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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 75% at a level

You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 75% at a level of significance of = 0.10. According to your sample, 62 out of 80 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 accept fail to reject reject 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.

  • If the population proportion of voters who prefer the Democratic candidate is 75% and if another 80 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 75%
  • If the proportion of voters who prefer the Democratic candidate is different from 75% and if another 80 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 75%.
  • There is a 10% chance that the proportion of voters who prefer the Democratic candidate is different from 75%.
  • There is a 10% chance that the earth is flat and we never actually sent a man to the moon.

  • There is a 60.56% chance of a Type I error.
  • If the sample proportion of voters who prefer the Democratic candidate is 77% and if another 80 voters are surveyed then there would be a 60.56% chance that we would conclude either fewer than 75% of all voters prefer the Democratic candidate or more than 75% of all voters prefer the Democratic candidate.
  • There is a 60.56% chance that the percent of all voters who prefer the Democratic candidate differs from 75%.
  • If the population proportion of voters who prefer the Democratic candidate is 75% and if another 80 voters are surveyed then there would be a 60.56% chance that either more than 77% of the 80 voters surveyed prefer the Democratic candidate or fewer than 73% of the 80 voters surveyed prefer the Democratic candidate.

  • The data suggest the population proportion is not significantly different from 75% at = 0.10, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 75%.
  • The data suggest the population proportion is not significantly different from 75% at = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 75%.
  • The data suggest the populaton proportion is significantly different from 75% at = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 75%

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