You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly smaller than 53% at a level of significance of αα = 0.01. According to your sample, 44 out of 98 potential voters prefer the Democratic candidate. For this study, we should use     The null and alternative hypotheses would be:      Ho:            (please enter a decimal)     H1:            (Please enter a decimal) The test statistic     =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is     αα Based on this, we should      the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly smaller than 53% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 53%. The data suggest the populaton proportion is significantly smaller than 53% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 53% The data suggest the population proportion is not significantly smaller than 53% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 53%. Interpret the p-value in the context of the study.  There is a 53% chance of a Type I error. If the sample proportion of voters who prefer the Democratic candidate is 45% and if another 98 voters are surveyed then there would be a 5.4% chance of concluding that fewer than 53% of all voters surveyed prefer the Democratic candidate. If the population proportion of voters who prefer the Democratic candidate is 53% and if another 98 voters are surveyed then there would be a 5.4% chance fewer than 45% of the 98 voters surveyed prefer the Democratic candidate. There is a 5.4% chance that fewer than 53% of all voters prefer the Democratic candidate. Interpret the level of significance in the context of the study. There is a 1% chance that the earth is flat and we never actually sent a man to the moon. If the proportion of voters who prefer the Democratic candidate is smaller than 53% and if another 98 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 53%. If the population proportion of voters who prefer the Democratic candidate is 53% and if another 98 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 53% There is a 1% chance that the proportion of voters who prefer the Democratic candidate is smaller than 53%.

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 53% at a level of significance of αα = 0.01. According to your sample, 44 out of 98 potential voters prefer the Democratic candidate.

  1. For this study, we should use    
  2. The null and alternative hypotheses would be:    
     Ho:            (please enter a decimal)   
     H1:            (Please enter a decimal)
  1. The test statistic     =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is     αα
  4. Based on this, we should      the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest the population proportion is not significantly smaller than 53% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 53%.
    • The data suggest the populaton proportion is significantly smaller than 53% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 53%
    • The data suggest the population proportion is not significantly smaller than 53% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is smaller than 53%.
  6. Interpret the p-value in the context of the study.
    •  There is a 53% chance of a Type I error.
    • If the sample proportion of voters who prefer the Democratic candidate is 45% and if another 98 voters are surveyed then there would be a 5.4% chance of concluding that fewer than 53% of all voters surveyed prefer the Democratic candidate.
    • If the population proportion of voters who prefer the Democratic candidate is 53% and if another 98 voters are surveyed then there would be a 5.4% chance fewer than 45% of the 98 voters surveyed prefer the Democratic candidate.
    • There is a 5.4% chance that fewer than 53% of all voters prefer the Democratic candidate.
  7. Interpret the level of significance in the context of the study.
    • There is a 1% chance that the earth is flat and we never actually sent a man to the moon.
    • If the proportion of voters who prefer the Democratic candidate is smaller than 53% and if another 98 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 53%.
    • If the population proportion of voters who prefer the Democratic candidate is 53% and if another 98 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 53%
    • There is a 1% chance that the proportion of voters who prefer the Democratic candidate is smaller than 53%.
    •  
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