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To study poverty in the city of Halifax, researchers will randomly select 30 blocks from the...


To study poverty in the city of Halifax, researchers will randomly select 30 blocks from the city, then randomly select 10 households from each of those blocks to be interviewed, producing a total of 300 interviews. Based on the interviews, the families will be classified as living below poverty line or not. Refer to the computer output below and answer the following related questions.

i. (1 Mark) Based on the result of this study, how many families out of the 300 met the criterion for living below the poverty line?

ii. (2 Marks) What is the estimated standard error? Interpret this value in the context of this study.

iii. (2 Marks) What is the estimated margin of error? Interpret this value in the context of this problem.


iv. (2 Marks) What is the 95% confidence interval for the true proportion of families who do not live below the poverty line?

v. (3 Marks) Is there evidence to suggest that the true percentage of families living below the poverty line differ from 15%? Give a justification to your answer.


vi. (2 Marks) What is wrong with the approach (e.g., sampling method) used here?

  vii.       (2 Marks) Do you think that you have over or underestimated the true SE of the sample proportion? Explain your answer.

math   Statistics-And-Probability   
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