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 .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...

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.
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...

2. In a study of smokers who tried to quit smoking with nicotine
patch therapy, 39 were smoking one year after the treatment, and 32
were not smoking one year after the treatment (based on data from
“High Dose Nicotine Patch Therapy,” by Dale et al., Journal of the
American Medical Association, Vol. 274, No. 17). We want to use a
0.05 significance level to test the claim that among smokers who
try to quit with nicotine patch therapy, the...

A suggestion is made that the proportion of people who have food
allergies and/or sensitivities is 0.42. You believe that the
proportion is actually greater than 0.42. The hypotheses for this
test are Null Hypothesis: p ≤ 0.42, Alternative Hypothesis: p >
0.42. If you select a random sample of 25 people and 17 have a food
allergy and/or sensitivity, what is your test statistic and
p-value?
Question 8 options:
1)
Test Statistic: 2.634, P-Value: 0.004
2)
Test Statistic: -2.634,...

A claim is made that the average salary for all jobs in
Minnesota is greater than $70,500. You are going to test the claim
using α=0.05 and assume that your
data is normally distributed and the population standard
deviation (σ) is not
known.
a. Write the null and alternative hypotheses
symbolically and identify which hypothesis is the claim. Then
identify if the test is left-tailed, right-tailed, or two-tailed
and explain why.
b. Identify and explain which test statistic you will...

A random sample of 100 students at a high school was asked
whether they would ask their father or mother for help with a
financial problem. A second sample of 100 different students was
asked the same question regarding a dating problem. If 43 students
in the first sample and 47 students in the second sample replied
that they turned to their mother rather than their father for help,
test the hypothesis of no difference in the proportions. Use α...

In a survey of
one hundred and eight five
females who recently completed high school,
eighty percent
were enrolled in college. In a survey of
one hundred and fifty
males who recently completed high school,
sixty eight percent
were enrolled in college. At
α=0.07,
can you reject the claim that there is no difference in the
proportion of college enrollees between the two groups? Assume the
random samples are independent. Complete parts (a) through
(e).
(a) Identify the claim and...

5. The decision-making process
A graduate student believes that people consider faces with more
contrast between lip color and skin tone as more feminine. He
identifies the null and alternative hypotheses as:
H₀: The level of contrast between lip color and skin tone does
not affect how feminine a face is considered.
H₁: The level of contrast between lip color and skin tone
affects how feminine a face is considered.
He chooses a significance level of 0.05. After he collects...

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