Question

In a study of
red/green color blindness, 700 men and 2500 women are randomly
selected and tested. Among the men, 63 have red/green color
blindness. Among the women, 7 have red/green color blindness. Test
the claim that men have a higher rate of red/green color
blindness.

(Note: Type ‘‘*p*_*m*′′‘‘p_m″ for the symbol
*p**m*pm , for example
** p_mnot=p_wp_mnot=p_w**
for the proportions are not equal,

(a) State the null hypothesis:

(b) State the alternative hypothesis:

(c) The test statistic is

(d) Is there sufficient evidence to support the claim that men
have a higher rate of red/green color blindness than women? Use a 1
% significance level.

**A.** Yes

**B.** No

(e) Construct the 9999% confidence interval for the difference between the color blindness rates of men and women.

<(*p**m*−*p**w*)<<(pm−pw)<

Answer #1

In a study of
red/green color blindness, 950 men and 2550 women are randomly
selected and tested. Among the men, 85 have red/green color
blindness. Among the women, 7 have red/green color blindness. Test
the claim that men have a higher rate of red/green color
blindness.
(Note: Type ‘‘p_m′′‘‘p_m″ for the symbol
pmpm , for example
p_mnot=p_wp_mnot=p_w
for the proportions are not equal,
p_m>p_wp_m>p_w
for the proportion of men with color blindness is larger,
p_m<p_wp_m<p_w
, for the proportion of...

In a study of red/green color blindness, 700 men and 2850 women
are randomly selected and tested. Among the men, 61 have red/green
color blindness. Among the women, 7 have red/green color blindness.
Test the claim that men have a higher rate of red/green color
blindness. (Note: Type ‘‘p_m″ for the symbol pm , for example
p_mnot=p_w for the proportions are not equal, p_m>p_w for the
proportion of men with color blindness is larger, p_m)
(a) State the null hypothesis:...

In a study of red/green color blindness, 600 men and 2000 women
are randomly selected and tested. Among the men, 52 have red/green
color blindness. Among the women, 5 have red/green color blindness.
Test the claim that men have a higher rate of red/green color
blindness.
(Note: Type ‘‘p_m′′‘ for the symbol pm , for example p_m
not=p_w for the proportions are not equal,
p_m>p_w for the proportion of men with color
blindness is larger, p_m<p_w, for the
proportion of...

In a study of red/green color blindness, 950 men and 2700 women
are randomly selected and tested. Among the men, 90 have red/green
color blindness. Among the women, 7 have red/green color blindness.
Test the claim that men have a higher rate of red/green color
blindness. (Note: Type ‘‘p_m" for the symbol pm , for example
p_mnot=p_w for the proportions are not equal, p_m>p_w for the
proportion of men with color blindness is larger, p_m
The test statistic is:
Construct...

In a study of red/green color blindness, 900 men and 2450 women
are randomly selected and tested. Among the men, 80 have red/green
color blindness. Among the women, 7 have red/green color blindness.
Test the claim that men have a higher rate of red/green color
blindness.
(e) Construct the 90% confidence interval for the difference
between the color blindness rates of men and women.
________ < (Pm-Pw) <______

Independent simple random samples of 950 men and 2500 women are
tested. Among the men in the sample, 81 have red/green color
blindness. Among the women in the sample, 9 have red/green color
blindness.
The value of the test statistic is z= (round
to at least three decimal places).
A sample of 56 students who live on-campus has a mean GPA of
83.7 with a sample standard deviation of 7.44. A independent sample
of 42 students who live off-campus has...

Color Blindness The most common form of color blindness is
red–green color blindness. People with this type of color blindness
cannot distinguish between green and red. Approximately 8% of all
males have red–green color blindness, while only about 0.64% of
women have red–green color blindness. In 2000, 49.1% of all
Americans were male and 50.9% were female according to the U.S.
Census Bureau
. (a) What is the probability that a randomly selected American
is color blind?
b) What is...

A certain group of women has a
0.640.64%
rate of red/green color blindness. If a woman is randomly
selected, what is the probability that she does not have red/green
color blindness?
What is the probability that the woman selected does not have
red/green color blindness?
nothing
(Type an integer or a decimal. Do not round.)

Data:
A randomly selected group of 35 adult American men (subscript M)
was asked if they owned a handgun. 20 said yes. A randomly selected
group of 40 adult American women (subscript W) was asked if they
owned handgun. 21 said yes. Test the claim that the proportion of
adult men who own handguns is the same as the proportion of adult
women who own handguns. Use α = .05 .
Question 7: Express the claim in symbolic form.
Group...

For the color blindness data in Exercise 16.HE.A, we
wish to test a hypothesis to answer the question, “Has the instance
of color blindness increased from the historical rate of
1%?”
"16.HE.A: It is estimated that 1%
of the population suffers from red/green color blindness (Source:
USA Today). The ophthalmology department of a large university
medical center randomly tests 300 men. 11 are found to have this
type of color blindness.
(a)
Check the necessary assumptions and conditions for a...

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