SOLUTION: In the year 2010, in a sample of 200 workers, 18% of Canadians indicate that they have
taken time off work due to personal mental health issues. In the year 1990, a similar
study
Algebra ->
Testmodule
-> SOLUTION: In the year 2010, in a sample of 200 workers, 18% of Canadians indicate that they have
taken time off work due to personal mental health issues. In the year 1990, a similar
study
Log On
Question 1203742: In the year 2010, in a sample of 200 workers, 18% of Canadians indicate that they have
taken time off work due to personal mental health issues. In the year 1990, a similar
study was conducted and found that in a sample of 200 workers, 7% of Canadians
indicated that they have taken time off work due to personal mental health conditions.
a) Are the proportions of Canadians who take time off work due to personal mental
health issue in 2010 is different than the proportion in 1990? Use α = 0.1. Use the
critical value approach.
b) Construct a 98% confidence interval for the difference in proportions Answer by Theo(13342) (Show Source):
calcuator says test alpha = .00086 which is significantly less than the critical alpha of .10.
this indicates the results are significant, meaning that the sample difference is more then likely real and not just a result of random differences in sample proportions.
the conclusion is that the proportions between 1990 and 2010 have changed, meaning that the different sample proportions are not due to random variations in sample proportions.
i checked the results manually and they agree with the calculator results that indicates the results are significant by a wide margin.
