Independent random samples, each containing 90 observations, were selected from two populations. The samples from populations 1and 2 produced 78 and 70 successes, respectively.Test Ho : (P1 – P2) = 0| against H. : (P1 – p2) + 0ļ Use a = 0.06|.(a) The test statistic is(b) The P-value is(c) The final conclusion isA. We can reject the null hypothesis that (p1 – P2) = 0|and accept that (P – P2) + 0B. There is not sufficient evidence to reject the null hypothesis that (p – P2) = q.

Given that For population 1 Sample size (n1)= 90 The number of success (X1)=78 For population 2…

Answered: Independent random samples, each…

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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Two independent samples have been selected, 7777 observations from population 1 and 5858 observations from population 2. The sample means have been calculated to be ?⎯⎯⎯1=13.4x¯1=13.4 and ?⎯⎯⎯2=11.3x¯2=11.3. From previous experience with these populations, it is known that the variances are ?21=27σ12=27 and ?22=29σ22=29. For the hypothesis test of ?0:(?1−?2)=1.8H0:(μ1−μ2)=1.8 and ??:(?1−?2)≠1.8Ha:(μ1−μ2)≠1.8 Use ?=0.04α=0.04. (a) Compute the test statistic. ?=z= (b) Find the approximate p-value?−?????=p−value= The final conclustion is A. There is not sufficient evidence to reject the null hypothesis that (?1−?2)=1.8(μ1−μ2)=1.8. B. We can reject the null hypothesis that (?1−?2)=1.8(μ1−μ2)=1.8 and accept that (?1−?2)≠1.8(μ1−μ2)≠1.8.
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why are large x2 values sometimes obtained when the null hypothesis true?
A researcher investigates whether cold medication effects mental alertness. It is known that scores on a standardized test containing a variety of problem-solving tasks are normally distributed with  = 64 and  = 8. A random sample of n = 16 teenage and a sample of n = 25 adults are given the drug and then tested. On average, the teenagers scored and average of ? = 58 and the adults scored and average of M = 65.5.a. Are the data sufficient to conclude that the medication significantly reduces mental alertness in teenagers? Test with  = .01.b. Are the data sufficient to conclude that the medication significantly increases mental alertness in adults? Test with  = .01.
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16% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 313 randomly selected students who receive financial aid, 31 of them volunteered their time. What can be concluded at the αα = 0.10 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean The null and alternative hypotheses would be: H0:H0: ? p μ Select an answer < ≠ = > (please enter a decimal) H1:H1: ? μ p Select an answer > ≠ = < (Please enter a decimal) The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject accept fail to reject the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly lower…
independent random samples, each containing 90 observations, were selected from two populations. The samples from populations 1 and 2 produced 45 and 38 successes, respectively. Test;H0:(p1−p2)= 0 againstHa:(p1−p2)≠ 0Use α=0.03Test Statistic: P-Value:

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