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Monica [59]
3 years ago
5

Which of the following is correct? Multiple Choice When the sample size increases, both α and β may decrease. Type II error can

only occur when you reject H0. Type I error can only occur if you fail to reject H0. The level of significance is the probability of Type II error.
Mathematics
1 answer:
Alexeev081 [22]3 years ago
7 0

Answer:

(A) When the sample size increases, both α and β may decrease.

Step-by-step explanation:

Which of the following is correct?

(A) This option is right.

When a sample's size increases, the values for alpha and beta may decrease; if and only if sample size is the denominator in the slope equation (in each case) and the numerator stays the same (that is, ceteris paribus; all other things being equal). The larger the denominator, the smaller the slope value for alpha and beta.

(B) This option is wrong

Type 2 error can only occur when you fail to reject a true H0

(C) This option is wrong

Type 1 error can only occur if or when you don't reject a false H0

(D) This option is wrong

The level of significance is the probability of a Type 1 error, not the probability of a Type 2 error.

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The original functions are: f(n) = 500 and g(n) = [9/10]^(n-1)

A geometric sequence combining them is: An = f(n)*g(n) = 500*[9/10]^(n-1):

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Answer: the third option, An = 500[9/10]^(n-1); A11 = 174.339

 
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