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.

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.