Consider the following to answer the question(s) below: Winnipeg Pet Plus believes that it has a market share of 25 percent of the local dog food market. They survey 100 dog owners and ask whether or not it is their regular source of dog food, and 23 people say "yes." -The appropriate null and alternative hypotheses are A) H0 : p = 0.25 and HA : p ≠ 0.25. B) H0 : p = 0.25 and HA : p 0.25. C) H0 : p 0.25 and HA : p = 0.25. D) H0 : p ≠ 0.25 and HA : p = 0.25. E) H0 : p = 0.25 and HA : p

Question

Consider the following to answer the question(s) below:
Winnipeg Pet Plus believes that it has a market share of 25 percent of the local dog food market. They survey 100 dog owners and ask whether or not it is their regular source of dog food, and 23 people say "yes."
-The appropriate null and alternative hypotheses are
A) H0 : p = 0.25 and HA : p ≠ 0.25.
B) H0 : p = 0.25 and HA : p > 0.25.
C) H0 : p > 0.25 and HA : p = 0.25.
D) H0 : p ≠ 0.25 and HA : p = 0.25.
E) H0 : p = 0.25 and HA : p < 0.25.

Quizplus · Accepted Answer

The appropriate null hypothesis should state that the market share of Winnipeg Pet Plus is 25%, which is what H0: p = 0.25 is saying. The alternative hypothesis should be two-tailed, indicating that the true proportion could be either greater than or less than 0.25, which is what HA: p ≠ 0.25 is saying. Therefore, the best choice is A.

Consider the Following to Answer the Question(s) Below