SOLUTION: A study given in previous years showed that 25% of people voted in cities, 45% voted in rural areas, and 30% voted overseas. A most recent study of 100 persons shows that 35 of

Algebra ->  Probability-and-statistics -> SOLUTION: A study given in previous years showed that 25% of people voted in cities, 45% voted in rural areas, and 30% voted overseas. A most recent study of 100 persons shows that 35 of       Log On


   

Question 1198283: A study given in previous years showed that 25% of people voted in cities, 45% voted in rural areas, and 30% voted overseas. A most recent study of 100 persons shows that 35 of them voted in cities, 27 in rural areas, and 38 voted while overseas.
At 0.05 level, what of the following can be concluded? Choose one of the following.
A) The test value is greater than the critical value, the proportions differ.
B) The test value is less than the critical value, the proportions differ
C) The test value is greater than the critical value, the proportions do not differ.
D) The test value is less than the critical value, the proportions do not differ.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Claim: 25% of people voted in cities, 45% voted in rural areas, and 30% voted overseas.
A most recent study of 100 persons:
35 of them voted in cities, 27 in rural areas, and 38 voted while overseas.
>>>>>>>>>>
Comparing Rural voting to see if there is validity to the differences.
Ho: p = .45
Ha: p ≠ .45
two-sided. Using 95% CI, the critical value = 1.96
test statistic is
z = z+=blue+%28x+-+mu%29%2Fsqrt%28blue%28p%281-p%29%2Fn%29%29= z+=blue+%28%28.27-.45%29%29%2Fsqrt%28blue%28.45%28.55%29%2F100%29%29 = -3.6181
|-3.6181| > 1.96
Proceed to Use 'difference' comparison
Ho: p%5Bc%5D+-+p%5Bs%5D = 0
Ha: p%5Bc%5D+-+p%5Bs%5D+≠ 0