Question

A researcher claims that college students walk an average of
7,700 steps per day. You do not believe this claim, and you set out
to conduct a hypothesis test. If the test statistic is equal to 1.9
and you have set up a **two-tailed** (or
**two-sided**) alterative hypothesis, what will the
*p*-value be?

Answer #1

A researcher claims that high-school students exercise an
average (mean) of 8 hours per week. (You think that the number is
actually higher.) From a sample of 40 students, you find a mean of
9 hours with a sample standard deviation of 1 hour. Conduct a
hypothesis test using a 5% significance level.
a) What are the null and alternative hypotheses?
b) What is the test statistic?
c) What is the p-value?
d) Do your reject the null hypothesis? Explain...

An
educated researcher claims that 57% of college students working
year-round in a random sample 500 college students 285 say that
they work year-round. At a= 0.01 is there enough evidence to reject
the researchers claim? what is critical value? what is the standard
test statistic z? what is the p value?

Question 3
A college professor claims the proportion of students that
complete a homework assignment is 70%. To
test this claim, a random sample of students are monitored and
checked if they completed the home the algebra class.
Assume that the test statistic for this hypothesis test is
−1.73.
Since this is a two tailed hypothesis test, assume that the
critical values for this hypothesis test are −1.96 and 1.96.
Come to a decision for the hypothesis test and interpret...

Suppose the Dean of our college claims that, the average GPA
for all students in the college is at least 3.00, with standard
deviation 0.4. However, from a class with 25 students,
we find the class average GPA is 2.80. Can we reject the
dean’s claim at significance level 0.05? (We conduct a hypothesis
testing).
a). H0:
mu=3.00, Ha:
b). Calculate test statistic, here is
z-value.
c). Find pvalue.
d). Make your decision.

A student claims that the population mean of weight of TWST
students is NOT 58kg. A random sample of 25 is tested and the
sample mean is 62kg. Assume the weight is normally distributed with
the population standard deviation 2.8kg. We will do a hypothesis
testing at 5% level of significance to test the claim. (a) (10) Set
up the null hypothesis and alternative hypothesis. (b) (5) Which
test should we use? Upper-tailed test? Lower-tailed test?
Two-tailed test? (c) (10)...

A college claims that 25% of its students receive tuition
discounts. In a sample of 150 students, 35 of the students receive
tuition discounts.
a. Using a significance level of α=0.1, perform a two-tailed
hypothesis test to determine if the college’s claim is being met.
Use the confidence interval approach.
b. Repeat part (a), but use the p-value approach.

10. The institutional researcher at a community college reads
that the persistence rate (percent of students who return to
college for the next academic year) is higher for full-time
students as compared to part-time students. He decides to test this
out at his college. He tracks a randomly selected randomly selected
sample of 350 full- time students and 480 part-time students. Of
the 350 full-time students, 316 return to college the next year. Of
the 480 part-time students, 319 return...

An education researcher claims that
58%
of college students work year-round. In a random sample of
300
college students,
174
say they work year-round. At
α=0.10,
is there enough evidence to reject the researcher's claim?
Complete parts (a) through (e) below.
a) Identify the claim and state
H0
and
Ha.
Identify the claim in this scenario. Select the correct choice
below and fill in the answer box to complete your choice.
(Type an integer or a decimal. Do not round.)...

The dean of students of a large private college claims that the
average distance commuting students travel to the campus is 32
miles. The commuting students feel otherwise. A sample of 64
students was randomly selected and yielded a mean of 35 miles and a
standard deviation of 5 miles. Identify the null and alternative
hypotheses. Test the dean’s claim at the 5 percent level of
significance (α = 0.05) using critical approach and state
a conclusion.
(Hint: two-tailed test,...

In 2011, a U.S. Census report determined that 55% of college
students are working students. A researcher thinks this percentage
has changed and surveys 194 college students. The researcher
reports that 127 of the 194 are working students. Is there evidence
to support the researcher's claim at the 1% significance level?
Determine the null and alternative hypotheses.
H0p=
H1:p ? ≠ < > (Select the correct symbol
and enter the value.)
Determine the test statistic. Round to two decimal
places.
z=...

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