Question

Two-Way Tables

Laura wants to know whether the top golfers in the world tend to be American. To do this, she searches the Internet to find the current top-20 male golfers and top-20 female golfers and records whether they are American. This two-way table shows her data. Keep the two way table window open as you work on the tasks.


Male Female
American 11 6
Not American 9 14

Part A
Find the relative frequencies by rows.

Part B
Find the relative frequencies by columns.

Part C
Of the male golfers, do the top golfers tend to be American? Why or why not?

Part D
Of the female golfers, do the top golfers tend to be American? Why or why not?

Part E
Of the Americans, are the male golfers or the female golfers more likely to be highly ranked?

Part F
Of the non-Americans, are the male golfers or the female golfers more likely to be highly ranked?

Answer 1

A.To convert counts into relative frequencies, divide the count by the total number of items. In the above table, the first count is for men / Rom-com (count=6), so 6/60 = 0.1. Like the two-way frequency table, the totals in the right column and bottom row are called marginal distributions.

B.The sum of the relative frequency column is 2020, or 1.

The last entry of the cumulative relative frequency column is one, indicating that one hundred percent of the data has been accumulated.

C.(i cant find it)

D.also cant find

E. sorry cant find

F.same with this one

Explanation:

Sorry i got the first 2 tho

Answer 2

Part A

Find the relative frequencies by rows.

Male Female Total

American|| 11 || 6 || 17

Non-American|| 9 || 14 || 23

________________________________

Part B

Find the relative frequencies by columns.

Male Female

American || 11 || 6

Not American|| 9 || 14

Total || 20 || 20

________________________

Part C

Of the male golfers, do the top golfers tend to be American? Why or why not?

Answer: Yes, the top golfers tend to be American because in the charts there are more American men than non-American men.

Part D

Of the female golfers, do the top golfers tend to be American? Why or why not?

Answer: The top golfers of the females don't tend to be American because in the charts there are more non-American women than American women.

Part E

Of the Americans, are the male golfers or the female golfers more likely to be highly ranked?

Answer: The American male golfers are more likely to be highly ranked.

Part F

Of the non-Americans, are the male golfers or the female golfers more likely to be highly ranked?

Answer: Of the non-Americans, the female golfers are more likely to be highly ranked.

Explanation:

Hope this helps anyone who needs it. Goodluck on anything else!