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11/16/2017 3. A random sample of n, 133 individuals Homework - Section 11.4- Whi

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Question

11/16/2017 3. A random sample of n, 133 individuals Homework - Section 11.4- Which Method Do Use ?.Ameera Garsa #57 successes. Does this represent sufficient evidence to conclude that p p2 results in x1 45 successes. An independent sample of nz results in x2 significance? The given situation is about a (1) Write the hypotheses for the test. Ho: (2) H: (3) Calculate the test statistic. (Round to two decimal places as needed.) Identify the critical region. Select the correct choice below and fill in all answer boxes within your choice. (Type an integer or decimal rounded to two decimal places as needed.) OA. test statistics OB, test statistic c, test statistic > What is the conclusion? (5)- _ the null hypothesis and conclude there (6) interest of population 1 is (7). :Standard Normal Distribution Table (page 1) sufficient evidence that the parameter of 0.05 level of significance. the parameter of interest of population 2 at the

Explanation / Answer

Solution

(1) The given situation is about a Z test for proportions

(2) H0 : p1 = p2

(3) H1 : p1 < p2

(4) p1 = x1/n1 = 45/133 = 0.3383 and p2 = x2/n2 = 57/148 =0.3851

z test = (p1 - p2)/((p1(1-p1)/n1) + (p2(1-p2)/n2)0.5

z test = (0.3383-0.3851)/(0.003283)0.5 = -0.82

(A) Test statistic < -1.65 (z critical value at 5% one tailed)

(5) Do not reject the null hypothesis

(6) There are no sufficient evidence

(7) Parameter of poulation 1 i.e. p1 is less than p2