Question

A preacher would like to establish that of people who pray,
less than 80 percent pray for world peace. In a random sample of
110 persons, 77 of them said that when they pray, they pray for
world peace. You are to test the preacher’s claim at the 10 percent
level of significance.

a) What would be the appropriate set of hypotheses for this
test?

b) What type of test is given?

c) What is the maximum probability of committing a type I
error?

d) Which test statistic would be most appropriate to
use?

e) Find the test score for this test.

f) Find the critical value.

g) What would be your decision?

h) How would you conclude?

Answer #1

You wish to test the claim that the average IQ score is less
than 100 at the .05 significance level. You determine the
hypotheses are: H o : μ = 100 H 1 : μ < 100 You take a simple
random sample of 38 individuals and find the mean IQ score is 98.8,
with a standard deviation of 15.9. Let's consider testing this
hypothesis two ways: once with assuming the population standard
deviation is not known and once with...

You wish to test the claim that the average IQ score is less
than 100 at the .01 significance level. You determine the
hypotheses are: H o : μ = 100 H 1 : μ < 100 You take a simple
random sample of 60 individuals and find the mean IQ score is 98.7,
with a standard deviation of 14.6. Let's consider testing this
hypothesis two ways: once with assuming the population standard
deviation is not known and once with...

You wish to test the claim that the average IQ score is less
than 100 at the .005 significance level. You determine the
hypotheses are: H o : μ = 100 H 1 : μ < 100 You take a simple
random sample of 95 individuals and find the mean IQ score is 95.2,
with a standard deviation of 14.4. Let's consider testing this
hypothesis two ways: once with assuming the population standard
deviation is not known and once with...

A humane society claims that less than
thirty two percent
of U.S. households own a dog. In a random sample of
four hundred and nine
U.S. households,
153
say they own a dog. At
alphaαequals=0.04
is there enough evidence to support the society's claim?(a)
Write the claim mathematically and identify
Upper H 0H0
and
Upper H Subscript aHa.
(b) Find the critical value(s) and identify the rejection
region(s). (c) Find the standardized test statistic. (d) Decide
whether to reject or...

You wish to test the
claim that the average IQ score is less than 100 at the .005
significance level. You determine the hypotheses are:
Ho: μ=100
H1:μ<100
You take a simple
random sample of 76 individuals and find the mean IQ score is 95.5,
with a standard deviation of 15.1. Let's consider testing this
hypothesis two ways: once with assuming the population standard
deviation is not known and once with assuming that it is known.
Round to three decimal...

A researcher would like to determine whether an over-the-counter
cold medication has an effect on mental alertness. A sample of n =
16 participants is obtained, and each person is given a standard
dose of the medication one hour before being tested in a driving
simulation task. For the general population, scores on the
simulation task are normally distributed with μ = 60 and σ = 8. The
average score in the sample was M = 63.
Can the researcher...

A.
A supermarket claims that the average wait time at the checkout
counter is less than 9 minutes. Assume that we know that
the standard deviation of wait times is 2.5 minutes. We will test
at 5% level of significance.
Consider
H0: mu >= 9
H1: mu < 9
A random sample of 50 customers yielded an average wait time of
8.2 minutes.
What is the critical value for the Zstat (the Z-test
statistic)?
(Provide two decimal places)____________
B.
Given the...

In a random sample of 62 juniors, 34 said they would vote for
Jennifer as student body president. In a random sample of 77
seniors, 48 said they would vote for Jennifer. Does this indicate
that the proportion of seniors who would vote for Jennifer is
higher than the proportion of juniors? Use α=0.05
(A) State the null and alternate hypotheses and the level of
significance. Is the test left-tailed, right-tailed, or
two-tailed?
(B) Identify the appropriate sampling distribution: the...

The average IQ is 100. Below is a
sample of 8 left-handed individuals who have been given an IQ test.
Test the hypothesis that left-handed individuals have different IQs
than the average American. Use an alpha level of .01.
IQ
120
90
110
100
80
90
100
90
(2 pts) What is the appropriate test?
(1 pt) State the null hypothesis:
(1 pt) State the alternative hypothesis:
(2 pts) Find the critical value:
(2 pts) Calculate the obtained statistic:
(1...

A company that sponsors LSAT prep courses would like to be able
to claim that their courses improve scores by at least 3 percentage
points. To test this, they take a sample of 8 people, have each
take an initial diagnostic test, then take the prep course, and
then take a post-test after the course. The test results are below
(scores are out of 100%):
Person 1, 2, 3, 4, 5, 6, 7, 8 Initial Test 79, 77, 80, 66,...

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