Question

A report stated that 22% of people agree with the death penalty for punishment for criminals. You conduct your own SRS study and find that of the 93 people you interviewed, 23 agree with the death penalty under these conditions. You want to test the claim that the percentage of people who believe in the death penalty is greater than 22%.

Use ? = 0.05.

a) State the null and alternative hypothesis.

b) Is it left-tailed, right-tailed or two-tailed test?

c) Calculate the test statistic.

d) Find the P-value.

e) Find the critical value.

f) Is there significant evidence to reject the report?

Answer #1

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A report stated that 22% of people agree with the death penalty
for punishment for criminals. You conduct your own SRS study and
find that of the 93 people you interviewed, 23 agree with the death
penalty under these conditions. You want to test the claim that the
percentage of people who believe in the death penalty is greater
than 22%.
Use ? = 0.05.
a) State the null and alternative hypothesis.
b) Is it left-tailed, right-tailed or two-tailed test?...

In November 2009, 65% of Americans favored the death penalty for
a person convicted of murder. In November 2014, 1250 adult
Americans were asked by the Gallup organization, “Are you in favor
of the death penalty for a person convicted of murder?” Of those
surveyed, 783 responded yes. Use this survey data to test whether
the proportion of Americans who favored the death penalty for a
person convicted of murder had changed from 2009 to 2014 at level
of significance...

In 2002, the mean age of an inmate on death row was 40.7 years,
according to data obtained from the U.S. Department of Justice. A
sociologist wondered whether the mean age of a death-row inmate has
changed since then. She randomly selects 34 death-row inmates and
finds that their mean age is 38.5, with a standard deviation of
10.2. Does this data indicate that the mean age of
death-row inmates has changed significantly since 2002. Use the α =
0.05 level...

For questions 20 – 23 answer all the
following questions:
a)State the Null and Alternate
Hypotheses
b) Which is the claim?
c) Describe the reject region as left tailed, right tailed or
two-tailed.
d) Will you use a z-test or a t-test?
What is the critical value?
e) Find the sample statistic.
f) Do you reject or fail to reject the
claim? Write out your decision in at least one sentence.
20. A report by a
restaurant reviewer claims that...

DATA: According to data, 72.4% of the population in Kahului,
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high and will perform a study at a 5% level of significance.
A group of 30 people were sampled in Kahului, Maui where 21
people stated that they drive alone for their commute to work.
H0: p = 0.724
Ha: p < 0.724
pcap = 21/30 = 0.7
Test statistic,
z = (pcap - p)/(p*(1-p)/n))
z =...

Fox News reports that People are all excited because they have
taken an exit poll of 1200 voters and found that 50.5% of the
voters say that they voted for Richard Nixon and they predict that
he will be president. Test this claim using a 1 % significance
level. (α=0.01) Define your hypothesis. Calculate the test
statistic. By hand or by calculator. Calculate the proper critical
value. Find the probability value (p value). Is this a right tailed
test, left...

Fox News reports that People are all excited because they have
taken an exit poll of 1200 voters and found that 50.5% of the
voters say that they voted for Richard Nixon and they predict that
he will be president. Test this claim using a 1 %
significance level. (α=0.01)
Define your hypothesis.
Calculate the test statistic. By hand or by calculator.
Calculate the proper critical value.
Find the probability value (p value).
Is this a right tailed test, left...

Hypothesis Test Example For Proportions:
What proportion of people do not drink alcohol? You believe that
the proportion of people in the U.S.A. who do not drink is less
than 15%. To determine if you are correct, you take a SRS of 400
U.S. residents, and find the proportion of people who do not drink
in your sample is 0.22. Conduct a hypothesis test at the 5%
significance level.
A). Write the hypotheses for the test.
B). Check the assumptions...

The report titled "Digital Democracy Survey"† stated that 31% of
the people in a representative sample of adult Americans age 33 to
49 rated a landline telephone among the three most important
services that they purchase for their home. In a representative
sample of adult Americans age 50 to 68, 48% rated a landline
telephone as one of the top three services they purchase for their
home. Suppose that the samples were independently selected and that
the sample size was...

A new bus route has been established between downtown Denver and
Englewood (a suburb of Denver). Eric has taken the bus to work for
many years. For the old bus route, he knows from long experience
that the mean waiting time between buses at his stop was 20
minutes.
However, a random sample of 34 waiting times between buses using
the new route had a mean of 17.2 minutes with a sample standard
deviation of 6.4 minutes.
Does this indicate...

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