Question

Woof Chow Dog Food Company believes that it has a market share of 25 percent. It surveys n = 100 dog owners and ask whether or not Woof Chow is their regular brand of dog food, and 23 people say yes. Based upon this information, what is the value of the test statistic? Question 43 options: -0.462 0.475 -0.475 0.462

Answer 1

-0.462

Explanation:

The null hypothesis is:

`H_(0) = 0.25`

The alternate hypotesis is:

`H_(1) \\eq 0.25`

Our test statistic is:

`t = (X - \mu)/(s)`

In which X is the sample mean,
`\mu` is the population mean(the null hypothesis),
`\sigma` is s is the standard deviation of the sample.

In this problem:

`X = (23)/(100) = 0.23, \mu = (25)/(100) = 0.25, s = \sqrt{(0.25*0.75)/(100)} = 0.0433`

So

`t = (0.23 - 0.25)/(0.0433) = -0.462`

So the correct answer is:

-0.462