Applications of Testing of HypothesisIndependent random samples selected from two binomial populations produced theresults given in the table5.Sample 1801006.Sample 274100Number of successesSample sizesa. Test Ho: (P₁-P₂)=0, Ha: (P.-P₂)>o, at a=.10b. Suppose n₁ = n₂ =1,000, but the sample estimates P₁, P₂, and p remain the sameas in part a. Test H, (P₁-P₂)-o, H: (p₁ -P₂)>0, at a=.05.Applications of Testing of Hypothesisrandom sample of n = 10 observations yields x=231.7and s² = 15.5. Test the nullhypothesis Ho: o = 20 against the alternative hypothesisH₁: < 20. Use a = .05. What assumptions are necessary for the test to be valid.

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Answered: Applications of Testing of Hypothesis…

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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An educational psychologist studies the effect of frequent testing on retention of class material. In one section of an introductory course, students are given quizzes each week. A second section of the same course receives only two tests during the semester. At the end of the semester, both sections receive the same final exam, and the scores are summarized below. Frequent Quizzes Two Exams n = 20 n = 20 M = 73 M = 68 A. If the first sample variance is s2 = 38 and the second sample has s2 = 42, do the data indicate that testing frequency has a significant effect on performance? Use a two- tailed test at the .05 level of significance. (Note: Because the two sample are the same size, the pooled variance is simply the average of the two sample variances.) tcritical…
f there are two samples n, - 25 and n, = 22, then while performing pooled variance t test, how many degrees of freedom would you have? The degrees of freedom would be
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 = 116, n₁ =249, x₂ = 138, and n₂ = 306. (a) Choose the correct null and alternative hypotheses below. OA. Ho: P₁ P₂ versus H₁: P₁ P2 B. Ho: P₁ = 0 versus H₁: P₁ #0 W OC. Ho: P₁ = P₂ versus H₁: P₁ P₂ OD. Ho: P₁ P2 versus H₁: P₁ P₂ w an example Get more help Clear all 17 e Check answer 6:51 PM 3/2/2024 C G
If you have samples of n₁ = 22 and n₂ = 19, in performing the pooled-variance t test, how many degrees of freedom do you have? You have degrees of freedom.
A researcher is interested in the amount of sleep an individual receives after consuming a sleeping aid (Melatonin, Valerian root, and Placebo). The researcher randomly selects individuals into either group. However, some individuals drop out of the study which results in unequal sample sizes. Melatonin Valerian Placebo n=6 n=10 n=4 N=20 M=14 M=13 M=9 G=250 T=84 T=130 T=36 ΣX2=3377 SS=60 SS=90 SS=37 a. Using symbols, state the hypotheses for a two-tailed test with α=0.05. b. Locate the critical region. In doing so, determine the degrees of freedom values. c. Calculate the F-ratio.
Test the claim about the difference between two population means ₁ and ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: ₁₂; a=0.01. Assume o #02 Sample statistics: x₁=2406, s₁ = 178, n₁ = 14 and X₂=2291, s₂=52, n₂ = 9 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂ Ha: H1 H2 OC. Ho: H₁ H₂ Ha: H1 H2 OE. Ho: H₁ H₂ Ha: H1 H2 Find the standardized test statistic t t= (Round to two decimal places as needed.). OB. Ho: H₁ H₂ Ha: H₁ 24₂ OD. Ho: ₁₂ Ha: H1 H₂ OF. Ho: H₁ H₂ H₂: H₁ H₂ Find the P-value. P=0 (Round to three decimal places as needed.). Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. ▼ Ho There enough evidence at the 1% level of significance to reject the claim.
A high school conducts a dependent sample experiment to test if there is a difference between the number of times students are absent in the fall and winter months. You have data for the following 5 students: STUDENT FALL WINTER 1 2 3 4 5 2 0 1 2 O What do you conclude about this school's absences? (Assume standard a = 0.05) 2 1 2 4 T O There is no difference between the Fall and Winter months. O There is a statistically significant difference between the Fall and Winter months. There is a difference but it is only somewhat statistically significant. There is not enough data to determine if there is a difference in absences.
Solve the problem. When performing a hypothesis test for the ratio of two population variances, the upper critical F value is denoted FR. The lower critical F value, FL, can be found as follows: interchange the degrees of freedom, and then take the reciprocal of the resulting F value found in table A-5. FR can be denoted Fa/2 and FL can be denoted F1-a/2 - Find the critical values FL and FR for a two-tailed hypothesis test based on the following values: n₁ = 4, n₂ = 8, a = 0.05 0.1703, 5.8898 0.1112, 5.0453 0.0684. 5.8898 O 0.1211, 4.3541
Test interviews of two personnel evaluation techniques are available, the first requires a two-hour test interview while the second can be completed in less than an hour. The table below is the output of the regression analysis of the 15 individuals who took both tests: The values N and O of 95% confidence interval will be:
Please see below. I need help with this asap please and thank you. Note that I'm only given one attempt at this. I have worked this out already, but I'm not 100% certain my answers are right.
For the hypothesis system H0: u=c versus Ha: u doesn't equal c Give the absolute value of the calculated test statistics which would correspond to the standard P-value. Consider the population normally distributed. P-value= 0.026
MM

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