Question

at the beginning of the semester we collected some data from you. two of the questions on the survey were about gender and whether or not you have equal, more, or less energy in the afternoon compared to the morning. below are the results.
assuming that gender and energy levels are not associated, what is the expected value for the number of males who have equal energy in the afternoon as the morning?
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Explanation:

Step1: Calculate total number of males

<display_LaTeX_Formula>9 + 15 + 23 = 47<\display_LaTeX_Formula>

Step2: Calculate total number with equal energy

<display_LaTeX_Formula>18 + 9 = 27<\display_LaTeX_Formula>

Step3: Calculate total survey respondents

<display_LaTeX_Formula>18 + 37 + 24 + 9 + 15 + 23 = 126<\display_LaTeX_Formula>

Step4: Compute expected value

<display_LaTeX_Formula>\frac{47 \times 27}{126} \approx 10.07<\display_LaTeX_Formula>

Answer:

10.07 (rounded to two decimal places) or 10 (if rounded to integer)