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 124 kissing couples, both people in 79 of the couples tended to lean more to the right than to the left. (Use alpha = 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 124 who do so differs from the expected value by at least as much as what was actually observed? 20/31 (b) Does the result of the experiment suggest that the 2/3 figure is implausible for kissing behavior? State the appropriate null and alternative hypotheses. H_0: p = 2/3 H_a: p 2/3 H_0 p = 2/3 H_a: p notequalto 2/3 Calculate the test statistic and determine the P - value. (Round your test statistic to two decimal places and your P - value to four decimal places.) Z = P - value = .3057 State the conclusion in the problem context. Reject the null hypothesis. There is not sufficient evidence to conclude that the true proportion of right - leaning behavior differs from 2/3. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true proportion of right - leaning behavior differs from 2/3. Reject the null hypothesis. There is sufficient evidence to conclude that the true proportion of right - leaning behavior differs from 2/3. Do not reject the null hypothesis. There is sufficient evidence to conclude that the true proportion of right - leaning behavior differs from 2/3.

Explanation / Answer

Solution:-

a) number of kising couples, n=124

p^ = x/n

= 79/124

= 0.6370

b) option D.

Z = (0.637 - 0.667)/sqrt((0.667*0.333)/124)

Z = -0.03/0.0423 = -0.7092

p - value = 0.2391

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