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Do Ho Secure l https://www.mathxl tudent/PlayerHo aspx?homework!d-437709586&ques

ID: 3314840 • Letter: D

Question

Do Ho Secure l https://www.mathxl tudent/PlayerHo aspx?homework!d-437709586&question;!d=12&flushed-false;&cld-4577124;&ce; Math 2100-04 Homework: Chapter 11 Homework Score:0 of 4 pts Hw Score: 58.42%, 33.3 of Help Conduct the foll ng test at the 001 level of s g ificance by deter ring a the null and alternative hypotheses, (b) the test statistic, and (c) the critical value. Assume that the samples were obtained independently using simple random sampling Test whether p.p2. Sample data are x1 = 30, n,-254, x2-38 and nz" 302. (a) Determine the null and alternative hypotheses. Choose the correct answer below Ho' p1-P2 versus H1 : p1 P2 (b) The test statistic zo is (Round to two decimal places as needed) Enter your answer in the answer box and then click Check Answer Clear All parts remaining This question if for "Ryan" Find the critical z values. Assume that the

Explanation / Answer

(a) Here p1 ^  = 30/254 = 0.118

p^2 = 38/302 = 0.126

pooled estimate p = (30 + 38)/ (254 + 302) = 0.1223

Standard error of pooled proportion = sqrt [p * (1 - p) * (1/n1 + 1/n2) ]

= sqrt [ 0.1223 * 0.8777 * (1/254 + 1/302)] =  0.0279

Z = (p1^ - p2^)/ se0 = (0.126 - 0.118)/ 0.0279 = 0.28

Z (criticical) = 2.575 at alpha = 0.01

so we cannot reject the null hypothesis and can say that both proportions are same.

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