Independent random samples, each containing 500 observations, were selectedfrom two binomial populations. The samples from populations 1 and 2 produced 444 and287 successes, respectively.(a) Test Ho : (P1 - P2) = 0 against Ha : (Pı – P2) + 0. Use a = 0.09test statisticrejection region |z| >The final conclustion isOA. We can reject the null hypothesis that (P1 – P2) = 0 and accept that(P1 – P2) + 0.B. There is not sufficient evidence to reject the null hypothesis that (P1 – P2) = 0.|(b) Test Ho : (P1 – P2) = 0 against Ha : (p1 – P2) > 0. Use a =0.08test statisticrejection region z >The final conclustion isOA. We can reject the null hypothesis that (p1 – P2) = 0 and accept that(P — Р) > 0.B. There is not sufficient evidence to reject the null hypothesis that (p1 – P2) = 0.

Given : x1= 444 n1= 500 x2= 287 n2= 500

Answered: Independent random samples, each…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

H1.
1: Two random samples taken from two normal populations yielded the following information: Sample size nz = 9 Sample variance s? = 45 Sample 1 2 n2 = 31 %3D %3D iii. Perform the test the hypotheses Ho: of = ož vs. H1: o? # ož at the 5% level of significance.
11. Consider a random sample Y₁, Y2, ..., Yn from a normal population Y~N(μ, o²) where the population variance and mean are unknown. We want to construct a Σ(X-X)² Show 100(1 a)% confidence interval for the population variance if g² whether or not is a pivotal quantity and construct a 100(1-a) confidence interval.
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.
Conduct a test at the alphaαequals=0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p1>p2. The sample data are x1=120, n1=248, x2=133, and n2=302. (a) Choose the correct null and alternative hypotheses below. A. Upper H 0 : p 1 equals p 2H0: p1=p2 versus Upper H 1 : p 1 not equals p 2H1: p1≠p2 B. Upper H 0 : p 1 equals p 2H0: p1=p2 versus Upper H 1 : p 1 less than p 2H1: p1<p2 C. Upper H 0 : p 1 equals 0H0: p1=0 versus Upper H 1 : p 1 not equals 0H1: p1≠0 D. Upper H 0 : p 1 equals p 2H0: p1=p2 versus Upper H 1 : p 1 greater than p 2H1: p1>p2 Your answer is correct. (b) Determine the test statistic. z0equals=nothing (Round to two decimal places as needed.)
1: Two random samples taken from two normal populations yielded the following information: Sample size Sample 1 Sample variance s{ = 45 s = 30 n1 = 9 2 n2 = 31 %3D i. Find the test statistic F
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.
Two independent samples are selected at random from two normal populations, where the unknown population variances are assumed to be equal. The sample statistics are as follows: n₁=20,x=40,s=18,n₂=10x₂=34 and $₂=16. Assume that a two-tailed hypothesis test is conducted at α = .05, what is the upper critical value? a. t = 2.0484 b. z = 1.96 c. t = 1.7011 d. z = 1.65 e. t = 1.562
You may need to use the appropriate technology to answer this question. The following data are from a completely randomized design. In the following calculations, use a = 0.05. Treatment Treatment Treatment 3 64 82 69 47 71 53 54 87 60 35 64 46 50 76 57 148.67 108.67 96.67 (a) Use analysis of variance to test for a significant difference among the means of the three treatments.
Let Y₁, Y₂, ..., Y₁ denote a random sample from a normal distribution with unknown mean and unknown variance o². For testing Ho: o² = 0 vs. Ha: o²o, show that the a-level Likelihood Ratio Test (LRT) is equivalent to the x² test
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:

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS