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Makovka662 [10]
3 years ago
13

List the four possible results of the combinations of decisions and true states of nature for a test of hypothesis. Which of the

following lists the four possible results of the combinations of decisions and true states of nature for a test of​ hypothesis? A. Reject Upper H 0H0 when Upper H 0H0 is​ true; insufficient evidence to reject Upper H 0H0 when Upper H 0H0 is​ true; reject Upper H 0H0 when Upper H Subscript aHa is​ true; insufficient evidence to reject Upper H 0H0 when Upper H Subscript aHa is true B. Reject Upper H 0H0 when Upper H 0H0 is​ true; insufficient evidence to reject Upper H 0H0 when Upper H Subscript aHa is​ true; reject Upper H Subscript aHa when Upper H Subscript aHa is​ true; insufficient evidence to reject Upper H 0H0 when Upper H 0H0 is true C. Reject Upper H 0H0 when Upper H Subscript aHa is​ true; insufficient evidence to reject Upper H 0H0 when Upper H 0H0 is​ true; reject Upper H Subscript aHa when Upper H 0H0 is​ true; insufficient evidence to reject Upper H 0H0 when Upper H Subscript aHa is true D. Reject Upper H 0H0 when Upper H 0H0 is​ true; insufficient evidence to reject Upper H 0H0 when Upper H 0H0 is​ true; reject Upper H 0H0 when Upper H Subscript aHa is​ true; accept Upper H Subscript aHa when Upper H 0H0 is true
Mathematics
1 answer:
viktelen [127]3 years ago
6 0

Answer:

A

Step-by-step explanation:

The combinations of decisions and true states of nature for a test of​ hypothesis is given below:

  • When H_o is True, Accept H_o
  • When H_o is True, Reject H_o (Type I Error)
  • When H_o is False, Accept H_o (Type II Error)
  • When H_o is False, Reject H_o

Note that when H_o is False, then the Alternate Hypothesis, H_a is True.

Therefore Option A gives the possible combinations.

The possible choices in Option A are ordered below to correspond to the results above.

  • Insufficient evidence to reject H_o  when H_o  is​ true;
  • Reject H_o  when H_o  is​ true; Type 1 Error
  • Insufficient evidence to reject H_o  when H_a  is true -Type II Error
  • Reject H_o  when H_a  is​ true;
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