Question 1163240: Consider the following hypotheses:
H0: p ≥ 0.47
HA: p < 0.47
Compute the p-value based on the following sample information. (You may find it useful to reference the appropriate table: z table or t table) (Round "z" value to 2 decimal places. Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
p¯ = 0.38; n = 53
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! z=(phat-p)/sqrt(p*(1-p)/n)
=-0.09/sqrt(.47*.53/53)
=-0.09/0.0686
=-1.312 or -1.31
prob of z<-1.31 is 0.0951 and that is the p-value
There is a problem here and that is the original data is 20/53, since a non-integer value for proportions can't be used. 0.38 is the rounded proportion, but the true value is 0.377
This makes the z-value -1.35 and the p-value 0.0882
You might want to check this with your instructor. The sample proportion is rounded considerably, so that not rounding until the end is still a problem with the initial rounding. If this were discussed, then there should be no issue.
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