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Answer:
Yes, the data provides convincing evidence that men and women have different average BF%s
Step-by-step explanation:
The given parameters are;
The number of the subjects ages 20 to 80 = 13,601
The body fat percentage, BF%, for the 6,580 men, = 23.9
The body fat percentage, BF%, for the 7,021 women, = 35.0
The standard error for the difference between the average men and women = 0.144
The null hypothesis, H₀; =
The alternative hypothesis, Hₐ; ≠
The test statistic = (35.0 - 23.9)/(0.114) = 97.368
Therefore, given that the z-test is larger than the critical-z, we reject the null hypothesis, H₀, therefore, there is convincing statistical evidence to suggest that men and women have different body average BF%