Question

Read carefully through the following problems (Questions 5-8). Each problem is accompanied by a null and an alternative hypothesis, and each set of hypotheses includes at least one mistake. We would like you to identify what the mistake(s) is/are.

- A claim is made that adults spend an average of $475 per year on birthday presents. A researcher believes this value is too low, and she sets out to gather data to test this claim. Her null and alternative hypotheses are below.

H_{o}: *x* = $475

H_{a}: *x* >
$475

- It is claimed that 52% of college students own an iPad. You believe a different proportion of college students own an iPad. Your null and alternative hypotheses are below.

H_{o}: *p* = 0.52

H_{a}: *p*
< 0.52

- It is claimed that high school students across the country spend an average of 10.7 hours per week working at a part-time job. Teachers at one high school worry their students are spending too much time working at part-time jobs and not enough time studying. To determine if these students spend significantly more than 10.7 hours per week working at part-time jobs, they survey a random sample of 45 students. They find the sample average number of hours working at part-time jobs per week to be 12.5. They plan to conduct a hypothesis test, and they begin with the following hypotheses:

H_{o}: µ = 12.5

H_{a}: µ < 12.5

- Researchers claim that 240 seconds is the average amount of time people spend brushing their teeth per day. You think the true average is less than 240 seconds. You write out the following null and alternative hypotheses.

H_{o}: *p* = 120

H_{a}: *p* < 120

Answer #1

1)

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: μ = 475

Alternative Hypothesis, Ha: μ < 475

2)

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: p = 0.52

Alternative Hypothesis, Ha: p ≠ 0.52

3)

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: μ = 10.7

Alternative Hypothesis, Ha: μ > 10.7

4)

Below are the null and alternative Hypothesis,

Null Hypothesis, H0: μ = 240

Alternative Hypothesis, Ha: μ < 240

A class survey in a large class for first-year college students
asked, "About how many hours do you study during a typical week?"
The mean response of the 493 students was x = 15.3 hours. Suppose
that we know that the study time follows a Normal distribution with
standard deviation σ = 8.5 hours in the population of all
first-year students at this university.
Regard these students as an SRS from the population of all
first-year students at this university....

The China Health and Nutrition Survey aims to examine the
effects of the health, nutrition, and family planning policies and
programs implemented by national and local governments. It, for
example, collects information on number of hours Chinese parents
spend taking care of their children under age 6. The side-by-side
box plots below show the distribution of this variable by
educational attainment of the parent. Also provided below is the
ANOVA output for comparing average hours across educational
attainment categories.
Df...

5. Determine the null and alternative hypotheses for the
following scenario.
a) At Northwest Mississippi Community College, syllabi for online
classes state that students should expect
to spend 10 hours per week doing coursework for each
three-credit-hour class. The director of eLearning
for the community college is concerned that students are being
required to spend more than 10 hours per
week doing work for each three-credit course.
b) After learning that Peter Colat of Switzerland could hold his
breath for...

Use the following information to answer questions 13-17: The
belief is that the mean number of hours per week of part-time work
of high school seniors in a city is 10.7 hours. Data from a simple
random sample of 24 high school seniors indicated that their mean
number of part-time work was 11.6 with a standard deviation of 1.4.
Test whether these data cast doubt on the current belief. (use α =
0.05) Part a: State your null and alternative...

We are interested in the average amount of time De Anza students
spend studying statistics each week. A survey of 32 De Anza
students yields a sample average time of 14.4 hours spent studying
statistics per week with a sample standard deviation of 1.9 hours.
Conduct a hypothesis test using a 5% level of significance, to
determine if the average time spent studying statistics each week
by De Anza students is less than 15 hours.
1. Ho: _______________ Ha: ___________________...

1. The belief is that the mean number of hours per week of
part-time work of high school seniors in a city is 10.7 hours. Data
from a simple random sample of 28 seniors indicated that their mean
number of parttime work was 12.5 with a standard deviation of 1.3.
Test whether these data cast doubt on the current belief. (use α =
0.05)
a.)State your null and alternative hypotheses.
b.)Sketch the rejection region.
c.) Calculate the test statistic. Plot...

A class survey in a large class for first‑year college students
asked, “About how many hours do you study during a typical week?”
The mean response of the 463463 students was ?¯=13.7x¯=13.7 hours.
Suppose that we know that the study time follows a Normal
distribution with standard deviation ?=7.4σ=7.4 hours in the
population of all first‑year students at this university.
Regard these students as an SRS from the population of all
first‑year students at this university. Does the study give...

A medical researcher is investigating the effect of drinking
coffee on systolic blood pressure. The researcher assumes the
average systolic blood pressure is 120 mmHg. For a random sample of
200 patients, the researcher takes two measurements of systolic
blood pressure. The first systolic blood pressure measurement is
taken during a week when the patients drink no coffee, and the
second systolic blood pressure measurement is taken during a week
when the patients drink at least two cups of coffee....

Use the following information to answer Questions 1 through
3
The manager of OfficeSpace Inc. wishes to determine whether
employees with an office spend more or less “down time” on the
computer than employees working in a cubicle. She tracks the
monitors of 7 cubicle-workers (denoted as X) and 3 office-workers
for 8 hours each. She finds that the cubicle-workers spend an
average of 38 minutes of “down time,” and the office-workers spend
an average of 49 minutes of “down...

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
2....

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