It is known tht rugh23 f al human beings have a dominant right foot or eye Is th

Question

It is known tht rugh23 f al human beings have a dominant right foot or eye Is there also ight-sided dominance in kissing behavi?A artide reported that in arandem sample of 118 issing couples, both pecple in 74 of the couples tended to lean more to the right than to the left. (Use r-0.05.) (a) If 2/3 of all lsing couples cxhibit this right leaning bchaior, what is the probability that the number in a sample f 118 wha dozo differs from the cxpected valu by at leact as much as what was actualy obccrved? (Round your answer to three dedimal places. b) Does the result of the experiment sugpest that the 2/3 figure is implausible for ksing behavier? State the appropriate null and aternative hypotheses. 23 calculate the test statistic and determine the P-value.Round your test statistic to tan decimal places and your P-value to tour decimal places.) P-value - Siate Uhe clun in Ure problem context Du not 'teat the null Frypotlless. There is su nuent evidence tu uundude that U Uue proportion uriglt lesning bel dviur iTers r'um 2-3. O Reject the null hypothesis. There is not suMcient evidence to condude thet the true proportion of right-leaning behavior differs from 2/3 Do net reject the null hypothesis, There is not sunt evidence to conclude that the true proportion of ight-leaning behavior dilTers from 2/3, O Reject the nul hypothesis. There is sufficient evidence to condude that the true proportion of right-leaning behavicr ciffers rom 2/3 You may nced to use the appropriate tablc in the Appendx of Tables to anawer this question. Need Help?

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.66666667
HA : p 0.66666667

Hypothesis test results:

Hence,

a) Probability = p - value = 0.362

b) z = -0.91

P = 0.3621

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 74 118 0.62711864 0.043396304 -0.91132238 0.3621

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