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 118 Kissing couples, both people in 74 of the couples tended to lean more to the right than to the left. (Use 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 118 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.) 0.627 x (b) Does the result of the experiment suggest that the 2/3 figure la implausible for kissing behavior? State the appropriate null and alternative hypotheses. Help - 2/3 Hip < 2/3 Hot 2/3 Help. 2/3 Ho! - 2/3 HIPS 2/3 Hol - 2/3 HP2/3 Calculate the test statistic and determine the

Answer 1

Que.1

a.

Probability that who differs from expected value is

=1 - (74/118)

= 0.373

b.

Hypothesis:

$\\ H_0 : P = 2/3 \\ \\ H_1 : P \neq 2/3$

c.

Test statistic,

$\\ z = \frac{\hat{p} - P_0}{\sqrt{\frac{P_0 (1-P_0)}{n}}} \\ \\ \\ z = \frac{0.627 - 0.667}{\sqrt{\frac{0.667(0.333)}{118}}} \\ \\ \\ z= -0.92$

P-value = 2*P(z < -0.92) = 2 * 0.1788 =0.3576