Question

the employees of a company were asked to choose their favorite food. the results are shown in the two - way frequency table below.

	pizza	burgers	pasta	hot dogs	total
female	37	50	28	50	165
total	80	70	40	81	271

select all the statements that are true based on the given table.
an equal number of female employees chose burgers and hot dogs as their favorite food.
there were more male employees surveyed than female employees.
a greater number of employees chose pasta as their favorite food than the combined number of employees that chose hot dogs or burgers.
a greater number of male employees chose burgers as their favorite food than the female employees.
a greater number of male employees chose pizza as their favorite food than the female employees.
twice as many employees chose pizza as their favorite food than those that chose pasta.

Explanation:

Step1: Check the number of female employees who chose burgers and hot - dogs

The number of female employees who chose burgers is 50 and who chose hot - dogs is 50. So, the statement "An equal number of female employees chose burgers and hot dogs as their favorite food" is true.

Step2: Compare the number of male and female employees surveyed

The number of male employees is 106 and female employees is 165. So, there were more female employees surveyed than male employees, and the statement "There were more male employees surveyed than female employees" is false.

Step3: Compare the number of employees who chose pasta with the combined number of those who chose hot - dogs and burgers

The number of employees who chose pasta is 40. The combined number of those who chose hot - dogs and burgers is \(70 + 81=151\). So, the statement "A greater number of employees chose pasta as their favorite food than the combined number of employees that chose hot dogs or burgers" is false.

Step4: Compare the number of male and female employees who chose burgers

The number of male employees who chose burgers is 20 and female employees is 50. So, the statement "A greater number of male employees chose burgers as their favorite food than the female employees" is false.

Step5: Compare the number of male and female employees who chose pizza

The number of male employees who chose pizza is 43 and female employees is 37. So, the statement "A greater number of male employees chose pizza as their favorite food than the female employees" is true.

Step6: Compare the number of employees who chose pizza and pasta

The number of employees who chose pizza is 80 and who chose pasta is 40. So, the statement "Twice as many employees chose pizza as their favorite food than those that chose pasta" is true.

Answer:

An equal number of female employees chose burgers and hot dogs as their favorite food.
A greater number of male employees chose pizza as their favorite food than the female employees.
Twice as many employees chose pizza as their favorite food than those that chose pasta.