the two - way frequency table below shows data on quidditch goals blocked when a goaltender was using a luck…

the two - way frequency table below shows data on quidditch goals blocked when a goaltender was using a luck potion or a placebo. complete the following two - way table of row relative frequencies. (if necessary, round your answers to the nearest hundredth.) placebo luck potion blocked the goal 30 23 did not block the goal 8 5 placebo luck potion row total blocked the goal 1.00 did not block the goal 1.00
Answer
Answer:
| Placebo | Luck potion | Row total | |
|---|---|---|---|
| Blocked the goal | 0.57 | 0.43 | 1.00 |
| Did not block the goal | 0.62 | 0.38 | 1.00 |
Explanation:
Step1: Calculate row - relative frequency for 'Blocked the goal' and 'Placebo'
For the row 'Blocked the goal', the total number of trials in this row is (30 + 23=53). The row - relative frequency for 'Blocked the goal' and 'Placebo' is (\frac{30}{53}\approx0.57).
Step2: Calculate row - relative frequency for 'Blocked the goal' and 'Luck potion'
The row - relative frequency for 'Blocked the goal' and 'Luck potion' is (\frac{23}{53}\approx0.43).
Step3: Calculate row - relative frequency for 'Did not block the goal' and 'Placebo'
For the row 'Did not block the goal', the total number of trials in this row is (8 + 5 = 13). The row - relative frequency for 'Did not block the goal' and 'Placebo' is (\frac{8}{13}\approx0.62).
Step4: Calculate row - relative frequency for 'Did not block the goal' and 'Luck potion'
The row - relative frequency for 'Did not block the goal' and 'Luck potion' is (\frac{5}{13}\approx0.38).