Ms. Harper knows that her students in a computing course can choose from one of three operating systems for the semester: Doors, Banana, or Duix. Ms. Harper wants to test the hypothesis that her students will select the operating systems in the same proportion as students in other computing courses at the university. She conducts a χ2 goodness-of-fit test and calculates χ2=3.79 with a corresponding p-value of 0.15. Which of the following is correct at a 5-percent level of significance? A. Reject the null hypothesis, since 3.79 > 2.
B. Fail to reject the null hypothesis, since 3.79 > 2.
C. Reject the null hypothesis, since 0.15 > 0.05.
D. Fail to reject the null hypothesis, since 0.15 > 0.05.
E. Reject the null hypothesis, since 0.15 < 3.79.

D. Fail to reject the null hypothesis, since 0.15 > 0.05.

Step-by-step explanation:

P-value and decision regarding null hypothesis:

If the p-value is larger than the significance level, we do not the null hypothesis.

Otherwise, we reject the null hypothesis.

In this question:

The test statistic is χ2=3.79, with a p-value of 0.15.

The level of significance is 0.05.

Since 0.15 > 0.05, we fail to reject the null hypothesis, and the correct answer is given by option D.

x = 12

y = 15

step-by-step explanation:

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "