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

Question

contestada

Respuesta :

Newton9022 Newton9022 · Answer 1 · 2020-06-28T08:20:57+02:00

Answer:

A

Step-by-step explanation:

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

Note that when [tex]H_o[/tex] is False, then the Alternate Hypothesis, [tex]H_a[/tex] 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 [tex]H_o[/tex] when [tex]H_o[/tex] is true;
Reject [tex]H_o[/tex] when [tex]H_o[/tex] is true; Type 1 Error
Insufficient evidence to reject [tex]H_o[/tex] when [tex]H_a[/tex] is true -Type II Error
Reject [tex]H_o[/tex] when [tex]H_a[/tex] is true;