Solution:
a)
The null and alternative hypothesis are
H0 : p = 0.73
HA : p
0.73
b)
n = 140
x = 96
Let
be the sample proportion.
= x/n = 96/140 = 0.6857
The test statistic z is
z =
= (0.6857 - 0.73)/[0.73*(1
- 0.73)/140]
= -1.18
Test statistic is
-1.18
Now , we find p value .
sign in Ha indicates that the test is TWO TAILED
For TWO TAILED test ,
p value = P(Z < -z) + P(Z > +z) = P(Z < -1.18) + P(Z > +1.18) = 0.1190+0.1190= 0.238
p value is
0.238
{
Fail to reject H0
There is no evidence to reject the manager's claim
}
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