Question

1. all 10th-grade students at a school answered yes or no to the two survey questions shown. - do you have a cell phone? yes no - do you have a ps4 player? yes no the same students responded to both questions. the results are shown in the table. table with totals: cell phone yes 76, no 46; ps4 player yes 74, no 48 of the 76 students with cell phones, 22 have no ps4 player. complete the two - way frequency table to represent the correct number of students in each cell. you must complete all nine cells of the table for a full credit response. two - way table with rows: cell phone, no cell phone, total; columns: ps4 player, no ps4 player, total

Explanation:

Step1: Cell phone - PS4 Player (Yes)

Total with cell phone is 76, and 22 have no PS4. So PS4 yes for cell phone: \( 76 - 22 = 54 \)

Step2: No cell phone - Total

Total students: Cell phone total (76) + No cell phone total (46) = \( 76 + 46 = 122 \)

Step3: No cell phone - PS4 Player (Yes)

Total PS4 yes is 74. Subtract cell phone PS4 yes (54): \( 74 - 54 = 20 \)

Step4: No cell phone - No PS4 Player

Total no PS4 is 48. Subtract cell phone no PS4 (22): \( 48 - 22 = 26 \)

Step5: No cell phone - Total

Check: 20 (PS4 yes) + 26 (PS4 no) = \( 20 + 26 = 46 \) (matches no cell phone total)

Step6: Total - PS4 Player (Yes)

Already known as 74

Step7: Total - No PS4 Player

Already known as 48

Step8: Total - Total

76 + 46 = 122 (or 74 + 48 = 122)

Answer:

	PS4 Player	No PS4 Player	Total
no cell phone	20	26	46
Total	74	48	122