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

ID: 3316595 • Letter: I

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 115 kiing couples, both people in 1 of the coup right than to the ift. (Use -0.05.) tended to lean more to the (a) Lf 23 of all kissing couples exhibit this right-leaning behavior, what is the probability that the nurnber in a sarnple of 115 who do so differs from the expected value by at least as much as what was actually observed? (Rournd your answer to three decinal places 0.256 (h) Does the result of the experiment suogest that tha 23 figura is Implausible for kissing behavior? State the appropriate null and altnative hypotheses Ho: p-2/3 Celculate the test stetistic and determine the P value. (Round your test statistic to two decimal places and your P value to our dedimal places.) P-value = State the conclusicn in the problem context. Raject the nul hypothesis. Thara is not sufficient avidence to concludc that the true proportion of right-laaning bchavicr differs from 2/3. Repec! the null hypv hesis. There is sufficient evidence to wnclude lhal lhe Ifue proportion ur "yha ledniny behdViu' differs from 2 3. Do t reject the null hypethesis. There is suffitient evidence to conlude that the true proportion uf right-leaning behevior differs from 23 Do not relect the null hypothesis. There is not sutricient evidence to conclude that the true proportion or right-leaning behavior dimers trom 2/3.

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) Required probability = p - Value = 0.262

[If not correct, try 0.262/2 i.e. 0.131]

b) z = -1.12

P - value = 0.2623

Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 71 115 0.6173913 0.043958698 -1.1209468 0.2623
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