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

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 136 kissing couples, both people in 87 of the couples tended to lean more to the right than to the left. (Use α = 0.05.)

(a) If 2/3 of all kissing couples exhibit this right-leaning behavior, what is the probability that the number in a sample of 136 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.)

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