Need Full correct handwritten solution for this....ASAP!!Please be fast.And I'll surely rate positive. (b) The following table gives the results of 250 samples, all of same size, drawn fromthe same population to test the null hypothesis Ho:Ho trueHo falseTotalReject Ho5145150Accept Ho9010100Total95155250Define and calculate:(i) Level of significance (ii) Type-II error (iii) Critical region.

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Answered: (b) The following table gives the…

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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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.
Suppose 26 of 200 tires of brand A failed to last 30000 miles, whereas the corresponding figure for 200 tires of brands B was 32. Test the null hypothesis that there is no difference in the quality of the two kinds of tires at the α=:05 significance level.
A company claims that 50% of their customers prefer product A, 30% prefer product B, and 20% prefer product C. To test this claim, a random sample of 100 customers was taken, and it was found that 50 customers prefer product A, 30 customers prefer product B, and 20 customers prefer product C. Using a 0.05 level of significance, perform a chi-square goodness-of-fit test to determine whether the company's claim is supported by the sample data.
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.
In random samples, 46 of 400 tulip bulbs from onenursery failed to bloom and 18 of 200 tulip bulbs fromanother nursery failed to bloom. Use the χ2 statistic totest the null hypothesis θ1 = θ2 against the alternativehypothesis θ1 Z θ2 at the 0.05 level of significance.
In a random sample of 600 cars making a right turnat a certain intersection, 157 pulled into the wrong lane. Use the 0.05 level of significance to test the null hypoth-esis that the actual proportion of drivers who make this mistake at the given intersection is θ = 0.30 against thealternative hypothesis θ Z 0.30.
To test the significance of a Mann-Whitney U in very small sample sizes, it is first converted into a Z score and the corresponding p-value is evaluated against the alpha level used. True False
A sample of 16 items from population 1 has a sample variance of 5.4 and a sample of 20 items from population 2 has a sample variance of 2.4. Test the following hypotheses at the 0.05 level of significance.
A manufacturer of light bulbs may want to be reasonably certain that less than 3% of the bulbs are defective. Suppose 300 bulbs are randomly selected from a very large shipment. Each tested and 10 defective bulbs are found. Does this provide sufficient evidence for the manufacturer to conclude that the fraction defective in the entire shipment is less than 0.03? The critical value at 1% significance level (rounded off to three decimals) is: A. {Z|Z<-2.325} B. {Z|Z<-3.01}} C. {Z|Z<-2.325 or Z>2.325} D. None of the preceding
A manufacturer of light bulbs may want to be reasonably certain that less than 3% of the bulbs are defective. Suppose 300 bulbs are randomly selected from a very large shipment. Each tested and 10 defective bulbs are found. Does this provide sufficient evidence for the manufacturer to conclude that the fraction defective in the entire shipment is less than 0.03? The correct conclusion at 1% significance level if the test statistic value is 0.3384, is: A. Fail to accept the null hypothesis, the fraction defective in the entire shipment is at least 0.03. B. Do not reject null hypothesis, the fraction defective in the entire shipment is at least 0.03. C. Do not reject null hypothesis, the fraction defective in the entire shipment is less than 0.03. D. Fail to accept the null hypothesis, the fraction defective in the entire shipment is less than 0.03.
If 26 of 200 tires of brand A failed to last 30,000 miles,whereas the corresponding figures for 200 tires of brands B, C, and D were 23, 15, and 32, test the null hypothe-sis that there is no difference in the durability of the four kinds of tires at the 0.05 level of significance.
A manufacturer finds that in a random sample of 100 of its CD players, 96% have no defects. The manufacturer wishes to make a claim about the percentage of nondefective CD players and is prepared to exaggerate. What is the highest rate of nondefective CD players that the manufacturer could claim under the following condition? His claim would not be rejected at the 0.05 significance level if this sample data were used. Assume that a left-tailed hypothesis test would be performed.

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