A shipper declares that the probability that one of the shipments is delayed is .05. A customer notes that in her first n = 200 shipments, 12 have been delayed. a. Test the assertion of the shipper...

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A shipper declares that the probability that one of the shipments is delayed is .05. A customer notes that in her first n = 200 shipments, 12 have been delayed. a. Test the assertion of the shipper that π = 0.05 at α = 0.05. b. Calculate the corresponding PROB-VALUE.





Answered Same DayDec 27, 2021

Answer To: A shipper declares that the probability that one of the shipments is delayed is .05. A customer...

Robert answered on Dec 27 2021
130 Votes
We want to test hypothesis:
H0 : π = 0.05 (Null Hypothesis)
Ha : π 6= 0.05 (Alternative Hypothesis, also called H1)
This is two tailed test.
Sample proportion, π̂ = x
n
= 12200 = 0.06,n = 200
and claimed proportion, P = 0.05
Significance level, α = 0.05
now, calculating statistics
Standard...
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