The table below classifies a sample of 127 vehicles according to type of vehicle and colour. The sample was taken from the first three rows of vehicles in a parking lot outside a hockey arena while a game was being played.

Type of vehicle	Neutral colours (black, white, beige)	Red	Other colours (blue, green, yellow, etc)	Total
Car	42	15	21	78
Truck	35	10	4	49
Total	77	25	25	127

How strong is the evidence that the colour of vehicles depends on the type of vehicle? Please conduct a significance test by following the steps laid out below.

(1 point) Please write down the hypotheses.

(1 point) Please write down the test statistic and p-value. (Hint: You'll need to type 6 numbers into a Minitab worksheet.)

(1 point) Please write down the conclusion.

Question 2 Please refer to the situation and table in Question 1.

(1 point) Please give a 90% confidence interval for the percentage of all vehicles in the parking lot that are red.

(1 point) Please interpret the interval in (a) above.

(2 points) Is the interval in (a) valid? Please check the requirements for validity one by one so that your answer is completely justified