Posted by monica on Tuesday, November 9, 2010 at 4:19pm.
Null hypothesis:
Ho: p = or > .40 -->meaning: population proportion is equal to or greater than .40
Alternative hypothesis:
Ha: p < .40 -->meaning: population proportion is less than .40
Using a formula for a binomial proportion one-sample z-test with your data included, we have:
z = .39 - .40 -->test value (133/337 = .39) minus population value (.40)
divided by √[(.40)(.60)/337]
Note: .60 = 1 - .40
I'll let you finish the calculation.
Hint: Null will not be rejected. You can draw your conclusion from there.
In a recent survey, 70% of the community favored building a haelth center in their neighborhood. If 14 citizens are chosen, find the probabilty that exactl 6 of them favore the building of the health center.
On your TI-84 Calculator Press "2nd" "VARS" for the [Distr] menu. Scroll down to binompdf( and press enter
Then enter in this order
binompdf(14,0.70,6) = 0.023
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