Question 13. Please answer all parts that are nor answered or blanked. Please do
ID: 3312829 • Letter: Q
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Question 13. Please answer all parts that are nor answered or blanked. Please do not skip any part. I will give you thumbs up
13. -15 points DevoreStat9 8.E.046 My Notes Ask Your Teacher 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 121 kissing couples, both people in 75 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 121 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.) (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. Ho: p = 213 Ha: PExplanation / Answer
Solution:-
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: P = 2/3
Alternative hypothesis: P 2/3
Note that these hypotheses constitute a two-tailed test. The null hypothesis will be rejected if the sample proportion is too big or if it is too small.
Formulate an analysis plan. For this analysis, the significance level is 0.05. The test method, shown in the next section, is a one-sample z-test.
Analyze sample data. Using sample data, we calculate the standard deviation () and compute the z-score test statistic (z).
= sqrt[ P * ( 1 - P ) / n ]
= 0.04285
z = (p - P) /
z = - 1.09
where P is the hypothesized value of population proportion in the null hypothesis, p is the sample proportion, and n is the sample size.
Since we have a two-tailed test, the P-value is the probability that the z-score is less than -1.09 or greater than 1.09.
Thus, the P-value = 0.2758
Interpret results. Since the P-value (0.2758) is greater than the significance level (0.05), we cannot reject the null hypothesis.
Do not reject H0, There is sufficient evidence to conclude that the true proportion of right leaning behavior differs from 2/3.
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