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

The alternative hypothesis for the company's research on the new website design is that the mean time to access the website with the new design is less than the mean time with the old design (H

Step-by-step explanation:

The alternative hypothesis for the company's research on website design effectiveness would suggest that there is a change in the time it takes to access the website with the new design compared to the old design. Specifically, since the company is interested in decreasing access times, the alternative hypothesis (Ha) would be that the mean time to access the website with the new design is less than the mean time with the old design. Therefore, the alternative hypothesis can be stated as Ha: μnew < μold, where μnew represents the mean access time with the new design, and μold represents the mean access time with the old design.

Answer 2

The alternative hypothesis is:
`H_a:\mu_(new)-\mu_(old)\\eq0`

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)\\eq0`