Question

1. one hundred people were asked about their favorite sports. part a complete the two - way frequency table.

	males	females	total
basketball	21	29	50
total	40	60	100

part b select all the true statements about this two - way frequency table.
□ more males were surveyed than females.
■ more females like soccer.
■ an equal number of people like soccer and basketball.
□ twice as many females than males like basketball.
6 select the appropriate linear model

Explanation:

Part A

Step1: Find Males for Soccer

Total for Soccer is 50, Females for Soccer is 31. So Males = 50 - 31 = 19.

Step2: Find Females for Basketball

Total for Basketball is 50, Males for Basketball is 21. So Females = 50 - 21 = 29.

Step3: Find Total Males

Males for Soccer (19) + Males for Basketball (21) = 40.

Step4: Find Total Females

Females for Soccer (31) + Females for Basketball (29) = 60.

1. "More males were surveyed than females": Males total is 40, Females total is 60. 40 < 60, so false.
2. "More females like soccer": Females for Soccer (31) > Males for Soccer (19), so true.
3. "An equal number of people like soccer and basketball": Both totals are 50, so true.
4. "Twice as many females than males like basketball": Females (29) vs Males (21). 29 ≈ 1.38×21, not twice, so false.

Answer:

	Males	Females	Total
Basketball	21	29	50
Total	40	60	100

Part B