Only 19% of registered voters voted in the last election. Will voter participation decline for the upcoming election? Of the 321 randomly selected registered voters surveyed, 45 of them will vote in the upcoming election. What can be concluded at the αα = 0.10 level of significance?

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
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Only 19% of registered voters voted in the last election. Will voter participation decline for the upcoming election? Of the 321 randomly selected registered voters surveyed, 45 of them will vote in the upcoming election. What can be concluded at the αα = 0.10 level of significance?

  1. For this study, we should use :  t-test for a population mean or z-test for a population proportion 
  2. The null and alternative hypotheses would be:     

 H0:H0:  ? p μ  Select an answer < ≠ > =   (please enter a decimal)   

 H1:H1:  ? μ p  Select an answer > < = ≠   (Please enter a decimal)

  1. The test statistic ? t or z  =  (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:   fail to reject, reject or accept  the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest the population proportion is not significantly lower than 19% at αα = 0.10, so there is statistically significant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be equal to 19%.
    • The data suggest the populaton proportion is significantly lower than 19% at αα = 0.10, so there is statistically significant evidence to conclude that the the percentage of all registered voters who will vote in the upcoming election will be lower than 19%.
    • The data suggest the population proportion is not significantly lower than 19% at αα = 0.10, so there is statistically insignificant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be lower than 19%.
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