You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 62% at a level of significance of a = 0.05. According to your sample, 27 out of 50 potential voters prefer the Democratic candidate. a. For this study, we should use [z-test for a population proportion b. The null and alternative hypotheses would be: Ho: pv = 0.62 H₁: p V 0.62 (please enter a decimal) (Please enter a decimal) c. The test statistic z=-1.165 d. The p-value= e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) I(Please show your answer to 4 decimal places.)
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 62% at a level of significance of a = 0.05. According to your sample, 27 out of 50 potential voters prefer the Democratic candidate. a. For this study, we should use [z-test for a population proportion b. The null and alternative hypotheses would be: Ho: pv = 0.62 H₁: p V 0.62 (please enter a decimal) (Please enter a decimal) c. The test statistic z=-1.165 d. The p-value= e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) I(Please show your answer to 4 decimal places.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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#3
Microsoft Word -...
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is
significantly different from 62% at a level of significance of a = 0.05. According to your sample, 27 out of
50 potential voters prefer the Democratic candidate.
E
a. For this study, we should use [z-test for a population proportion
b. The null and alternative hypotheses would be:
Ho: p=
✓0.62
(please enter a decimal)
H₁: p
(Please enter a decimal)
c. The test statistic z = -1.165 (please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
d. The p-value = Ï
e. The p-value is ? a
f. Based on this, we should Select an answer the null hypothesis.
g. Thus, the final conclusion is that ...
80
F3
O The data suggest the populaton proportion is significantly different from 62% at a = 0.05, so
there is sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is different from 62%
O The data suggest the population proportion is not significantly different from 62% at a = 0.05,
so there is sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is equal to 62%.
O The data suggest the population proportion is not significantly different from 62% at a = 0.05,
so there is not sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is different from 62%.
h. Interpret the p-value in the context of the study.
O There is a 24.38% chance that the percent of all voters who prefer the Democratic candidate
differs from 62%.
O There is a 24.38% chance of a Type I error.
O If the sample proportion of voters who prefer the Democratic candidate is 53% and if another
50 voters are surveyed then there would be a 24.38% chance that we would conclude either
fewer than 62% of all voters prefer the Democratic candidate or more than 62% of all voters
prefer the Democratic candidate.
O If the population proportion of voters who prefer the Democratic candidate is 62% and if
another 50 voters are surveyed then there would be a 24.38% chance that either fewer than
53% of the 50 voters surveyed prefer the Democratic candidate or more than 71% of the 50
voters surveyed prefer the Democratic candidate.
i. Interpret the level of significance in the context of the study.
✓0.62
O If the proportion of voters who prefer the Democratic candidate is different from 62% and if
another 50 voters are surveyed then there would be a 5% chance that we would end up falsely
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Transcribed Image Text:Os
#3
Microsoft Word -...
You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is
significantly different from 62% at a level of significance of a = 0.05. According to your sample, 27 out of
50 potential voters prefer the Democratic candidate.
E
a. For this study, we should use [z-test for a population proportion
b. The null and alternative hypotheses would be:
Ho: p=
✓0.62
(please enter a decimal)
H₁: p
(Please enter a decimal)
c. The test statistic z = -1.165 (please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
d. The p-value = Ï
e. The p-value is ? a
f. Based on this, we should Select an answer the null hypothesis.
g. Thus, the final conclusion is that ...
80
F3
O The data suggest the populaton proportion is significantly different from 62% at a = 0.05, so
there is sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is different from 62%
O The data suggest the population proportion is not significantly different from 62% at a = 0.05,
so there is sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is equal to 62%.
O The data suggest the population proportion is not significantly different from 62% at a = 0.05,
so there is not sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is different from 62%.
h. Interpret the p-value in the context of the study.
O There is a 24.38% chance that the percent of all voters who prefer the Democratic candidate
differs from 62%.
O There is a 24.38% chance of a Type I error.
O If the sample proportion of voters who prefer the Democratic candidate is 53% and if another
50 voters are surveyed then there would be a 24.38% chance that we would conclude either
fewer than 62% of all voters prefer the Democratic candidate or more than 62% of all voters
prefer the Democratic candidate.
O If the population proportion of voters who prefer the Democratic candidate is 62% and if
another 50 voters are surveyed then there would be a 24.38% chance that either fewer than
53% of the 50 voters surveyed prefer the Democratic candidate or more than 71% of the 50
voters surveyed prefer the Democratic candidate.
i. Interpret the level of significance in the context of the study.
✓0.62
O If the proportion of voters who prefer the Democratic candidate is different from 62% and if
another 50 voters are surveyed then there would be a 5% chance that we would end up falsely
$
4
F4
R
%
5
F5
T
6
MacBook Air
Y
&
7
8
◄◄
F7
C
00 *
8
DII
F8
(
9
DD
F9
O
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O
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