Question

Would you favor spending more federal tax money on the arts? Of
a random sample of *n*_{1} = 89 politically
conservative voters, *r*_{1} = 20 responded yes.
Another random sample of *n*_{2} = 77 politically
moderate voters showed that *r*_{2} = 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.

(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 = -0.72

(c)

P-value = 0.7628

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....

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
both the...

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 = 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...

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
n1 = 55 people who are conservative voters
showed that r1 = 43 said yes. Another random
sample of n2 = 61 people who are liberal voters
showed that r2 = 38 said yes. Does this
indicate that the population proportion of conservative voters who
prefer art with fully...

Two voting districts, C and M, were sampled to investigate voter
opinion about tax spending. From a random sample of 100 voters in
District C, 22 percent responded yes to the question “Are you in
favor of an increase in state spending on the arts?” An independent
random sample of 100 voters in District M resulted in 26 percent
responding yes to the question. A 95 percent confidence interval
for the difference (pc−pm)
was calculated as −0.04±0.12
. Which of...

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...

The Forest Service took a random sample of Yellowstone Park
visitors and asked if they favor restrictions on the number of
vehicles allowed to enter the park: 89 of 150 say yes.
a) Give a 95% confidence interval for the
proportion of all Yellowstone visitors who favor the
restrictions.
Include p^
, and the Margin of Error.
b) Are you 95% confident that more than half are
in favor? Explain.
c) What sample size would be needed to...

Adults randomly selected for a poll were asked if they "favor
or oppose using federal tax dollars to fund medical research using
stem cells obtained from human embryos." Of the subjects
surveyed, 263 were in favor, 256 were opposed, and 89 were
unsure. A politician claims that people don't really understand
the stem cell issue and their responses to such questions are
random responses equivalent to a coin flip. Use a 0.05 significance
level to test the claim that the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 15 minutes ago

asked 22 minutes ago

asked 29 minutes ago

asked 53 minutes ago

asked 56 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago