Question

A) If the statistical test performed on the data gives p = 0.001 in the case where the alternative hypothesis H1 is true, the resulting conclusion is (at 5% significance level)

Choose one:
1. right negative
2. false negative
3. right positive
4. false positive
5. True, but it is not known whether it is positive or negative
6. False, but it is not known whether it is positive or negative
7. positive, but it is not known whether it is right or wrong
8. negative, but it is not known whether it is right or wrong.

B) If the statistical test performed on the data gives p = 0.6 in the case where the null hypothesis H0 is true, the resulting conclusion is (at 5% significance level)

Choose one:
1. right negative
2. false negative
3. right positive
4. false positive
5. True, but it is not known whether it is positive or negative
6. False, but it is not known whether it is positive or negative
7. positive, but it is not known whether it is right or wrong
8. negative, but it is not known whether it is right or wrong.

C) If the statistical test performed on the data gives p = 0.003 in the case where the null hypothesis H0 is true, the resulting conclusion is (at 5% significance level)

Choose one:
1. right negative
2. false negative
3. right positive
4. false positive
5. True, but it is not known whether it is positive or negative
6. False, but it is not known whether it is positive or negative
7. positive, but it is not known whether it is right or wrong
8. negative, but it is not known whether it is right or wrong.

D) If the statistical test performed on the data gives p = 0.4 in the case where the null hypothesis H0 is false, the resulting conclusion is (at 5% significance level)

Choose one:
1. right negative
2. false negative
3. right positive
4. false positive
5. True, but it is not known whether it is positive or negative
6. False, but it is not known whether it is positive or negative
7. positive, but it is not known whether it is right or wrong
8. negative, but it is not known whether it is right or wrong.

Thank you so much if anyone can help me! I would need only the answers :)

Answer 1

ANSWERS ARE:

(A) 3. right positive

(B) 1. right negative
(C) 4. false positive

(D) 2. false negative

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(A)

Correct option:

3. right positive

Explanation:

	Reject H0	Fail to reject H0
H0 is true	False Positive	True negative
H0 is false	True Positive	False negative

H0 is false

p = 0.001 < = 0.05, Reject H0.

So, True Positive.

So,

Correct option:

3. right positive

(B)
Correct option:

1. right negative

Explanation:

H0 is true

p = 0.6 > = 0.05, Fail to reject H0.

So, True Positive.

So,

Correct option:

1. right negative

(C)
Correct option:

4. false positive

Explanation:

H0 is true

p = 0.003 < = 0.05, Reject H0.

So, False Positive.

So,

Correct option:

4. false positive

(D)
Correct option:

2. false negative

Explanation:

H0 is false

p = 0.4 > = 0.05, Fail to reject H0.

So, False Negative.

So,

Correct option:

2. false negative