2. A new insecticidelaboratory test, theimmediately after contact.Is this sufficient evidence to support the advertised claim? Use ax=0.05.(a) Alternative hypothesis for the problem above isOp<0.95Op>0.95Op<0.95Op≥0.95Hiis advertised to kill more than 95% roaches upon contact. In ainsecticide was applied to 400 roaches and 384 diedC(1 mU*)OP(?Rain.[

Given that P =0.95,n=400,x =384,α=0.05

Answered: 2. A new insecticide laboratory test,…

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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A survey claims that 9 out of 10 doctors (i.e., 90%) recommend brand Z for their patients who have children. To test this claim against the alternative that the actual proportion of doctors who recommend brand Z is less than 90%, a random sample of doctors was taken. Suppose the test statistic is z= -2.33. Can we conclude that H0 should be rejected at the a) α= 0.10 b) α = 0.05 c) α= 0.01 level?
The desired percentage of Sio, in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of Sio, in a sample is normally distributed with o = 0.32 and that x = 5.23. (Use a = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5? State the appropriate null and alternative hypotheses. Ho: u = 5.5 Hg: µ 2 5.5 Ho: H = 5.5 HaiH 5.5 = Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the true average percentage differs from the desired percentage. O Reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the…
Please solve for all parts
Historically it is known thatp = 36.3% of the population have a specified characteristic. A random sample of size n=500 is taken, and x=167 number of the population has the specified characteristic. Determine the value of the test statistic for the hypothesis test of one proportion with null hypothesis Ho: p = 36.3%. Enter your answer to two decimal places.
a. Compute the p-value for the test (use R). Round to the nearest 3rd decimal place, 0.xxx. b. Make and justify a statistical decision at the α= 0.05 significance level and state your conclu-sions in context of the problem.
a. Compute the p-value for the test (use R). Round to the nearest 3rd decimal place, 0.xxx. b. Make and justify a statistical decision at the α= 0.15 significance level and state your conclu-sions in context of the problem.
You are more likely to make a type 1 error with a sample of n=4 than with a sample of n=100 if you use α= .05 for both tests. A. True B. False
A sample of n sludge specimens is selected and the pH of each one is determined. The one-sample t test will then be used to see if there is compelling evidence for concluding that true average pH is less than 7.0. What conclusion is appropriate in each of the following situations? USE SALT (a) n = 8, t= -2.8, a = 0.05 O Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. O Do not reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Do not reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. (b) n = 15, t= -3.5, a = 0.01 O Reject the null hypothesis. There is sufficient evidence that the true average pH is less than 7.0. O Reject the null hypothesis. There is not sufficient evidence that the true average pH is less than 7.0. O Do not…
Q1. Which of the following represents Type II error? a. Rejecting the Ho after a test statistic results in a p-value of 0.10 at α =0.05.B. Rejecting the Ho after a test statistic results in a p-value of 0.025 at α=0.05.C. None of the above
Suppose you want to test the claim that μ > 25.6. Given a sample size of n = 47 and a level of significance of, a=0.01 when should you reject H0?
If, in a sample of n=20 selected from a normal population, X = 54 and S = 12, what is your statistical decision if the level of significance, a is 0.01, the null hypothesis, Ho. is i = 50, and the alternative hypothesis, H, is #502 Click here to view page 1 of the table of the critical values of t. Click here to view page 2 of the table of the critical values oft. Determine the critical value(s). The critical value(s) is(are)| (Round to four decimal places as needed. Use a comma to separate answers as needed.)
In a study of obesity the following results were obtained from samples of males and females between the ages of 20 and 75: n Males 150 Females 200 Number Overweight 21 48 Can we conclude from these data that in the sampled populations there is a difference in the proportions who are overweight? Let α = .05.

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