You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 74% at a level of significance of a = 0.01. According to your sample, 70 out of 91 potential voters prefer the Democratic candidate. a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer ♥ (please enter a decimal) H1: ? Select an answer ♥ (Please enter a decimal) c. The test statistic (please show your answer to 3 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
icon
Related questions
Question

please answer a, b, c

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is
significantly larger than 74% at a level of significance of a = 0.01. According to your sample, 70 out of 91
potential voters prefer the Democratic candidate.
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho: ? Select an answer ♥
|(please enter a decimal)
H1:
Select an answer
(Please enter a decimal)
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 ? a
f. Based on this, we should Select an answer ♥ the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the populaton proportion is significantly larger than 74% at a = 0.01, so
there is sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is larger than 74%
The data suggest the population proportion is not significantly larger than 74% at a = 0.01, so
there is not sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is larger than 74%.
O The data suggest the population proportion is not significantly larger than 74% at a = 0.01, 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.
O There is a 26.25% chance that more than 74% of all voters prefer the Democratic candidate.
There is a 26.25% chance of a Type I error.
O f the population proportion of voters who prefer the Democratic candidate is 74% and if
another 91 voters are surveyed then there would be a 26.25% chance that more than 77% of
the 91 voters surveyed prefer the Democratic candidate.
O f the sample proportion of voters who prefer the Democratic candidate is 77% and if another
91 voters are surveyed then there would be a 26.25% chance of concluding that more than
74% of all voters surveyed prefer the Democratic candidate.
i. Interpret the level of significance in the context of the study.
O If the proportion of voters who prefer the Democratic candidate is larger than 74% and if
another 91 voters are surveyed then there would be a 1% chance that we would end up falsely
concluding that the proportion of voters who prefer the Democratic candidate is equal to
74%.
O There is a 1% chance that the earth is flat and we never actually sent a man to the moon.
O If the population proportion of voters who prefer the Democratic candidate is 74% and if
another 91 voters are surveyed then there would be a 1% chance that we would end up falsely
concluding that the proportion of voters who prefer the Democratic candidate is larger than
74%
O There is a 1% chance that the proportion of voters who prefer the Democratic candidate is
larger than 74%.
Transcribed Image Text:You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 74% at a level of significance of a = 0.01. According to your sample, 70 out of 91 potential voters prefer the Democratic candidate. a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer ♥ |(please enter a decimal) H1: Select an answer (Please enter a decimal) 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 ? a f. Based on this, we should Select an answer ♥ the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton proportion is significantly larger than 74% at a = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 74% The data suggest the population proportion is not significantly larger than 74% at a = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 74%. O The data suggest the population proportion is not significantly larger than 74% at a = 0.01, 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. O There is a 26.25% chance that more than 74% of all voters prefer the Democratic candidate. There is a 26.25% chance of a Type I error. O f the population proportion of voters who prefer the Democratic candidate is 74% and if another 91 voters are surveyed then there would be a 26.25% chance that more than 77% of the 91 voters surveyed prefer the Democratic candidate. O f the sample proportion of voters who prefer the Democratic candidate is 77% and if another 91 voters are surveyed then there would be a 26.25% chance of concluding that more than 74% of all voters surveyed prefer the Democratic candidate. i. Interpret the level of significance in the context of the study. O If the proportion of voters who prefer the Democratic candidate is larger than 74% and if another 91 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 74%. O There is a 1% chance that the earth is flat and we never actually sent a man to the moon. O If the population proportion of voters who prefer the Democratic candidate is 74% and if another 91 voters are surveyed then there would be a 1% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is larger than 74% O There is a 1% chance that the proportion of voters who prefer the Democratic candidate is larger than 74%.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman