Question

Do you prefer paintings in which the people are fully clothed?
This question was asked by a professional survey group on behalf of
a national arts organization. A random sample of
*n*_{1} = 55 people who are conservative voters
showed that *r*_{1} = 43 said yes. Another random
sample of *n*_{2} = 61 people who are liberal voters
showed that *r*_{2} = 38 said yes. Does this
indicate that the population proportion of conservative voters who
prefer art with fully clothed people is higher? Use *α* =
0.05.

(a) What is the level of significance?

(b)What is the value of the sample test statistic? (Test the
difference *p*_{1} − *p*_{2}. Do not
use rounded values. Round your final answer to two decimal
places.)

(c) Find (or estimate) the *P*-value. (Round your answer to
four decimal places.)

Answer #1

The statistical software output for this problem is :

(a)

level of significance = 0.05

(b)

Test statistics = 1.86

(c)

P-value = 0.0313

Would you favor spending more federal tax money on the arts? Of
a random sample of n1 = 89 politically
conservative voters, r1 = 20 responded yes.
Another random sample of n2 = 77 politically
moderate voters showed that r2 = 21 responded
yes. Does this information indicate that the population proportion
of conservative voters inclined to spend more federal tax money on
funding the arts is less than the proportion of moderate voters so
inclined? Use α = 0.05....

Generally speaking, would you say that most people can be
trusted? A random sample of n1 = 242 people in
Chicago ages 18-25 showed that r1 = 42 said
yes. Another random sample of n2 = 278 people
in Chicago ages 35-45 showed that r2 = 74 said
yes. Does this indicate that the population proportion of trusting
people in Chicago is higher for the older group? Use α =
0.01.
(a) What is the level of significance?
State the...

Would you favor spending more federal tax money on the arts? Of
a random sample of n1 = 231 women, r1 = 61 responded yes. Another
random sample of n2 = 190 men showed that r2 = 56 responded yes.
Does this information indicate a difference (either way) between
the population proportion of women and the population proportion of
men who favor spending more federal tax dollars on the arts? Use α
= 0.10. Solve the problem using both the...

Would you favor spending more federal tax money on the arts? Of
a random sample of n1 = 215 women,
r1 = 61 responded yes. Another random sample of
n2 = 176 men showed that r2
= 55 responded yes. Does this information indicate a difference
(either way) between the population proportion of women and the
population proportion of men who favor spending more federal tax
dollars on the arts? Use α = 0.01. Solve the problem using
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Would you favor spending more federal tax money on the arts? Of
a random sample of n1 = 211 women,
r1 = 67 responded yes. Another random sample of
n2 = 162 men showed that r2
= 57 responded yes. Does this information indicate a difference
(either way) between the population proportion of women and the
population proportion of men who favor spending more federal tax
dollars on the arts? Use α = 0.05.
What is the value of the...

Would you favor spending more federal tax money on the arts? Of
a random sample of n1 = 95 politically conservative voters, r1 = 15
responded yes. Another random sample of n2 = 84 politically
moderate voters showed that r2 = 20 responded yes. Does this
information indicate that the population proportion of conservative
voters inclined to spend more federal tax money on funding the arts
is less than the proportion of moderate voters so inclined? Use α =
0.05....

A study is made of residents in Phoenix and its suburbs
concerning the proportion of residents who subscribe to
Sporting News. A random sample of n1 = 86 urban
residents showed that r1 = 14 subscribed, and a random
sample of n2 = 97 suburban residents showed that
r2 = 20 subscribed. Does this indicate that a higher
proportion of suburban residents subscribe to Sporting
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What is the value of the sample test...

Would you favor spending more federal tax money on the arts? Of
a random sample of n1 = 210 women,
r1 = 56 responded yes. Another random sample of
n2 = 187 men showed that r2
= 55 responded yes. Does this information indicate a difference
(either way) between the population proportion of women and the
population proportion of men who favor spending more federal tax
dollars on the arts? Use α = 0.05. Solve the problem using
both the...

In a survey, people were asked whether they prefer candidate A
or candidate B. Out of 264 people, 90 said they prefer candidate
A.
Find the sample proportion and 95% confidence interval for
this statistic. (Round all answers to 2 decimal places.)
Sample proportion=
Confidence Interval= to =

How often do you go out dancing? This question was asked
by a professional survey group on behalf of the National Arts
Survey. A random sample of 95 single men showed that 24% went out
dancing occasionally. Another random sample of 92 single women
showed that 21% went out dancing occasionally. Is the proportion of
single men who go out dancing occasionally higher than the
proportion of single women? Use a 5% level of
significance.
If men are group 1...

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