You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 50% at a level of significance of a = 0.01. According to your sample, 32 out of 61 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: ? v Select an answer v (please enter a decimal) H1: ? v| Select an answer v (Please enter a decimal) c. The test statistic ? v (please show your answer to 3 decimal places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is
significantly larger than 50% at a level of significance of a = 0.01. According to your sample, 32 out of 61
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 v
(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.)
%3D
e. The p-value is ? v a
f. Based on this, we should Select an answer v the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the population proportion is not significantly larger than 50% at a = 0.01, so
there is sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is equal to 50%.
O The data suggest the population proportion is not significantly larger than 50% 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 50%.
O The data suggest the populaton proportion is significantly larger than 50% at a = 0,01, so
there is sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is larger than 50%
h. Interpret the p-value in the context of the study.
O There is a 35.04% chance of a Type I error.
If the sample proportion of voters who prefer the Democratic candidate is 52% and if another
61 voters are surveyed then there would be a 35.04% chance of concluding that more than 50%
of all voterS surveyed prefer the Democratic candidate.
There is a 35.04% chance that more than 50S of all voters prefer the Democratic candidate.
$3
Transcribed Image Text:You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 50% at a level of significance of a = 0.01. According to your sample, 32 out of 61 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 v (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.) %3D e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly larger than 50% at a = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 50%. O The data suggest the population proportion is not significantly larger than 50% 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 50%. O The data suggest the populaton proportion is significantly larger than 50% at a = 0,01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 50% h. Interpret the p-value in the context of the study. O There is a 35.04% chance of a Type I error. If the sample proportion of voters who prefer the Democratic candidate is 52% and if another 61 voters are surveyed then there would be a 35.04% chance of concluding that more than 50% of all voterS surveyed prefer the Democratic candidate. There is a 35.04% chance that more than 50S of all voters prefer the Democratic candidate. $3
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