Question

1. A small car dealership operates in four different states (Florida, Georgia, Alabama, and Mississippi). The dealership owner would like to know if the 4 different types of cars that can be purchased (sport, SUV, sedan, and convertible) are purchased similarly from each state.

What are the null and alternative hypotheses?

Group of answer choices

a. Ho: All states have the same distribution of purchases.

Ha: All of the states have a different distribution

b. Ho: All states do not have the same distribution.

Ha: All states have the same distribution of purchases

c. Ho: All states have the same distribution of purchases.

Ha: Not all states have the same distribution

d. Ho: Some states have the same distribution of purchases.

Ha: All states do not have the same distribution

2. Every year Tesla sends out a survey to their customers asking what their favorite thing about their vehicle is. Historically, 40% have said "it is electrically powered" 20% said "the design" 10% said "the touchpad" and 30% said "the leather interior".

This year, Tesla conducted the survey and the results were as follows: 30% said "it is electrically powered", 25% said "the design", 40% said "the touchpad" and 5% said "the leather interior". A total of 100 Tesla drivers were surveyed.

What is the appropriate test statistic? Please round to 2 decimal places as needed.

Answer 1

1.

Correct option:

Ho: All states have the same distribution of purchases.

Ha: All of the states have a different distribution

2.

Test Statistic () is got as follows:

Observed (O)	Expected (E)	(O - E)2/E
30	40	2.50
25	20	1.25
40	10	90.00
5	30	20.83
Total = =		114.58

So,

Answer is:

114.58