Question: Can you help me this question? A hypothesis test is to be performed with a Null hypothesis H o : 20 and an alternative hypothesis

Can you help me this question?

A hypothesis test is to be performed with a Null hypothesisH_o: 20and an alternative hypothesisH₁:>20,the population standard deviation is=3.0, the sample size is;n=30, and the significance level is=0.025.

(a)What is a Type I error?(1 mark)

answer choices

1.Reject Ho when Ho is incorrect

2.Reject Ho when Ho is correct

3.Do not reject Ho when Ho is incorrect

4.Do not reject Ho when Ho is correct

(b)What is a Type II error?(1 mark)

Answer choices

Reject Ho when Ho is incorrect

Reject Ho when Ho is correct

Do not reject Ho when Ho is incorrect

Do not reject Ho when Ho is correct

(c)What is the chance of making a type I error in the above test?

Answer choices

0.050

0.0250

0.0125

0.1000

(1 mark)

(d)What value would the sample mean have to be greater than to reject Ho?

(2 marks)

Value =

(state accurate to 3 dp)

(e)It is unknown to the technician making the test, but the real value of =22.

What is the probabilitythat a Type II error occurs?

(4 marks)

Probability =

(state answer accurate to 4dp)

(f)Ina word what will happen to the Type II error if the sample size increases to 60 and all else remains unchanged.Including the answer to part (d)

Answer choices

Increase

decrease

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