Question

A company is researching the effectiveness of a new website design to decrease the time to access a website. Five website users were randomly selected, and their times (in seconds) to access the website with the old and new designs were recorded. To compare the times, they computed (new website design time - old website design time). The results follow. What is the alternative hypothesis?
User Old Website Design New Website Design

(A) 30 ; 25

(B) 45 ; 30

(C) 25 ; 20

(D) 32 ; 30

(E) 28 ; 27

Answer 1

Answer:

The alternative hypothesis is: $H_a:\mu_{new}-\mu_{old}\neq0$

Step-by-step explanation:

Consider the provided information.

If there is no statistical significance in the test then it is know as the null which is denoted by $H_0$, otherwise it is known as alternative hypothesis which denoted by $H_a$.

A company is researching the effectiveness of a new website design to decrease the time to access a website.

The null hypothesis is there is no difference between new and old times.

$H_0:\mu_{new}-\mu_{old}=0$

Thus, the alternative hypothesis is: $H_a:\mu_{new}-\mu_{old}\neq0$