state the Type I and Type II errors in complete sentences given the following statements.

The mean number of years Americans work before retiring is 34.

Question 7 options:

Type I error: We conclude that the mean is 34 years, when in fact it really is not 34 years.

Type II error: We conclude that the mean is not 34 years, when it really is 34 years.

Type I error: We conclude that the mean is not 34 years, when it really is 34 years.

Type II error: We conclude that the mean is 34 years, when in fact it really is not 34 years.

Question 8

At most, 60% of Americans vote in presidential elections.

Question 8 options:

Type I error: We conclude that more than 60% of Americans vote in presidential elections, when the actual percentage is at most 60%. Type II error: We conclude that, at most, 60% of Americans vote in presidential elections when, in fact, more than 60% do.

Type I error: We conclude that, at most, 60% of Americans vote in presidential elections when, in fact, more than 60% do. Type II error: We conclude that more than 60% of Americans vote in presidential elections, when the actual percentage is, at most, 60%.

Question 9

Twenty-nine percent of high school seniors get drunk each month.

Question 9 options:

Type I error: We conclude that the proportion of high school seniors who get drunk each month is not 29%, when it really is 29%. Type II error: We conclude that the proportion of high school seniors who get drunk each month is 29% when, in fact, it is not 29%.

Type I error: We conclude that the proportion of high school seniors who get drunk each month is 29% when, in fact, it is not 29%. Type II error: We conclude that the proportion of high school seniors who get drunk each month is not 29%, when it really is 29%.

Question 10

Europeans have a mean paid vacation each year of six weeks.

Question 10 options:

Type I error: We conclude that the duration of paid vacations each year for Europeans is six weeks when, in fact, it is not. Type II error: We conclude that the duration of paid vacations each year for Europeans is not six weeks, when, in fact, it is six weeks.

Type I error: We conclude that the duration of paid vacations each year for Europeans is not six weeks, when, in fact, it is six weeks. Type II error: We conclude that the duration of paid vacations each year for Europeans is six weeks when, in fact, it is not.

Question 11

The chance of developing breast cancer is under 11% for women.

Question 11 options:

Type I error: We conclude that the proportion is less than 11%, when it is really at least 11%. Type II error: We conclude that the proportion of women who develop breast cancer is at least 11%, when, in fact, it is less than 11%.

Type I error: We conclude that the proportion of women who develop breast cancer is at least 11%, when, in fact, it is less than 11%. Type II error: We conclude that the proportion is less than 11%, when it is really at least 11%.

Question 12

Private universities' mean tuition cost is more than $20,000 per year.

Question 12 options:

Type I error: We conclude that the average tuition cost at private universities is, at most, $20,000 when, in fact, it is more than $20,000. Type II error: We conclude that the average tuition cost at private universities is more than $20,000, though in reality it is, at most, $20,000.

Type I error: We conclude that the average tuition cost at private universities is more than $20,000, though in reality it is, at most, $20,000. Type II error: We conclude that the average tuition cost at private universities is, at most, $20,000 when, in fact, it is more than $20,000.

Question 13

Which distribution do you use when you are testing a population mean and the population standard deviation is known? Assume a normal distribution, with n 30.

Question 13 options:

A student'st-distribution

Normal distribution

Poisson distribution

Question 14

It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get fewer than seven hours of sleep per night, on average. A survey of 22 LTCC Intermediate Algebra students generated a mean of 7.24 hours with a standard deviation of 1.93 hours. At a level of significance of 5%, do LTCC Intermediate Algebra students get fewer than seven hours of sleep per night, on average?

The distribution to be used for this test is x is ~ __________.

Question 14 options:

N(7.24, 1.93/22)

N(7.24,1.93)

t₂₂

t₂₁

Question 15

You are performing a hypothesis test of a single population proportion. You find out that np is less than five. What must you do to be able to perform a valid hypothesis test?

Question 15 options:

Decrease the sample size so that np is greater than five.

Decrease the sample size so that np is equal to five.

Increase the sample size so that np is greater than five.

Increase the sample size so that np is equal to five.