Errors For each of the following situations, statewhether a Type I, a Type II, or neither error has beenmade. Explain briefly.a) A bank wants to see if the enrollment on their websiteis above 30% based on a small sample of customers. Ittests H0: p = 0.3 vs. HA: p 7 0.3 and rejects the nullhypothesis. Later the bank finds out that actually 28%of all customers enrolled.b) A student tests 100 students to determine whetherother students on her campus prefer Coke or Pepsiand finds no evidence that preference for Coke is not0.5. Later, a marketing company tests all students oncampus and finds no difference.c) A pharmaceutical company tests whether a drug liftsthe headache relief rate from the 25% achieved by the placebo. The test fails to reject the null hypoth-esis because the P-value is 0.465. Further testing shows that the drug actually relieves headaches in38% of people.

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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Errors For each of the following situations, state
whether a Type I, a Type II, or neither error has been
made. Explain briefly.
a) A bank wants to see if the enrollment on their website
is above 30% based on a small sample of customers. It
tests H0: p = 0.3 vs. HA: p 7 0.3 and rejects the null
hypothesis. Later the bank finds out that actually 28%
of all customers enrolled.
b) A student tests 100 students to determine whether
other students on her campus prefer Coke or Pepsi
and finds no evidence that preference for Coke is not
0.5. Later, a marketing company tests all students on
campus and finds no difference.
c) A pharmaceutical company tests whether a drug lifts
the headache relief rate from the 25% achieved by
the placebo. The test fails to reject the null hypoth-
esis because the P-value is 0.465. Further testing
shows that the drug actually relieves headaches in
38% of people.
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