a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v? v (please enter a decimal) H1: ??v (Please enter a decimal) c. The test statistic ?v = (please show your answer to 3 decimal places.)

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Hints
D (135) H X
O Hints
O Hints
O (135) F X
O (135) F X
O (135) C X
O (135) C X
O (135) C X
s/assessment/showtest.php?action=skip&to=1
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is
significantly different from 74% at a level of significance of a = 0.10. According to your sample, 47 out of 60
potential voters prefer the Democratic candidate.
1)
/1)
/1)
/1)
D/1)
D/1)
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho: ?v?v
(please enter a decimal)
H1: ? ?v
(Please enter a decimal)
0/1)
1/1]
(0.6/1)
D (0.4/1)
1 (0.8/1)
c. The test statistic ?v
(please show your answer to 3 decimal places.)
d. The p-value =
(Please show your answer to 4 decimal places.)
e. The p-value is ? va
f. Based on
shor
Select an answer v the null hypothesis.
2 (0.9/1)
g. Thus, the final conclusion is that ..,
3 (0.7/1)
O The data suggest the populaton proportion is significantly different from 74% at a= 0.10, so there
is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate
is different from 74%
O The data suggest the population proportion is not significantly different from 74% at a = 0.10, so
there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic
candidate is different from 74%.
O The data suggest the population proportion is not significantly different from 74% at a = 0.10, so
there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic
candidate is equal to 74%.
h. Interpret the p-value in the context of the study.
OIf the population proportion of voters who prefer the Democratic candidate is 74% and if another 60
voters are surveyed then there would be a 44.42% chance that either more than 78% of the 60 voters
surveyed prefer the Democratic candidate or fewer than 70% of the 60 voters surveyed prefer the
Democratic candidate.
OIf the sample proportion of voters who prefer the Democratic candidate is 78% and if another 60
voters are surveyed then there would be a 44.42% chance that we would conclude either fewer than
74% of all voters prefer the Democratic candidate or more than 74% of all voters prefer the
Democratic candidate.
DD
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F8
F9
F10
F11
F3
F4
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%
&
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%23
4
6
7
8
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Transcribed Image Text:Hints D (135) H X O Hints O Hints O (135) F X O (135) F X O (135) C X O (135) C X O (135) C X s/assessment/showtest.php?action=skip&to=1 You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 74% at a level of significance of a = 0.10. According to your sample, 47 out of 60 potential voters prefer the Democratic candidate. 1) /1) /1) /1) D/1) D/1) a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v?v (please enter a decimal) H1: ? ?v (Please enter a decimal) 0/1) 1/1] (0.6/1) D (0.4/1) 1 (0.8/1) c. The test statistic ?v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on shor Select an answer v the null hypothesis. 2 (0.9/1) g. Thus, the final conclusion is that .., 3 (0.7/1) O The data suggest the populaton proportion is significantly different from 74% at a= 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 74% O The data suggest the population proportion is not significantly different from 74% at a = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 74%. O The data suggest the population proportion is not significantly different from 74% at a = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 74%. h. Interpret the p-value in the context of the study. OIf the population proportion of voters who prefer the Democratic candidate is 74% and if another 60 voters are surveyed then there would be a 44.42% chance that either more than 78% of the 60 voters surveyed prefer the Democratic candidate or fewer than 70% of the 60 voters surveyed prefer the Democratic candidate. OIf the sample proportion of voters who prefer the Democratic candidate is 78% and if another 60 voters are surveyed then there would be a 44.42% chance that we would conclude either fewer than 74% of all voters prefer the Democratic candidate or more than 74% of all voters prefer the Democratic candidate. DD F6 F7 F8 F9 F10 F11 F3 F4 2$ % & ) %23 4 6 7 8 9 R Y P
O Hints
O (135) HX
O Hints
O Hints
O (135) F X
D (135) F X
O (135) C X
D (135) C x
O (135) C X
mathas/assessment/showtest.php?action=skip&to=1
身
G
is different from 74%
O The data suggest the population proportion is not significantly different from 74% at a = 0.10, so
there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic
candidate is different from 74%.
