Test stastic:critical values:95% confidence interval____<(p1-p2)<___ Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 14 having a common attribute. The secondsample consists of 2100 people with 1501 of them having the same common attribute. Compare the results from a hypothesis test of p =P2 (with a 0.05 significancelevel) and a 95% confidence interval estimate of p -p2.P1What are the null and alternative hypotheses for the hypothesis test?O A Ho P1P2OB.. Ho: P1-P2O C. Ho: P1 sP2H1 P1 P2H1: P1 P2H1: p1 P2D. Ho P1=P2OE Ho: P1= P2OFF Ho P1 2 P2prrectH1 P1 P2H1 P1< P2H1: P1 # P2aryIdentify the test statistic.(Round to two decimal places as needed.)essotionsEnter your answer in the answer box and then click Check AnswerCheck Answer5 partsremainingClear AllUs /SAMSUNG女

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Description: Test stastic:critical values:95% confidence interval____<(p1-p2)<___ Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 14 having a common attribute. The secondsample consists of

Null hypothesis: H0: p1=p2 Alternative hypothesis: H1:p1≠p2 Let p1^ and p2^ denote the sample proportion for the sample 1 and the sample 2 respectively. Then, p1^=1430=0.467 p2^=15012100=0.7148 The pooled proportion is p^ and calculated as: p^=(14+1501)(30+2100)=15152130=0.71127Now, the test statistics is Z: Z=p1^-p2^-0p^(1-p^)1n1+1n2=0.4670-0.71480.71127(1-0.71127)130+12100=-0.244270.71127·0.28873·0.03381=-0.244270.082796=-2.9503 For 95%, Z critical value is 1.96.Now, 95% confidence interval for the proportion difference is calculated. Standard error for the proportion difference is SE. SE=p1^(1-p1^)n1+p2^(1-p2^)n2=0.4671-0.46730+0.71481-0.71482100=0.008297+0.00009708=0.09448 95% confidence interval is: (p1^-p2^)±Z*·SE=0.467-0.7148±1.96·0.09448=-0.24427±0.18568 Thus, the required confidence interval is -0.42995<p1-p2<-0.05858

Math

Statistics

Test stastic: critical values: 95% confidence interval____<(p1-p2)<___

Test stastic: critical values: 95% confidence interval__<(p1-p2)<_

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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