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: ? v Select an answer (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 smaller than 68% at a level of significance of a = 0.01. According to your sample, 31 out of 53
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.)
d. The p-value =
(Please show your answer to 4 decimal places.)
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 smaller than 68% at a = 0.01,
so there is sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is equal to 68%.
O The data suggest the population proportion is not significantly smaller than 68% at a = 0.01,
so there is not sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is smaller than 68%.
O The data suggest the populaton proportion is significantly smaller than 68% at a = 0.01, so
there is sufficient evidence to conclude that the proportion of voters who prefer the
Democratic candidate is smaller than 68%
h. Interpret the p-value in the context of the study.
OIf the sample proportion of voters who prefer the Democratic candidate is 59% and if another
53 voters are surveyed then there would be a 6.89% chance of concluding that fewer than 68%
of all voters surveyed prefer the Democratic candidate.
O There is a 6.89% chance that fewer than 68% of all voters prefer the Democratic candidate.
O There is a 68% chance of a Type I error.
O If the population proportion of voters who prefer the Democratic candidate is 68% and if
another 53 voters are surveyed then there would be a 6.89% chance fewer than 59% of the 53
voters surveyed prefer the Democratic candidate.
i. Interpret the level of significance in the context of the study.
O There is a 1% chance that the proportion of voters who prefer the Democratic candidate is
smaller than 68%.
Olf the population proportion of voters who prefer the Democratic candidate is 68% and if
another 53 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 smaller than
68%
O There is a 1% chance that the earth is flat and we never actually sent a man to the moon.
O If the proportion of voters who prefer the Democratic candidate is smaller than 68% and if
another 53 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 68%.
Transcribed Image Text:You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 68% at a level of significance of a = 0.01. According to your sample, 31 out of 53 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.) d. The p-value = (Please show your answer to 4 decimal places.) 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 smaller than 68% at a = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 68%. O The data suggest the population proportion is not significantly smaller than 68% at a = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 68%. O The data suggest the populaton proportion is significantly smaller than 68% at a = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 68% h. Interpret the p-value in the context of the study. OIf the sample proportion of voters who prefer the Democratic candidate is 59% and if another 53 voters are surveyed then there would be a 6.89% chance of concluding that fewer than 68% of all voters surveyed prefer the Democratic candidate. O There is a 6.89% chance that fewer than 68% of all voters prefer the Democratic candidate. O There is a 68% chance of a Type I error. O If the population proportion of voters who prefer the Democratic candidate is 68% and if another 53 voters are surveyed then there would be a 6.89% chance fewer than 59% of the 53 voters surveyed prefer the Democratic candidate. i. Interpret the level of significance in the context of the study. O There is a 1% chance that the proportion of voters who prefer the Democratic candidate is smaller than 68%. Olf the population proportion of voters who prefer the Democratic candidate is 68% and if another 53 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 smaller than 68% O There is a 1% chance that the earth is flat and we never actually sent a man to the moon. O If the proportion of voters who prefer the Democratic candidate is smaller than 68% and if another 53 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 68%.
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