Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.
Upper H 0H0:
pequals=0.40.4
versus
Upper H 1H1:
pgreater than>0.40.4
nequals=125125;
xequals=5555,
alphaαequals=0.050.05
Is
np 0 left parenthesis 1 minus p 0 right parenthesisnp01−p0greater than or equals≥10?
No
Yes
Use technology to find the P-value.
P-valueequals=nothing
(Round to three decimal places as needed.)
▼
Do not reject
Reject
the null hypothesis, because the P-value is
▼
less
greater
than
alphaα.
We have n = 125, x = 55,
The hypothesis are:
H0: P = 0.4 v/s H1: P > 0.4
Here nP = 125*0.4 = 50 > 10, n(1-P) = 125 * 0.6 = 75 > 10
The test statistic is,
= 0.91
p value = p ( z > 0.91 )
= 1 - p ( z 0.91 )
= 1 - 0.8186 -----------( using excel formula "=norm.s.dist(0.91,1)" )
= 0.1814
Here p value >
Hence we do not reject null hypothesis.
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