O The data suggest the population proportion is not significantly different from 74% at a=0.10, so
there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic
candidate is equal to 74%.
h. Interpret the p-value in the context of the study.
OIf the population proportion of voters who prefer the Democratic candidate is 74% and if another 60
voters are surveyed then there would be a 44.42% chance that either more than 78% of the 60 voters
surveyed prefer the Democratic candidate or fewer than 70% of the 60 voters surveyed prefer the
Democratic candidate.
OIf the sample proportion of voters who prefer the Democratic candidate is 78% and if another 60
voters are surveyed then there would be a 44.42% chance that we would conclude either fewer than
74% of all voters prefer the Democratic candidate or more than 74% of all voters prefer the
Democratic candidate.
O There is a 44.42% chance that the percent of all voters who prefer the Democratic candidate differs
from 74%.
O There is a 44.42% chance of a Type I error.
i. Interpret the level of significance in the context of the study.
O There is a 10% chance that the proportion of voters who prefer the Democratic candidate is different
from 74%.
O There is a 10% chance that the earth is flat and we never actually sent a man to the moon.
OIf the population proportion of voters who prefer the Democratic candidate is 74% and if another 60
voters are surveyed then there would be a 10% chance that we would end up falsely concuding that
the proportion of voters who prefer the Democratic candidate is different from 74%
OIf the proportion of voters who prefer the Democratic candidate is different from 74% and if another
60 voters are surveyed then there would be a 10% chance that we would end up falsely concuding
that the proportion of voters who prefer the Democratic candidate is equal to 74%.
Hint:
000
000
DD
F3
F4
F5
F7
FB
F9
F10
F11
F12
#
24
3
4
7
8
Transcribed Image Text:O Hints O (135) HX O Hints O Hints O (135) F X D (135) F X O (135) C X D (135) C x O (135) C X mathas/assessment/showtest.php?action=skip&to=1 身 G is different from 74% O The data suggest the population proportion is not significantly different from 74% at a = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 74%. O The data suggest the population proportion is not significantly different from 74% at a=0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 74%. h. Interpret the p-value in the context of the study. OIf the population proportion of voters who prefer the Democratic candidate is 74% and if another 60 voters are surveyed then there would be a 44.42% chance that either more than 78% of the 60 voters surveyed prefer the Democratic candidate or fewer than 70% of the 60 voters surveyed prefer the Democratic candidate. OIf the sample proportion of voters who prefer the Democratic candidate is 78% and if another 60 voters are surveyed then there would be a 44.42% chance that we would conclude either fewer than 74% of all voters prefer the Democratic candidate or more than 74% of all voters prefer the Democratic candidate. O There is a 44.42% chance that the percent of all voters who prefer the Democratic candidate differs from 74%. O There is a 44.42% chance of a Type I error. i. Interpret the level of significance in the context of the study. O There is a 10% chance that the proportion of voters who prefer the Democratic candidate is different from 74%. O There is a 10% chance that the earth is flat and we never actually sent a man to the moon. OIf the population proportion of voters who prefer the Democratic candidate is 74% and if another 60 voters are surveyed then there would be a 10% chance that we would end up falsely concuding that the proportion of voters who prefer the Democratic candidate is different from 74% OIf the proportion of voters who prefer the Democratic candidate is different from 74% and if another 60 voters are surveyed then there would be a 10% chance that we would end up falsely concuding that the proportion of voters who prefer the Democratic candidate is equal to 74%. Hint: 000 000 DD F3 F4 F5 F7 FB F9 F10 F11 F12 # 24 3 4 7 8
Expert Solution
Step 1

As per our guidelines, we are allowed to answer three sub-parts only

The following information is provided: The sample size is N=60N = 60, the number of favorable cases is X=47X = 47, and the sample proportion is pˉ=XN=4760=0.7833\bar p = \frac{X}{N} = \frac{ 47}{ 60} = 0.7833, and the significance level is α=0.1\alpha = 0.1

(b)  Null and Alternative Hypotheses

The following null and alternative hypotheses need to be tested:

Ho:p=0.74Ho: p = 0.74

Ha:p  0.74 (proportion of voters who prefer Democratic candidate is significantly different from 74%)

This corresponds to a two-tailed test, for which a z-test for one population proportion needs to be used.

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