You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 62% at a level of significance of � = 0.01. According to your sample, 54 out of 89 potential voters prefer the Democratic candidate. For this study, we should use    Correct The null and alternative hypotheses would be:      Ho:    Correct      Correct Incorrect (please enter a decimal)     H1:    Correct      Incorrect Incorrect (Please enter a decimal) The test statistic    Correct = Incorrect (please show your answer to 3 decimal places.) The p-value = Incorrect (Please show your answer to 4 decimal places.) The p-value is    Correct � Based on this, we should     Correct the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly smaller than 62% at � = 0.01, 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 smaller than 62% at � = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 62%. The data suggest the populaton proportion is significantly smaller than 62% at � = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 62% Incorrect Interpret the p-value in the context of the study.  There is a 62% chance of a Type I error. If the sample proportion of voters who prefer the Democratic candidate is 61% and if another 89 voters are surveyed then there would be a 39.83% chance of concluding that fewer than 62% of all voters surveyed prefer the Democratic candidate. There is a 39.83% chance that fewer than 62% of all voters prefer the Democratic candidate. If the population proportion of voters who prefer the Democratic candidate is 62% and if another 89 voters are surveyed then there would be a 39.83% chance fewer than 61% of the 89 voters surveyed prefer the Democratic candidate. Correct Interpret the level of significance in the context of the study. If the proportion of voters who prefer the Democratic candidate is smaller than 62% and if another 89 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 62%. There is a 1% chance that the proportion of voters who prefer the Democratic candidate is smaller than 62%. There is a 1% chance that the earth is flat and we never actually sent a man to the moon. If the population proportion of voters who prefer the Democratic candidate is 62% and if another 89 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 62%

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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 62% at a level of significance of � = 0.01. According to your sample, 54 out of 89 potential voters prefer the Democratic candidate.

  1. For this study, we should use    Correct
  2. The null and alternative hypotheses would be:    
     Ho:    Correct      Correct Incorrect (please enter a decimal)   
     H1:    Correct      Incorrect Incorrect (Please enter a decimal)
  1. The test statistic    Correct = Incorrect (please show your answer to 3 decimal places.)
  2. The p-value = Incorrect (Please show your answer to 4 decimal places.)
  3. The p-value is    Correct �
  4. Based on this, we should     Correct the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest the population proportion is not significantly smaller than 62% at � = 0.01, 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 smaller than 62% at � = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 62%.
    • The data suggest the populaton proportion is significantly smaller than 62% at � = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 62%
    Incorrect
  6. Interpret the p-value in the context of the study.
    •  There is a 62% chance of a Type I error.
    • If the sample proportion of voters who prefer the Democratic candidate is 61% and if another 89 voters are surveyed then there would be a 39.83% chance of concluding that fewer than 62% of all voters surveyed prefer the Democratic candidate.
    • There is a 39.83% chance that fewer than 62% of all voters prefer the Democratic candidate.
    • If the population proportion of voters who prefer the Democratic candidate is 62% and if another 89 voters are surveyed then there would be a 39.83% chance fewer than 61% of the 89 voters surveyed prefer the Democratic candidate.
    Correct
  7. Interpret the level of significance in the context of the study.
    • If the proportion of voters who prefer the Democratic candidate is smaller than 62% and if another 89 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 62%.
    • There is a 1% chance that the proportion of voters who prefer the Democratic candidate is smaller than 62%.
    • There is a 1% chance that the earth is flat and we never actually sent a man to the moon.
    • If the population proportion of voters who prefer the Democratic candidate is 62% and if another 89 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 62%
    •  
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