. A random sample of n = 750 people is selected, of whom 92 are left-handed. Use these sampledata to test the claim that 10% of the population is left handed.Step 1: Null and Alternative HypothesisНо:На:Step 2: Level of SignificanceStep 3: Determine the Critical RegionCritical Region:Step 4: Compute the z-valueComputations:Step 5: Decide whether to accept or reject Ho.Decision:Step 6: Conclusion

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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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1)Remove the four potential outliers of 0, 0, 8, and 20, and then obtain a new histogram without the outliers. Does the data appear to be normally distributed now? 2)Assuming that the four potential outliers of 0, 0, 8, and 20 are not recording errors, repeat the hypothesis test from part (c) (again setting up the hypothesis test and using either the critical value or p-value approach), and compare your results with that obtained in (c). Did you make a different conclusion? 3)Imagine you know have to make a recommendation/conclusion to the company that hired you: Assuming that the four potential outlies are not recording errors, and looking at the two results above, would you recommend using the first test with the outliers or the second test with the outliers removed? There is no right or wrong answer here, I am interested in what you think and your reasoning.
Production records indicate that in normal operation for a certain electronic component, 93% have no faults, 5% have one fault, and 2% have more than one fault. For a random sample of 500 of these components from a week’s output, 458 were found to have no faults; 30, to have one fault; and 12, to have more than one fault. Test, at the 5% level, the null hypothesis that the quality of the output from this week conforms to the usual pattern.
A humane society claims that less than 39% of U.S. households own a dog. In a random sample of 402 U.S. households, 155say they own a dog. At α=0.01, is there enough evidence to support the society's claim? (a) Write the claim mathematically and identify H0 and Ha. (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic. (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.
A problem with a telephone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telephone company. The Sheet 8 contains samples of 20 problems reported to two different offices of a telephone company and the time to clear these problems (in minutes) from the customers' lines: test the Null hypothesis that the time to clear the problem doesn't significantly differ across to centers at the 0.03 level. Sheet 8 Location 1. Location 2 1,48 7,55 1,75 3,75 0,78 12,00 2,85 1,10 0,52 0,60 1,60 0,52 4,15 3,30 3,97 2,10 1,48 0,58 3,10 13,00 1,02 3,75 0,53 0,65 0,93 1,92 1,60 0,60 0,80 1,53 1,05 4,23 6,32…
Two extrusion machines that manufacture steel rods are being compared. In a sample of 1000 rods taken from machine 1, 960 met specifications regarding length and diameter. In a sample of 600 rods taken from machine 2, 582 met the specifications. Machine 2 is more expensive to run, so it is decided that machine 1 will be used unless it can be convincingly shown that machine 2 produces a larger proportion of rods meeting specifications. a) State the appropriate null and alternate hypotheses for making the decision as to which machine to use. b) Compute the P-value. c) Which machine should be used?
It is believed that approximately 12% of the population of the United States is lefthanded. Suppose researchers suspect that the proportion of left-handed people ishigher in certain states than the national average. The researchers conduct a sample of200 randomly selected people in the state of Maine and find that 29 people in thesample are left-handed.a. Write the null hypothesis and alternative hypothesis and define your parameter.b. Show that the necessary conditions (Randomization Condition, 10% Condition,Sample Size Condition) are satisfied to perform a hypothesis test. Briefly explainhow each condition is satisfied.c. Perform the hypothesis test and find the P-value. (To show your work: Writedown what values you are entering into the hypothesis testing calculator.)d. Is there strong evidence that the left-handed rate in the state of Maine is higherthan the national average? Briefly explain how you know.
The manufacturer of a spot remover claims that hisproduct removes 90 percent of all spots. If, in a random sample, only 174 of 200 spots were removed with the man-ufacturer’s product, test the null hypothesis θ = 0.90 against the alternative hypothesis θ < 0.90 at the 0.05level of significance.
Only 25% of registered voters voted in the last election. Will voter participation higher for the upcoming election? Of the 600 randomly selected registered voters surveyed, 192 of them will vote in the upcoming election. Perform a hypothesis test and use a = .05 level of significance? Step (1) Determine the null and alternative hypotheses. Ho: p= 0.25 Ho: p0.25 Step (2) Determine the test statistic and p-value. Test Statistic: 3.9598 p-value = 0.0003 Step (3) Find the critical value for the rejection region ZV Make a decision using the rejection region method. O Reject the null hypothesis. O Fail to reject the null hypothesis. Step (4) Compare the p-value to alpha
Testbank Question 9.37 Suppose you are testing the null hypothesis that a population mean is less than or equal to 46, against the alternative hypothesis that the population mean is greater than 46. If the sample size is 25, σ is known, and alpha = .01, the critical value of z is?
Define the alpha level and the critical region for a hypothesis test.
A)A lecturer claims that their course is not too easy and that on average, students score 60%. We want to verify this claim by performing a single tailed test with the null hypothesis μ=60% vs the hypothesis μ>60%. For this, we take a random sample of 50 students.Decide on the appropriate test statistic and compute the corresponding (positive) bound of the critical region for a single tailed test at the 98% level. B)Consider again the example of the lecturer from above. We obtained a sample of 50 students with a mean of μ=61.3% and a sample standard deviation of 18.3% (percentage points, not percentages of μ!) What is the p-value (0<p<1) for this right-tailed test for the null hypothesis μ=60% vs the alternative hypothesis μ>60%? Give your answer to 3 decimal places.
The local swim team is considering offering a new semi-private class aimed at entry-level swimmers, but needs at minimum number of swimmers to sign up in order to be cost effective. Last year’s data showed that during 8 swim sessions the average number of entry-level swimmers attending was 15. Suppose the instructor wants to conduct a hypothesis test. The alternative hypothesis for this hypothesis test is: "the population mean is less than 15". The sample size is 8, σ is known, and alpha =.05, the critical value of z is?

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A random sample of n = 750 people is selected, of whom 92 are left-handed. Use these sample data to test the claim that 10% of the population is left handed. %3D Step 1: Null and Alternative Hypothesis Ho : Ha: Step 2: Level of Significance Sten 3: Determine the Critical Region