Question: You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 64% at a level

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 64% at a level of significance of = 0.10. According to your sample, 51 out of 74 potential voters prefer the Democratic candidate.

  1. For this study, we should use Select an answer (z-test for a population proportion, t-test for a population mean )
  2. The null and alternative hypotheses would be: Ho: (? p ) Select an answer (= < >) ________ (please enter a decimal) H1: ? p Select an answer (= > < )_________ (Please enter a decimal)
  3. The test statistic (? t z) =_________ (please show your answer to 3 decimal places.)
  4. The p-value = _________ (Please show your answer to 4 decimal places.)
  5. The p-value is (? > )
  6. Based on this, we should Select an answer (reject, fail to reject, accept) the null hypothesis.
  7. Thus, the final conclusion is that ...
  8. Interpret the p-value in the context of the study.
  9. Interpret the level of significance in the context of the study.

  1. If the population proportion of voters who prefer the Democratic candidate is 64% and if another 74 voters are surveyed then there would be a 10% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is different from 64%
  2. If the proportion of voters who prefer the Democratic candidate is different from 64% and if another 74 voters are surveyed then there would be a 10% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 64%.
  3. There is a 10% chance that the earth is flat and we never actually sent a man to the moon.
  4. There is a 10% chance that the proportion of voters who prefer the Democratic candidate is different from 64%
  5. There is a 37.8% chance of a Type I error.
  6. If the sample proportion of voters who prefer the Democratic candidate is 69% and if another 74 voters are surveyed then there would be a 37.8% chance that we would conclude either fewer than 64% of all voters prefer the Democratic candidate or more than 64% of all voters prefer the Democratic candidate.
  7. There is a 37.8% chance that the percent of all voters who prefer the Democratic candidate differs from 64%.
  8. If the population proportion of voters who prefer the Democratic candidate is 64% and if another 74 voters are surveyed then there would be a 37.8% chance that either more than 69% of the 74 voters surveyed prefer the Democratic candidate or fewer than 59% of the 74 voters surveyed prefer the Democratic candidate.
  9. The data suggest the population proportion is not significantly different from 64% at = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 64%
  10. The data suggest the populaton proportion is significantly different from 64% at = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 64
  11. The data suggest the population proportion is not significantly different from 64% at = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 64%.

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