IF nominal alpha is set to .01, which of these p values would be considered criteria for rejecting the null hypothesis? a. .002
b. .009
c. .04
d. .042

The null hypothesis gets rejected for the p-value of 0.04 and 0.042.

Step-by-step explanation:

We are given the level of significance of = 0.01 or 1%. And also we are provided with the different p-values.

As we know that; the decision rule for rejecting the null hypothesis is given by;

(i) The P-value given is 0.002.

Here, the P-value is less than the level of significance as 0.002 < 0.01, then we have sufficient evidence to reject our null hypothesis. So, the null hypothesis gets rejected.

(ii) The P-value given is 0.009.

Here, the P-value is less than the level of significance as 0.009 < 0.01, then we have sufficient evidence to reject our null hypothesis. So, the null hypothesis gets rejected.

(iii) The P-value given is 0.04.

Here, the P-value is more than the level of significance as 0.04 > 0.01, then we have insufficient evidence to reject our null hypothesis. So, the null hypothesis does not get rejected.

(iv) The P-value given is 0.042.

Here, the P-value is more than the level of significance as 0.042 > 0.01, then we have insufficient evidence to reject our null hypothesis. So, the null hypothesis does not get rejected.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

$32,660

step-by-step explanation: