It is known that roughly 2/3 of all human beings have a dominant right foot or e

Question

It is known that roughly 2/3 of all human beings have a dominant right foot or eye. Is there also right-sided dominance in kissing behavior? An article reported that in a random sample of 112 kissing couples, both people in 71 of the couples tended to lean more to the right than to the left.

(a) If 2/3 of all kissing couples exhibit this right-leaning behavior, what is the probability that the number in a sample of 112 who do so differs from the expected value by at least as much as what was actually observed? (Round your answer to three decimal places.)

Explanation / Answer

P(|X – 76.664| 5.667)

= P(X 71 or X 76.667)

= P(X 71) + [1 – P(X 76.667)]

= Bin(71;112,2/3) + [1 – Bin(76.667;112,2/3)]

= 0.634. (Using a large-sample z-based calculation gives a probability of 0.610.)

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