A news article that you read stated that 53% of voters prefer the Democratic candidate. You think that the actual percent is different. 121 of the 257 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance? 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 different 53% at αα = 0.05, 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 population proportion is not significantly different 53% at αα = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different 53%. The data suggest the populaton proportion is significantly different 53% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different 53% Interpret the p-value in the context of the study. If the population proportion of voters who prefer the Democratic candidate is 53% and if another 257 voters are surveyed then there would be a 5.74% chance that either fewer than 47% of the 257 voters surveyed prefer the Democratic candidate or more than 59% of the 257 voters surveyed prefer the Democratic candidate. If the sample proportion of voters who prefer the Democratic candidate is 47% and if another 257 voters are surveyed then there would be a 5.74% chance that we would conclude either fewer than 53% of all voters prefer the Democratic candidate or more than 53% of all voters prefer the Democratic candidate. There is a 5.74% chance that the percent of all voters who prefer the Democratic candidate differs from 53%. There is a 5.74% chance of a Type I error. Interpret the level of significance in the context of the study. If the proportion of voters who prefer the Democratic candidate is different 53% and if another 257 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 53%. There is a 5% 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 53% and if another 257 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is different 53% There is a 5% chance that the proportion of voters who prefer the Democratic candidate is different 53%.

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Author:Amos Gilat
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A news article that you read stated that 53% of voters prefer the Democratic candidate. You think that the actual percent is different. 121 of the 257 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.05 level of significance?

  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 different 53% at αα = 0.05, 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 population proportion is not significantly different 53% at αα = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different 53%.
    • The data suggest the populaton proportion is significantly different 53% at αα = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different 53%
  6. Interpret the p-value in the context of the study.
    • If the population proportion of voters who prefer the Democratic candidate is 53% and if another 257 voters are surveyed then there would be a 5.74% chance that either fewer than 47% of the 257 voters surveyed prefer the Democratic candidate or more than 59% of the 257 voters surveyed prefer the Democratic candidate.
    • If the sample proportion of voters who prefer the Democratic candidate is 47% and if another 257 voters are surveyed then there would be a 5.74% chance that we would conclude either fewer than 53% of all voters prefer the Democratic candidate or more than 53% of all voters prefer the Democratic candidate.
    • There is a 5.74% chance that the percent of all voters who prefer the Democratic candidate differs from 53%.
    • There is a 5.74% chance of a Type I error.
  7. Interpret the level of significance in the context of the study.
    • If the proportion of voters who prefer the Democratic candidate is different 53% and if another 257 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is equal to 53%.
    • There is a 5% 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 53% and if another 257 voters are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of voters who prefer the Democratic candidate is different 53%
    • There is a 5% chance that the proportion of voters who prefer the Democratic candidate is different 53%.

 

 

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