For the following tests of hypothese, assume we calculated the test statistic and found the rejection region. i) Setup the hypotheses;Test statistic z = 2.03; Rejection Region : z> 1.28i) Choose the correct hypothesesFind the significance level a of the test; ii) Graph and calculate/estimate the P-value; iv) State your conclusion for the test.O A. Ho: H = Ho vs HA: H * HoO B. Ho: H = Ho vs HA: H < HoOC. Ho: u > Ho vs HA: u = PoO D. Ho: µ = Ho vs HA: H > Poii) Significance level a =(Keep two digits after decimal point)iii) Which of the following shaded area represent the p-value of this test?OA.ов.-3 -2 -1 0 1 2 3-3 -2 -1 0 1 2 3Oc.OD.-3 -2 -1 0 1 2 3-3 -2 -1 0 1 2 3Calculate P-value: P-value = (Keep four digits after decimal point)iv) Choose All of the correct statements from the following:O Do not reject H, since p-value aO Do not reject Ho since z is not in the rejection regionO Reject Ho since p-value < aO Reject H, since p-value > aO Reject Ho since z is in the rejection regionO o o

Answered: Image /qna-images/answer/9d73dd86-8c79-4db3-982b-9f9253f9c057.jpg

Answered: For the following tests of hypothese,…

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 sample is selected from a normal population, and resulting data are as follows: 45.2, 51.5, 49.4, 48.9, 52.4, 40.0 Does this data suggest that the population mean is greater than 50? Use a = 0.05. a. State the appropriate hypotheses.. b. Calculate the value of the test statistic. c. Determine the rejection region. d. What is your conclusion? Interpret your conclusion.
q11
Follow the 5 steps in hypothesis testing to solve the problem. Show necessary solution. 5 STEPS IN HYPOTHESIS TESTING: Step 1: Null and Alternative Hypothesis Step 2: Statistical Test Step 3: Critical Regions Step 4: Computation Step 5: Decision and Conclusion
We have provided a sample mean, sample size, and population standard deviation. In each case, use the one-mean z-test to perform the required hypothesis test at the 5% significance level. x = 20, n = 24, σ = 4, H0: μ = 22, Ha: μ ≠ 22
Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 44 of the 51 subjects treated with echinacea developed rhinovirus infections. In a placebo group, 97 of the 110 subjects developed rhinovirus infections. Use a 0.01 significance level to test the claim that echinacea has an effect on rhinovirus infections. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of subjects treated with echinacea and the second sample to be the sample of subjects treated with a placebo. What are the null and alternative hypotheses for the hypothesis test?
a. set up appropriate null and alternative hypotheses of the test b. choose an appropriate test statistic and use the data to find the p-value
What is the corresponding significance level for a confidence level of 99%? A 1 B) 0.1 0.01 D) 0.05
We have provided a sample mean, sample standard deviation, and sample size. In each case, use the one-mean t-test to perform the required hypothesis test at the 5% significance level. x = 21, s = 4, n = 32, H0: μ = 22, Ha: μ<22
A telephone company claims that more than 15% of its customers have at least two telephone lines. The company selects a random sample of 250 customers and finds that 50 have at least two telephone lines. Does the data support the claim? Use a P- value. Which of the following is correct? a. H0: p = 0.15 versus H1: p = 0.15, reject HO at 0.05 level of significance O b. H0: p ≤ 0.15 versus Hl: p > 0.15, at 0.01 level of reject HO significance c. H0: p ≤ 0.15 versus Hl: p > 0.15, not reject HO at 0.01 level of significance O d. H0: p ≤ 0.15 versus H1: p > 0.15, not reject HO at 0.05 level of significance do do
Consider testing the hypotheses Ho: p 0.4 versus Hai p> 0.4. Four possible sample statistics, along with four possible p-values, are given. Match the statistics to their p-values. p= 0.42 p=0.38 p= 0.51 p= 0.46 D
Use the sample data and confidence level given below to complete parts (a) through (d). In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2460 subjects randomly selected from an online group involved with ears. 1005 surveys were returned. Construct a 95% confidence interval for the proportion of returned surveys. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.)
b) Based on sample size of N=31 and sample statistics x = 50.6077 unit, s², = 1.9874 unit? determine the whole population statistics at 90% confidence level, also estimate the population mean from the sample data at 95% confidence level.

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