f. Based on this, we should reject g. Thus, the final conclusion is that ... X the null hypothesis. X 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% The data suggest the population proportion is not significantly different from 62% at x = 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%. X 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. 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.

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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Related questions
Question
C
f. Based on this, we should reject
g. Thus, the final conclusion is that ...
the null hypothesis.
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%
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%.
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%.
X
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.
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.
OP
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.
X
i. Interpret the level of significance in the context of the study.
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
concluding that the proportion of voters who prefer the Democratic candidate is equal to 62%.
O There is a 5% chance that the earth is flat and we never actually sent a man to the moon.
O There is a 5% chance that the proportion of voters who prefer the Democratic candidate is
different from 62%.
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 5% chance that we would end up falsely
concluding that the proportion of voters who prefer the Democratic candidate is different from
62%
Transcribed Image Text:C f. Based on this, we should reject g. Thus, the final conclusion is that ... the null hypothesis. 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% 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%. 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%. X 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. 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. OP 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. X i. Interpret the level of significance in the context of the study. 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 concluding that the proportion of voters who prefer the Democratic candidate is equal to 62%. O There is a 5% chance that the earth is flat and we never actually sent a man to the moon. O There is a 5% chance that the proportion of voters who prefer the Democratic candidate is different from 62%. 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 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is different from 62%
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
O
O
H₁: pv #
OF
c. The test statistic z
O
O
0.62
✓(please enter a decimal)
f. Based on this, we should reject
g. Thus, the final conclusion is that
(Please enter a decimal)
= -1.165 (please show your answer to 3 decimal places.)
d. The p-value = 0.1248 x (Please show your answer to 4 decimal places.)
e. The p-value is > ✓ a
1x the null hypothesis.
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%
the population proportion is not significantly different from 62% at α = 0.05,
profor the
Transcribed Image Text: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 O O H₁: pv # OF c. The test statistic z O O 0.62 ✓(please enter a decimal) f. Based on this, we should reject g. Thus, the final conclusion is that (Please enter a decimal) = -1.165 (please show your answer to 3 decimal places.) d. The p-value = 0.1248 x (Please show your answer to 4 decimal places.) e. The p-value is > ✓ a 1x the null hypothesis. 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% the population proportion is not significantly different from 62% at α = 0.05, profor the
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