Question

5.4.3 quiz: two-way frequency tables a taste test asks people from texas and california which pasta they prefer, brand a or brand b. this table shows the results.

	brand a	brand b	total
california	96	54	150
total	176	99	275

a person is randomly selected from those tested.
are being from california and preferring brand a independent events? why or why not?

a. yes, they are independent because ( p(\text{california}) approx 0.55 ) and ( p(\text{california|brand a}) approx 0.55 ).

b. no, they are not independent because ( p(\text{california}) approx 0.55 ) and ( p(\text{california|brand a}) approx 0.64 ).

c. yes, they are independent because ( p(\text{california}) approx 0.55 ) and ( p(\text{california|brand a}) = 0.64 ).

d. no, they are not independent because ( p(\text{california}) approx 0.55 ) and ( p(\text{california|brand a}) approx 0.55 ).

Explanation:

Answer:

A. Yes, they are independent because \( P(\text{California}) \approx 0.55 \) and \( P(\text{California|brand A}) \approx 0.55 \).