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Statistics homework issues?
I'm not sure if I'm thinking about this the right way, but I'm confused.
"A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sale tax from 5% to 6%, with the additional revenue going to education. Let p-hat denote the proportion in the sample who say they support the increase. Suppose 40% of all adults in Ohio support the increase"
What is the mean of the sampling distribution of p-hat?
How can I find the mean? Would it just be the 40%/1500?
1 Answer
- Anonymous7 years ago
To find the "mean vote", you can say that there is a (40% * 1500)/(1500) chance they will vote yes, and a (1500*(1-40%)/1500 chance they will vote no.
This simplifies to:
(0.4 *1500)/1500 * (0.6*1500)/1500
= 0.24
Since this is less than 0.5, the majority would not vote yes, and a random voter has approximately 24% chance of voting yes.