Question

The college board claims that 32% of community college students take five semesters to complete a two-year program. In a survey of 1400 randomly selected community college students enrolled in a two-year program, 401 of them took five semesters to complete their two-year program. Test the college board's claim at a level of significance of 0.01.

**Calculate the test statistics associated with this
hypothesis.**

*(Round your answer to 2 decimal places)*

**Calculate the P-Value associated with the test
statistics that you have found in part 3.**

*(Round your answer to 4* *decimal places)*

**Based on your finding in part 4, please choose the
appropriate decision.**

Reject the Null Hypothesis |
||

Fail to Reject the Null Hypothesis |
||

Accept the Alternative Hypothesis |
||

Accept the Null Hypothesis |

**Based on your finding from part 5,**

**a) What type of error could have occurred
potentially?**

**b.) Explain the reasoning of the type of error of your
choice.**

**Based on your results from parts 1-5, which one of the
statements below would be the correct interpretation of this
hypothesis testing?**

At a level of significance of 0.01, the College Board claim is correct. |
||

At a level of significance of 0.01, the College Board claim is not correct. |
||

At a level of significance of 0.01, there is enough evidence to support the claim. |
||

At a level of significance of 0.01, there is not enough evidence to support the claim. |

Answer #1

The statistical software output for this problem is:

From above output:

Test statistic = -**2.69**

P - value = **0.0071**

Reject the Null Hypothesis

**Based on your finding from part 5,**

What type of Error: **Type I error**

Explain the reasoning: **Since we are rejecting the null
hypothesis, the associated error could be Type I
error**.

Conclusion: **At a level of significance of 0.01, the
College Board claim is not correct.**

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...

A college instructor claims that the proportion of students who
will fail the final exam is less than 10%.
To test this claim, a random sample of student results on the final
exam is monitored.
Assume that the test statistic for this hypothesis test is
−2.13.
Assume the critical value for this hypothesis test is
−1.645.
Come to a decision for the hypothesis test and interpret
your results with respect to the original claim.
Select the correct answer below:
a)...

A random sample of 535 college freshman found that 144 bought
most of their textbooks from the college's bookstore. A random
sample of 266 college seniors found that 37 bought their textbooks
from the college's bookstore. You wish to test the claim that the
proportion of all freshman that purchase most of their textbooks
from the college's bookstore is not equal to the proportion of all
seniors at a significance level of α=0.01α=0.01. Round answers to 4
decimal places. Assume...

Michigan State's college admission board believes the average
SAT scores among honors program students across the country exceeds
1250. A random sample of 16 honors program students is taken and
the average SAT score for that sample is found to be 1300. The
sample standard deviation of scores was calculated to be 160. Test
the Admission Board's claim at the 0.01 level of significance. Find
P-value. Explain answer.

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=...

An education rehearser claims that at most 5% of working college
students are employed as teachers or teaching assistants. In a
random sample of 300 working college students, 18 of them are
employed as teachers or teaching assistants. Is there enough
evidence to support your thinking at α = 0.05?
1. The proportion of students in the sample who are employed as
teachers or teaching assistants is?
2. Null hypothesis
3. Alternative hypothesis
4. Is Success/Failure condition met?
5. Observed...

The mean age when smokers first start is 13 years old with a
population standard deviation of 1.8 years. A researcher thinks
that smoking age has significantly changed since the invention of
ENDS—electronic nicotine delivery systems. A survey of smokers of
this generation was done to see if the mean age has changed. The
sample of 34 smokers found that their mean starting age was 12.1
years old. Do the data support the claim at the 1% significance
level?
ho=...

A high school principle currently encourages students to enroll
in a specific SAT prep program that has a reputation of improving
score by 50 points on average. A new SAT prep program has been
released and claims to be better than their current program. The
principle is thinking of advertising this new program to students
if there is enough evidence at the 5% level that their claim is
true. The principle tests the following hypotheses:
H0:μ=50 points
HA:μ>50 points
where...

The US Department of Energy reported that 45% of homes were
heated by natural gas. A random sample of 300 homes in Oregon found
that 170 were heated by natural gas. Test the claim that proportion
of homes in Oregon that were heated by natural gas is different
than what was reported. Use a 5% significance level. Give answer to
at least 4 decimal places.
What are the correct hypotheses? (Select the correct symbols and
use decimal values not percentages.)...

Is there a difference between community college statistics
students and university statistics students in what technology they
use on their homework? Of the randomly selected community college
students 43 used a computer, 72 used a calculator with built in
statistics functions, and 65 used a table from the textbook. Of the
randomly selected university students 28 used a computer, 33 used a
calculator with built in statistics functions, and 40 used a table
from the textbook. Conduct the appropriate hypothesis...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 7 minutes ago

asked 24 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago