Dartmouth Distribution Warehouse makes deliveries of a large number of products to its customers. To keep its customers happy and satisfied, the company's policy is to deliver on time at least 90% of all the orders it receives from its customers. The quality control inspector at the company quite often takes samples of orders delivered and checks to see whether this policy is maintained. A recent sample of 100 orders taken by this inspector showed that 83 of them were delivered on time. Using a 5% significance level, can you conclude that the company's policy is maintained?

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Dartmouth Distribution Warehouse makes deliveries of a large number of products to its customers. To keep its customers happy and
satisfied, the company's policy is to deliver on time at least 90% of all the orders it receives from its customers. The quality control
inspector at the company quite often takes samples of orders delivered and checks to see whether this policy is maintained. A recent
sample of 100 orders taken by this inspector showed that 83 of them were delivered on time.
Using a 5% significance level, can you conclude that the company's policy is maintained?
a) Step 1: State the null and alternative hypotheses.
b)Step 2: Write down the appropriate test statistics (formula). Check the assumptions first.
c)Step 3: Write down the rejection region of your test. ( find the critical(s) value )
d)Step 4: Compute the value of the test statistic
e)Step 5: State your conclusion: Reject Ho
Do not reject Ho (Just circle)
and in one sentence apply the results to the problem.
f)What type of mistake could you have made in your hypothesis test? (Just circle the correct answer)
Туре I
Туре II
None
g)Step 6: Compute the p- value for this test.
h) Describe type I error in the context of the problem . (I don't know what type of mistake could you make )
Transcribed Image Text:Dartmouth Distribution Warehouse makes deliveries of a large number of products to its customers. To keep its customers happy and satisfied, the company's policy is to deliver on time at least 90% of all the orders it receives from its customers. The quality control inspector at the company quite often takes samples of orders delivered and checks to see whether this policy is maintained. A recent sample of 100 orders taken by this inspector showed that 83 of them were delivered on time. Using a 5% significance level, can you conclude that the company's policy is maintained? a) Step 1: State the null and alternative hypotheses. b)Step 2: Write down the appropriate test statistics (formula). Check the assumptions first. c)Step 3: Write down the rejection region of your test. ( find the critical(s) value ) d)Step 4: Compute the value of the test statistic e)Step 5: State your conclusion: Reject Ho Do not reject Ho (Just circle) and in one sentence apply the results to the problem. f)What type of mistake could you have made in your hypothesis test? (Just circle the correct answer) Туре I Туре II None g)Step 6: Compute the p- value for this test. h) Describe type I error in the context of the problem . (I don't know what type of mistake could you make )
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