Suppose we want to test the null hypothesis Ho : p = 0.34 against the alternativehypothesis H1 :p > 0.34. Suppose also that we observed 120 successes in a randomsample of 300 subjects and the level of significance is 0.05. What is%3Dthe distribution of the test statistic for this test?Select one:а.t-distribution with df = 299b. binomial distribution with n =300 and p = 0.5С.standard normal distributiond. normal distribution with mean 0.5 and variance 0.0007

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Answered: Suppose we want to test the null…

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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We wish to conduct a hypotheses test of the form H0: μ1 - μ2 = 0 vs H0: μ1 - μ2 < 0 Both populations are assumed normal with equal variance. We draw 10 observations for the first sample and 20 observations for the second sample. State the decision rule for the test if the level of significance is 0.05.
If a random variable is normally distributed with mean 4.35 and standard deviation 0.59, what is the probability that this random variable will take on values more than 5.2?
In a certain right-sided test with large amples, the z-statistic of the sample is obtained to be 2.3. If the Type error is assumed to be 5%, should we reject the null hypothesis?
Describe the difference in the conclusions that one could draw from a sample T-test when CLT did NOT kick in, as in qqnorm() did not show a normal distribution for the sample size. What could one do instead of a T-test, and what would their test statistic be?
The time necessary to complete the technical interview for the Google intership is normally distributed with a mean of sixty-three minutes, and a standard deviation of twelve minutes. Let the random variable X represent the number of minutes a randomly chosen student takes to complete the assessment. If a sample of three dozen students is taken, what is the standard deviation of the sample mean σX¯ and what is the probability that the sample mean would be 59 minutes or fewer?
The general population (Population 2) has a mean of 30 and a standard deviation of 5, and the cutoff Z score for significance in a study involving one participant is 1.96. If the raw score obtained by the participant is 45, what decisions should be made about the null and research hypotheses?
Two different types of catalysts are used in a chemical process. We want to conduct a hypothesis test to see if there is a difference in the yields at 5% significance level. Assume both populations are normaly distributed. To this end, we collect a simple random sample from each process. Assume equal variances. = = n-11, n=13,x,-90, x 91.4, 8, 4, 8=4.5
Two independent random samples of sizes 8 and 7 gave variances 4.2 and 3.9 respectively. Do you think that such a difference has probability less than 0.05? Justify your answer.
These are the summary statistics for independent simple random samples from two populations. x1=23, s1=2, n1=10, x2=29, s2=7, n2=25 Left tailed test, significance level is 0.05 or 95% What is the test statistic, critical value, and conclusion for the hypothesis test?
A random sample of size 40 is taken from a large population with mean 100 and standard deviation 16. What is the mean of the sampling distribution of the sample means?
A researcher decides to measure anxiety in group of bullies and a group of bystanders using a 23-item, 3 point anxiety scale. Assume scores on the anxiety scales are normally distributed and the variance among the group of bullies and bystanders are the same. A group of 30 bullies scores an average of 21.5 with a sample standard deviation of 10 on the anxiety scale. A group of 27 bystanders scored an average of 25.8 with a sample standard deviation of 8 on the anxiety scale. You do not have any presupposed assumptions whether bullies or bystanders will be more anxious so you formulate the null and alternative hypothesis based on that.
A telephone poll of 500 adult Americans was reported in an issue of Time Magazine. One of the questions asked was “What is the main problem facing the country?” Thirty percent answered “crime”. We are interested in the population proportion of adult Americans who feel that crime is the main problem. Define the random variables X and P’ in words. Which distribution should be used for this problem? Explain your choice. Construct a 97% confidence interval for the population proportion of adult Americans who feel that crime is the main problem. i. State the confidence interval, ii. Sketch the graph, iii. Calculate the error bound 4. Suppose we want to lower the sampling error. What is one way to accomplish that?

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