dida to develop a 94% confidence interval with an error of estimation of would b

Question

dida to develop a 94% confidence interval with an error of estimation of would be required? anit was a decade ago. If this consuitant wanted 0.040, how large a sample 2210 excel forcdion and ther 1-0)2 6. A student claims that he can correctly identify whether a person is a business major or an engineering major by the way the person dresses. Suppose that he can correctly identify a business major 99% of the time, 94% of the time he correctly identifies an engineering student (by rejecting as a business major). Presented with one person and asked to identify the major of this person (who is either a business or engineering major), he considers this to be a hypothesis test with the null hypothesis being that the person is a business major and the alternative that the person is an engineering major. The probability of Type II error (B) is:

Explanation / Answer

H0: The person selected randomly is a business major

H1: The person selected randomly is an engineering student

Given that the student can identify a person as business major 99% of the times.

ie ; P(Accepting H0/ H0 is true)=.99

Hence P(Rejecting H0 /H0 is true) =1- P(Accepting H0/ H0 is true)=1-0.99=0.01;

P(Type I error)= P(Rejecting H0 /H0 is true)=0.01

Also given that he correctly identifies the engineering student 94% of the times ie P(he correctly identifies/ the students is engineering major)= P(Rejecting H0 /H0 is false)=0.94

Similarly P(Type II error)= P(Accepting H0/ H0 is false)=1-P(Rejecting H0 /H0 is false)=1-0.94=0.06

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