Question

According to a 2014 CIRP Your First College Year Survey, 88% of the first-year college students said that their college experi-ence exposed them to diverse opinions, cultures, and values (www. heri.ucla.edu). Suppose in a recent poll of 1800 first-year college stu-dents, 91% said that their college experience exposed them to diverse opinions, cultures, and values. Perform a hypothesis test to determine if it is reasonable to conclude that the current percentage of all first-year college students who will say that their college experience exposed them to diverse opinions, cultures, and values is higher than 88%. Use a 2% significance level, and use both the p-value and the critical-value approaches.

Answer #1

Solution :

This is the right tailed test .

The null and alternative hypothesis is

H_{0} : p = 0.88

H_{a} : p > 0.88

n = 1800

= 91% = 0.91

P_{0} = 0.88

1 - P_{0} = 1 - 0.88 = 0.12

z = - P_{0} / [P_{0 *} (1 -
P_{0} ) / n]

= 0.91 - 0.88 / [(0.88 * 0.12) / 1800]

= 3.92

P(z > 3.92) = 1 - P(z < 3.92) = 1 - 1 = 0

P-value = 0

= 0.02

P-value <

Reject the null hypothesis .

Z_{}=
Z_{0.02} = 2.05

Critical value = 2.05

Test statistic > critical value

Reject the null hypothesis .

Claim is true

In a survey of a SRS of 463 first-year college students the
students were asked about studying habits. Among these students the
mean response of studying time was 15.3 hours. Suppose we know that
study time among similar students varies with standard deviation
8.5 hours. Does this study give statistically significant evidence
at the 0.05 significance level that students generally claim to
study more than 15 hours per week on average? For full
credit, perform a complete significance test (that is,...

An annual survey of first-year college students asks 274,000
students about their attitudes on a variety of subjects. According
to a recent survey, 58% of first-year students believe that
abortion should be legal. Use a 0.05 significance level to test the
claim that over half of all first-year students believe that
abortion should be legal.
H0: p=0.5 Ha: p>0.5
Find the test statistic z=?
Find p?
reject or don't reject due to not enough evidence or there is
enough evidence?

A class survey in a large class for first-year college students
asked, "About how many minutes do you study on a typical
weeknight?" The mean response of the 285 students was x⎯⎯⎯x¯ = 132
minutes. Suppose that we know that the study time follows a Normal
distribution with standard deviation σσ = 65 minutes in the
population of all first-year students at this university.
Use the survey result to give a 95% confidence interval for the
mean study time of...

(1 point) A class survey in a large class for first-year college
students asked, "About how many minutes do you study on a typical
weeknight?" The mean response of the 278 students was x⎯⎯⎯ = 147
minutes. Suppose that we know that the study time follows a Normal
distribution with standard deviation σ = 65 minutes in the
population of all first-year students at this university. Use the
survey result to give a 90% confidence interval for the mean study...

An annual survey of first-year college students asks 273 comma
000 students about their attitudes on a variety of subjects.
According to a recent survey, 57% of first-year students believe
that abortion should be legal. Use a 0.05 significance level to
test the claim that over half of all first-year students believe
that abortion should be legal. Formulate the null and alternative
hypotheses. Choose the correct answer below. A. Upper H 0:
pequals0.5 Upper H Subscript a: pgreater than0.5 B....

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 468 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....

Throughout the country, the proportion of first-time, first-year
community college students who return for their second year of
studies is p = 0.52 according to the Community College Survey of
Student Engagement. Suppose a community college institutes new
policies geared toward increasing student retention. The first year
this policy was in place there were n = 2843 first-time, first-year
students (N = 1, 050,000). Of these students, x = 1516 returned for
their second year of studies. Treat these students...

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 463 students was x = 15.4 hours.
Suppose that we know that the study time follows a Normal
distribution with standard deviation σ = 8.9 hours in the
population of all first-year students at this university.
(a) Use the survey result to give a 99% confidence interval for
the mean study time...

A class survey in a large class for first-year college students
asked, "About how many minutes do you study on a typical
weeknight?" The mean response of the 272 students was x¯¯¯x¯ = 148
minutes. Suppose that we know that the studey time follows a Normal
distribution with standard deviation σσ = 65 minutes 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....

In a survey of 116 randomly selected new first-year students at
the University of Maine 2019 summer orientation, 82 replied that
they were anxious about starting college in the fall. Test the
claim that less than 75% of all new first-year students at the
University of Maine were anxious about starting college using the
1% level of significance.
(Results from the New Student Survey (2019) UMaine Office of
Institutional Research October 2019).
a. (2pts) List the given information with the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 6 minutes ago

asked 6 minutes ago

asked 20 minutes ago

asked 24 minutes ago

asked 26 minutes ago

asked 27 minutes ago

asked 27 minutes ago

asked 27 minutes ago

asked 29 minutes ago

asked 42 minutes ago

asked 42 minutes ago