# 9.1 Homework (modified r. bloom)  (Page 5/5)

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The alternate hypothesis is

• ## A

$p<0\text{.}\text{30}$
• ## B

$p\le 0\text{.}\text{30}$
• ## C

$p\ge 0\text{.}\text{30}$
• ## D

$p>0\text{.}\text{30}$

D

After conducting the test, your decision and conclusion are

• ## A

Reject ${H}_{o}$ : More than 30% of teen girls smoke to stay thin.
• ## B

Do not reject ${H}_{o}$ : Less than 30% of teen girls smoke to stay thin.
• ## C

Do not reject ${H}_{o}$ : At most 30% of teen girls smoke to stay thin.
• ## D

Reject ${H}_{o}$ : Less than 30% of teen girls smoke to stay thin.

C

The next three questions refer to the following information: A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening night midnight showing of the latest Harry Potter movie. For a random sample of 84 EVC students, 11 of the students in the sample attended the midnight showing.

An appropriate alternative hypothesis is

• ## A

$p=0\text{.}\text{20}$
• ## B

$p>0\text{.}\text{20}$
• ## C

$p<0\text{.}\text{20}$
• ## D

$p\le 0\text{.}\text{20}$

C

At a 1% level of significance, an appropriate conclusion is:

• ## A

The percent of EVC students who attended the midnight showing of Harry Potter is at least 20%.
• ## B

The percent of EVC students who attended the midnight showing of Harry Potter is more than 20%.
• ## C

The percent of EVC students who attended the midnight showing of Harry Potter is less than 20%.
• ## D

There is not enough information to make a decision.

A

The Type I error is believing that the percent of EVC students who attended is:

• ## A

at least 20%, when in fact, it is less than 20%.
• ## B

20%, when in fact, it is 20%.
• ## C

less than 20%, when in fact, it is at least 20%.
• ## D

less than 20%, when in fact, it is less than 20%.

C

The next two questions refer to the following information:

It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than 7 hours of sleep per night, on average. A survey of 22 LTCC Intermediate Algebra students generated an average 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 less than 7 hours of sleep per night, on average?

The distribution to be used for this test is $\overline{X}$ ~

• ## A

$N\left(7\text{.}\text{24},\frac{1\text{.}\text{93}}{\sqrt{\text{22}}}\right)$
• ## B

$N\left(7\text{.}\text{24},1\text{.}\text{93}\right)$
• ## C

${t}_{\text{22}}$
• ## D

${t}_{\text{21}}$

D

The Type II error is “I believe that the average number of hours of sleep LTCC students get per night

• ## A

is less than 7 hours when, in fact, it is at least 7 hours.”
• ## B

is less than 7 hours when, in fact, it is less than 7 hours.”
• ## C

is at least 7 hours when, in fact, it is at least 7 hours.”
• ## D

is at least 7 hours when, in fact, it is less than 7 hours.”

D

The next three questions refer to the following information: An organization in 1995 reported that teenagers spent an average of 4.5 hours per week on the telephone. The organization thinks that, in 2007, the average is higher. Fifteen (15) randomly chosen teenagers were asked how many hours per week they spend on the telephone. The sample mean was 4.75 hours with a sample standard deviation of 2.0.

The null and alternate hypotheses are:

• ## A

${H}_{o}:\overline{x}=4\text{.}5$ , ${H}_{a}:\overline{x}>4\text{.}5$
• ## B

${H}_{o}:\mu \ge 4\text{.}5$ ${H}_{a}:\mu <4\text{.}5$
• ## C

${H}_{o}:\mu =4\text{.}\text{75}$ ${H}_{a:}\mu >4\text{.}\text{75}$
• ## D

${H}_{o}:\mu =4\text{.}5$ ${H}_{a}:\mu >4\text{.}5$

D

At a significance level of $a=0\text{.}\text{05}$ , the correct conclusion is:

• ## A

The average in 2007 is higher than it was in 1995.
• ## B

The average in 1995 is higher than in 2007.
• ## C

The average is still about the same as it was in 1995.
• ## D

The test is inconclusive.

C

The Type I error is:

• ## A

To conclude the average hours per week in 2007 is higher than in 1995, when in fact, it is higher.
• ## B

To conclude the average hours per week in 2007 is higher than in 1995, when in fact, it is the same.
• ## C

To conclude the average hours per week in 2007 is the same as in 1995, when in fact, it is higher.
• ## D

To conclude the average hours per week in 2007 is no higher than in 1995, when in fact, it is not higher.

B

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