Calculate the value of the test statistic, set up the rejection region, determine the p-value, interpret the result, and draw the sampling distribution.
H0: ? = 1000
H1: ? doesn't equal 1000
? = 200
n = 100
?̅ = 980
∝ = 0.01
Solution :
This is the two tailed test .
The null and alternative hypothesis is ,
H0 : =1000
Ha : 1000
Test statistic = z
= ( - ) / / n
= (980-1000) / 200 / 100
Test statistic = -1
P(z <-1 ) = 0.1587
P-value = 2*0.1587=0.3174
=0.01
P-value >
DO NOT REJECT NULL HYPOTHESIS
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