Question 293128: A state weights-and-measures standard requires that no more than 5 percent of bags of Halloween candy be underweight.A random sample of 200 bags showed that 16 were underweight. (a) At α = .025, is the standard being violated? Use a right-tailed test and showyourwork. (b) Find the p-value.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A state weights-and-measures standard requires that no more than 5 percent of bags of Halloween candy be underweight.A random sample of 200 bags showed that 16 were underweight. (a) At α = .025, is the standard being violated? Use a right-tailed test and showyourwork. (b) Find the p-value.
-------------
Ho: p = 0.05
Ha: p > 0.05
test statistic: z(16/200) = (0.08-0.05)/sqrt(0.05*0.95/200) = 1.9467
---
p-value = P(z > 1.9467) = 0.0258
----------------------------------
Since the p-value is greater than alpha, fail to reject Ho.
----------------
Cheers,
Stan H.
|
|
|
