Question

**1. According to a recent report, 38% of adults wait
until they are 30 years of age or older to get
married for the first time. A researcher believes this claimed
value is too low. He gathers
data in order to test the hypotheses Ho: p = 0.38 vs. Ha: p >
0.38. In these hypotheses, what
does p represent?**

A. The sample proportion

B. The population proportion

C. The p-value

D. The sample mean

E. The population mean

You believe college students get less than 6.2 hours of sleep per night. You decide to

conduct a hypothesis test by surveying a random sample of 65 college students. You find

your sample gets an average of 5.8 hours of sleep per night, with a sample standard deviation

of 1.2 hours. What will the test statistic be? Choose the answer below that is closest to what

you calculate, and try not to do a lot of rounding until you get to the very end of your

calculations.

A. -0.1

B. -0.3

C. -0.6

D. -1.2

E. -2.7

alpha (or significance) levels of 0.10, 0.05, and 0.01?

A. We will reject Ho if the alpha level is 0.01, but not if the alpha level is 0.05 or 0.10.

B. We will reject Ho if the alpha level is 0.05, but not if the alpha level is 0.10 or 0.01.

C. We will reject Ho if the alpha level is either 0.10 or 0.05, but not if the alpha level is 0.01.

D. We will reject Ho if the alpha level is 0.10, 0.05, or 0.01.

E. We will fail to reject Ho if the alpha level is 0.10, 0.05, or 0.01.

incorrect. You would like to test the null hypothesis that ? = 0.19 versus the alternative

hypothesis that ? ≠ 0.19. You gather data from a survey of a random sample of 100 adults

and obtain a test statistic of 2.4. If we assume the significance (or alpha) level is α = 0.01,

what should your decision be?

A. Reject the alternative hypothesis

B. Fail to reject the alternative hypothesis

C. Reject the null hypothesis

D. Fail to reject the null hypothesis

E. We cannot reach a conclusion without knowing the sample proportion.

Assuming you have made no errors in your calculations, what would it mean if the test

statistic ends up being larger than (or greater than) zero?

A. The sample proportion is equal to the claimed population proportion.

B. The sample proportion is larger than (or greater than) the claimed population

proportion.

C. The sample proportion is smaller than (or less than) the claimed population

proportion.

D. The sample size must be very large.

E. The sample size must be very small.

Answer #1

Assume the gen. population gets an average of 7 hours of sleep
per night. You randomly select 55 college students and survey them
on their sleep habits. From this sample, the mean number of hours
of sleep is found to be 6.83 hours with a standard deviation of
0.55 hours. You claim that college students get less sleep than the
general population. That is, you claim the mean number of hours of
sleep for all college students is less than...

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is too low, a researcher surveys a random sample of 200 adults and
finds that 71% use some kind of right before they go to bed. If a
hypothesis...

REM (rapid eye movement) sleep is sleep during which most dreams
occur. Each night a person has both REM and non-REM sleep. However,
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Assume that REM sleep time is normally distributed for both
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hours per night. From previous studies, it is known...

According to 2017 US Census data, 23% of Kentucky adults age 25
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percentage has decreased. You find in a random sample of 900
Kentuckians age 25 and older that 199 have a bachelor’s degree. Use
this prompt for the next five questions to conduct a hypothesis
test at the α=0.05 significance level to determine if the percent
of Kentuckians with a college degree has decreased since 2017.
a) State...

REM (rapid eye movement) sleep is sleep during which most dreams
occur. Each night a person has both REM and non-REM sleep. However,
it is thought that children have more REM sleep than adults†.
Assume that REM sleep time is normally distributed for both
children and adults. A random sample of n1 = 9
children (9 years old) showed that they had an average REM sleep
time of x1 = 2.9 hours per night. From previous
studies, it is known...

1. A light-bulb manufacturer advertises that the average life
for its light bulbs is 900 hours.
A random sample of 8 of its light bulbs resulted in the following
lives in hours:
995 590 910 539
916 728 664 693
At the 0.01 significance level, test the claim that the sample
is from a population with a mean life of 900 hours.
a. P-value = 0.979, reject alternative claim
b. P-value = 0.042, reject alternative claim
c. P-value...

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habits.† Each person in a representative sample of 250 adults in
each of these countries was asked how much sleep they get on a
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minutes, and for Mexico the sample mean was 426 minutes. Suppose
that the sample standard deviations were 27 minutes for the U.S.
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Questions D-F
d) You conduct a hypothesis test for the
population proportion. After you calculate the z test statistic,
you find that your p-value = 0.059. Using alpha (α) = 0.05 level of
significance, what is your decision regarding the null hypothesis?
Choose from the following.
- Reject the null hypothesis and reject the alternative
hypothesis
- Accept the null hypothesis
- Do not reject the null hypothesis
- Reject the null hypothesis and accept the alternative
hypothesis
e) You...

A claim is made that 75% of college students use their laptops
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too low. He is able to survey a random sample of 245 college
students, and he finds that 84% of these students use their laptops
to take notes during lecture. Which of the following
statements is correct based on this information?
A. The claimed population proportion is 0.84.
B. If a hypothesis test is conducted, the test...

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