Question 948885: A study given in previous years showed that 25% of people voted in cities, 45% voted in rural areas, and 30% voted overseas. A more recent study of 100 individuals show that 35 of them voted in cities, 27 in rural areas, and 38 voted while overseas.
a) What type of distribution is used to analyze the difference in the proportions? 1. Normal distribution 2. T distribution 3. Chi distribution 4. Binomial distribution
b) What is the appropriate test value for this difference?
c) At .05 level, can we conclude that the proportion differ or do not differ?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A study given in previous years showed that 25% of people voted in cities, 45% voted in rural areas, and 30% voted overseas. A more recent study of 100 individuals show that 35 of them voted in cities, 27 in rural areas, and 38 voted while overseas.
a) What type of distribution is used to analyze the difference in the proportions? 1. Normal distribution 2. T distribution 3. Chi distribution 4. Binomial distribution
Ans: Chi Sq. distribution
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b) What is the appropriate test value for this difference?
I ran a Chi-Sq Test against the data and got Chi-Sq = 7.11
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c) At .05 level, can we conclude that the proportion differ or do not differ?
Since the p-value is 0.0286 and is less than 5%, so we reject the null hypothesis::
Ho: The proportions are the same.
Ha: The proportions are different.
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Cheers,
Stan H.
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