Question

all the workers in a company were asked a survey question. the two - way frequency table shows the responses from the workers in the day shift and night shift. complete parts a and b. two - way frequency table shift response yes no total day 59 41 100 night 21 79 100 total 80 120 200 two - way relative frequency table shift response yes no total day % % % night % % % total % % % enter your answer in the edit fields and then click check answer. 1 part

Explanation:

Step1: Calculate relative frequency for Day - Yes

Relative frequency = \(\frac{\text{Frequency}}{\text{Total}}\times100\%\). For Day - Yes: \(\frac{59}{100}\times100\% = 59\%\)

Step2: Calculate relative frequency for Day - No

For Day - No: \(\frac{41}{100}\times100\%=41\%\)

Step3: Calculate relative frequency for Day - Total

For Day - Total: \(\frac{100}{100}\times100\% = 100\%\)

Step4: Calculate relative frequency for Night - Yes

For Night - Yes: \(\frac{21}{100}\times100\%=21\%\)

Step5: Calculate relative frequency for Night - No

For Night - No: \(\frac{79}{100}\times100\% = 79\%\)

Step6: Calculate relative frequency for Night - Total

For Night - Total: \(\frac{100}{100}\times100\%=100\%\)

Step7: Calculate relative frequency for Total - Yes

For Total - Yes: \(\frac{80}{200}\times100\%=40\%\)

Step8: Calculate relative frequency for Total - No

For Total - No: \(\frac{120}{200}\times100\% = 60\%\)

Step9: Calculate relative frequency for Total - Total

For Total - Total: \(\frac{200}{200}\times100\%=100\%\)

Answer:

Shift	Yes	No	Total
Night	21%	79%	100%
Total	40%	60%	100%