Kindly answer A and B A. A manufacturer of apple phone charges claims that only 4% of his production isdefective. In a random sample of 120 items, the defect rate is 4.99%. At the 1% level ofsignificance, test the manager's claim.i. State the null and alternative hypotheses for the test.ii. Calculate the value of the test statistic for this test.iii. Determine the critical region(s) for this test.iv. State the conclusion of this test. Give a reason for your answer.B. The table below shows the color and the model of cars purchased by 160 randomlyselected customers at a car dealership in 2020.ModelColourТoyotaHyundaiRed1719White2535Black3529Use a 5 percent level of significance to test the null hypothesis that color chosen and car modelare independent.i.State the null and alternative hypotheses for this test.ii.Calculate:a. The expected frequency for red vehicle and the Toyota modelb. The chis-square contribution, x?, for red vehicle and the Toyota modeli.Given that the chi-square test statistic, x?, is 2.1183, find the p-value for testii.State the conclusion for the test.iii.State 2 limitations of the chi-square test, x?.

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Answered: A. A manufacturer of apple phone…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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.
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.
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?
(1) Conduct a hypothesis test, at the 5% level of significance, to determine whether ? is significant (2) What would be the growth of the plant if 4g of fertilizer and 7g of ater was given to it daily? (3) Carry out an F -test at the 1% significance level to determine whether the model is significant
Find the t-value that form the boundaries of the critical region for a two-tailed test with a= 0.01 and a sample size of 25.
A study comparing three different treatment conditions is summarized below. Is there a significant difference between any of the treatment groups? Evaluate at the .05 significance level. Show all calculations. Treatment 1: n = 10 T = 10 SS = 27 Treatment 2: n = 10 T = 20 SS = 16 Treatment 3: n = 10 T = 30 SS = 23 N = 30 G = 60 capital sigma space X squared space equals space 206 · State the null and alternate hypotheses · Identify the critical F value · Calculate: SS (total, within, between) df (total, within, between) MS (within, between) F · State your conclusion about the null hypothesis. · What percentage of variance is explained by treatment condition?
Define the alpha level and the critical region for a hypothesis test.
Consider number of male doctors in military and civilian hospitals. Test claim there is a smaller proportion of male doctors in military than in civilian life at alpa= 0.05 Military 1 Civilian 2 Male doctors 358 6786 Total doctors 407 7363 a. At the 0.05 level of significance, the data provides insufficient evidence to conclude that the population proportion of male military doctors is less than the population proportion of male civilian doctors. b. At the 0.05 level of significance, the data provides sufficient evidence to conclude that the population proportion of male military doctors is more than the population proportion of male civilian doctors. c. At the 0.05 level of significance, the data provides insufficient evidence to conclude that the population proportion of male military doctors is more than the population proportion of male civilian doctors. d. At the 0.05 level of significance, the data provides sufficient evidence to conclude…
Identify the null and alternative hypothesis, find the critical value and identify the rejection region, calculate chi-square, decide whether to accept or reject the null hypothesis, and write an APA format results statement.
(a) state the null and alternative hypotheses, (b) compute the test statistic, (c) determine the critical value and sketch the rejection region and non-rejection region in the normal curve.
From a sample of 14 observations, an analyst calculates a t-statistic to test a hypothesis that the population mean is equal to zero. If the analyst chooses a 5% significance level, the appropriate critical value is: A. less than 1.80. B. greater than 2.16. C. between 1.80 and 2.16.
Following are the protein contents measured in two types of species:Species 1: 0.72 1.12 0.81 0.89 0.72 0.81 1.01 0.75 0.83Species 2: 1.21 0.93 0.80 1.12 1.22 0.94 0.87 i) Assuming normality, test the hypothesis that the two species have the sameaverage protein contents by using 5-step hypothesis testing procedure at 5 %level of significance, and using the critical values approach.ii) Calculate the p-value of this test and make decision.iii) Write down the standard error of this test and calculate its numerical value ?

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