Question

Two randomly selected groups of citizens were exposed to
different media campaigns that dealt with the image of a political
candidate. One week later, the citizen groups were surveyed to see
whether they would vote for the candidate. The results were as
follows. Is there sufficient evidence to show a difference in the
effectiveness of the two image campaigns at the 0.05 level of
significance? (Use Conservative - Moderate.)

Exposed to Conservative Image Exposed to Moderate
Image

Number in Sample 100 100

Proportion for the Candidate 0.38 0.50

(a) Find z. (Give your answer correct to two decimal
places.)

(ii) Find the p-value. (Give your answer correct to four decimal
places.)

(b) State the appropriate conclusion:

Reject the null hypothesis, there is significant evidence to show a
difference in effectiveness.

Reject the null hypothesis, there is not significant evidence to
show a difference in effectiveness.

Fail to reject the null hypothesis, there is not significant
evidence to show a difference in effectiveness.

Fail to reject the null hypothesis, there is significant evidence
to show a difference in effectiveness.

Answer #1

Twenty laboratory mice were randomly divided into two groups of
10. Each group was fed according to a prescribed diet. At the end
of 3 weeks, the weight gained by each animal was recorded. Do the
data in the following table justify the conclusion that the mean
weight gained on diet B was greater than the mean weight gained on
diet A, at the α = 0.05 level of significance? Assume
normality. (Use Diet B - Diet A.)
Diet A...

Twenty laboratory mice were randomly divided into two groups of
10. Each group was fed according to a prescribed diet. At the end
of 3 weeks, the weight gained by each animal was recorded. Do the
data in the following table justify the conclusion that the mean
weight gained on diet B was greater than the mean weight gained on
diet A, at the α = 0.05 level of significance? Assume
normality. (Use Diet B - Diet A.)
Diet A...

A bakery is considering buying one of two gas ovens. The bakery
requires that the temperature remain constant during a baking
operation. A study was conducted to measure the variance in
temperature of the ovens during the baking process. The variance in
temperature before the thermostat restarted the flame for the
Monarch oven was 2.4 for 22 measurements. The variance for the
Kraft oven was 3.5 for 10 measurements. Does this information
provide sufficient reason to conclude that there is...

Forty-one small lots of experimental product were manufactured
and tested for the occurrence of a particular indication that is
attribute in nature yet causes rejection of the part. Thirty-one
lots were made using one particular processing method, and ten lots
were made using yet a second processing method. Each lot was
equally sampled (n = 33) for the presence of this
indication. In practice, optimal processing conditions show little
or no occurrence of the indication. Method 1, involving the ten...

An experiment was designed to compare the lengths of time that
four different drugs provided pain relief after surgery. The
results (in hours) follow. Is there enough evidence to reject the
null hypothesis that there is no significant difference in the
length of pain relief provided by the four drugs at α =
.05?
Drug
A
B
C
D
4
5
11
3
5
4
9
3
3
3
12
4
6
5
11
10
(a) Find the test statistic....

An experiment was designed to compare the lengths of time that
four different drugs provided pain relief after surgery. The
results (in hours) follow. Is there enough evidence to reject the
null hypothesis that there is no significant difference in the
length of pain relief provided by the four drugs at α =
.05?
Drug
A
B
C
D
7
6
8
3
2
5
12
4
3
5
10
4
7
4
8
8
(a) Find the test statistic....

If a random sample of 27 homes south of Center Street in Provo
has a mean selling price of $145,150 and a standard deviation of
$4775, and a random sample of 29 homes north of Center Street has a
mean selling price of $148,300 and a standard deviation of $5775,
can you conclude that there is a significant difference between the
selling price of homes in these two areas of Provo at the 0.05
level? Assume normality.
(a) Find t....

One month before an election, a poll of
670
randomly selected voters showed
58%
planning to vote for a certain candidate. A week later it became
known that
he
had
been nbspbeen a nbspa juvenile delinquentjuvenile
delinquent,
and a new poll showed only
57%
of
1080
voters supporting
him.him.
Do these results indicate a decrease in voter support for
hishis
candidacy?
a) Test an appropriate hypothesis and state your
conclusion.
b) If you concluded there was a difference, estimate that...

A certain type of flower seed will produce magenta, chartreuse,
and ochre flowers in the ratio 6:3:1 (one flower per seed). A total
of 100 seeds are planted and all germinate, yielding the following
results.
Magenta
Chartreuse
Ochre
56
25
19
(a) If the null hypothesis (6:3:1) is true, what is the expected
number of magenta flowers?
(b) How many degrees of freedom are associated with
chi-square?
(c) Complete the hypothesis test using α = 0.10.
(i) Find the test...

f a random sample of 16 homes south of Center Street in Provo
has a mean selling price of $145,475 and a standard deviation of
$4800, and a random sample of 15 homes north of Center Street has a
mean selling price of $148,350 and a standard deviation of $5975,
can you conclude that there is a significant difference between the
selling price of homes in these two areas of Provo at the 0.05
level? Assume normality.
(a) Find t....

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