For this study, we should use z test for a population proportion The null and alternative hypotheses would be:      Ho:p=  __?__(please enter a decimal)  H1:p equal to not equal to  __?__ (Please enter a decimal)   The test statistic z= __?__(please show your answer to 3 decimal places.) The p-value = __?__(Please show your answer to 4 decimal places.) The p-value is >α Based on this, we should fail to reject the null hypothesis. Thus, the final conclusion is that ... Please choose one below __The data suggest the population proportion is not significantly different from 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 populaton proportion is significantly different from 53% at α = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 53% __The data suggest the population proportion is not significantly different from 53% at α = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 53%.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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 different from 53% at a level of significance of α = 0.05. According to your sample, 32 out of 53 potential voters prefer the Democratic candidate.

    1. For this study, we should use z test for a population proportion
  1. The null and alternative hypotheses would be:    
     Ho:p=  __?__(please enter a decimal) 
  2. H1:p equal to not equal to  __?__ (Please enter a decimal)
     
    The test statistic z= __?__(please show your answer to 3 decimal places.)
    1. The p-value = __?__(Please show your answer to 4 decimal places.)
    2. The p-value is >α
    1. Based on this, we should fail to reject the null hypothesis.
  1. Thus, the final conclusion is that ... Please choose one below
    • __The data suggest the population proportion is not significantly different from 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 populaton proportion is significantly different from 53% at α = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 53%
    • __The data suggest the population proportion is not significantly different from 53% at α = 0.05, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 53%.
    •  
    Incorrect
  2. Interpret the p-value in the context of the study. Please choose one below
    • There is a 28.18% chance that the percent of all voters who prefer the Democratic candidate differs from 53%.
    • If the population proportion of voters who prefer the Democratic candidate is 53% and if another 53 voters are surveyed then there would be a 28.18% chance that either more than 60% of the 53 voters surveyed prefer the Democratic candidate or fewer than 46% of the 53 voters surveyed prefer the Democratic candidate.
    • There is a 28.18% chance of a Type I error.
    • If the sample proportion of voters who prefer the Democratic candidate is 60% and if another 53 voters are surveyed then there would be a 28.18% 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.
    •  
  3. Interpret the level of significance in the context of the study. Please choose one below
    • If the population proportion of voters who prefer the Democratic candidate is 53% and if another 53 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 from 53%
    • There is a 5% chance that the earth is flat and we never actually sent a man to the moon.
    • There is a 5% chance that the proportion of voters who prefer the Democratic candidate is different from 53%.
    • If the proportion of voters who prefer the Democratic candidate is different from 53% and if another 53 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%.
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