You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 65% at a level of significance of αα = 0.01. According to your sample, 39 out of 55 potential voters prefer the Democratic candidate. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly different from 65% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 65% The data suggest the population proportion is not significantly different from 65% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 65%. The data suggest the population proportion is not significantly different from 65% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 65%. Interpret the p-value in the context of the study. There is a 35.82% chance of a Type I error. There is a 35.82% chance that the percent of all voters who prefer the Democratic candidate differs from 65%. If the sample proportion of voters who prefer the Democratic candidate is 70% and if another 55 voters are surveyed then there would be a 35.82% chance that we would conclude either fewer than 65% of all voters prefer the Democratic candidate or more than 65% of all voters prefer the Democratic candidate. If the population proportion of voters who prefer the Democratic candidate is 65% and if another 55 voters are surveyed then there would be a 35.82% chance that either more than 70% of the 55 voters surveyed prefer the Democratic candidate or fewer than 60% of the 55 voters surveyed prefer the Democratic candidate. Interpret the level of significance in the context of the study. If the population proportion of voters who prefer the Democratic candidate is 65% and if another 55 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 different from 65% There is a 1% chance that the proportion of voters who prefer the Democratic candidate is different from 65%. If the proportion of voters who prefer the Democratic candidate is different from 65% and if another 55 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 65%. There is a 1% chance that the earth is flat and we never actually sent a man to the moon.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
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You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 65% at a level of significance of αα = 0.01. According to your sample, 39 out of 55 potential voters prefer the Democratic candidate.

  1. Thus, the final conclusion is that ...
    • The data suggest the populaton proportion is significantly different from 65% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 65%
    • The data suggest the population proportion is not significantly different from 65% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 65%.
    • The data suggest the population proportion is not significantly different from 65% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 65%.
  2. Interpret the p-value in the context of the study.
    • There is a 35.82% chance of a Type I error.
    • There is a 35.82% chance that the percent of all voters who prefer the Democratic candidate differs from 65%.
    • If the sample proportion of voters who prefer the Democratic candidate is 70% and if another 55 voters are surveyed then there would be a 35.82% chance that we would conclude either fewer than 65% of all voters prefer the Democratic candidate or more than 65% of all voters prefer the Democratic candidate.
    • If the population proportion of voters who prefer the Democratic candidate is 65% and if another 55 voters are surveyed then there would be a 35.82% chance that either more than 70% of the 55 voters surveyed prefer the Democratic candidate or fewer than 60% of the 55 voters surveyed prefer the Democratic candidate.
  3. Interpret the level of significance in the context of the study.
    • If the population proportion of voters who prefer the Democratic candidate is 65% and if another 55 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 different from 65%
    • There is a 1% chance that the proportion of voters who prefer the Democratic candidate is different from 65%.
    • If the proportion of voters who prefer the Democratic candidate is different from 65% and if another 55 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 65%.
    • There is a 1% chance that the earth is flat and we never actually sent a man to the moon.
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