Let p₁ and p2 be the respective proportions of foreign students in two universities. Weshall test HO: p₁ = P2 against the alternative hypothesis H1: p1>p2.(a) Define a critical region that has an a = 0.05 significance level.(b) If respective random samples of sizes n₁ = 900 and n₂ = 700 students having77 foreign students, what is your conclusion?(c) What would your decision be with a significance level of a = 0.01?(d)What is the p-value of your test?= 135 and y₂ =

Answered: Image /qna-images/answer/5b7ae80c-8da9-43c8-9763-b16ecbd6fad9.jpg

Answered: students in two universities. We shall…

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. We test if the majority of AUM students are females. We collected a sample with sample size 25 and having 20 females. Perform the test with a significance level a = 0.01. Use zo.01 = 2.33, zo.005 = 2.58 (a) State the null and alternative hypothesis and find the test statistic. (b) Find the critical value for the test and conclude. (c) Find the p-value and conclude. (d) Find a 99% confidence interval and conclude.
You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.13. You use a significance level of α=0.05α=0.05. H0:p=0.13H0:p=0.13 H1:p<0.13H1:p<0.13You obtain a sample of size n=632 in which there are 76 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:μ1=μ2Ho:μ1=μ2 Ha:μ1>μ2Ha:μ1>μ2 You obtain the following two samples of data. What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? For this calculation, use the degrees of freedom reported from the technology you are using. (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null
You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.      Ho:p=0.33Ho:p=0.33      Ha:p<0.33Ha:p<0.33You obtain a sample of size n=724n=724 in which there are 206 successful observations.What is the critical value for this test? (Round answer to three decimal places.)critical value = What is the test statistic for this sample? (Do not round in between steps. Round only at the end to three decimal places.)test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.33. There is not sufficient evidence to warrant rejection of the claim that the population proportion is less than 0.33. The sample data support the claim that the population proportion is less than…
10 .You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.      Ho:p1=p2Ho:p1=p2      Ha:p1≠p2Ha:p1≠p2You obtain a sample from the first population with 97 successes and 375 failures. You obtain a sample from the second population with 76 successes and 189 failures. test statistic = [three decimal accuracy] p-value = [four decimal accuracy] The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis As such, the final conclusion is that... There is sufficient evidence to support that the first population proportion is not equal to the second population proportion. There is not sufficient evidence to support that the first population proportion is not equal to the second population proportion.
You are conducting a study to see if the accuracy rate for fingerprint identification is significantly more than 0.24. You use a significance level of α=0.001α=0.001.      H0:p=0.24H0:p=0.24      H1:p>0.24H1:p>0.24You obtain a sample of size n=383n=383 in which there are 100 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
Suppose the nutrition information on the package of Matilde's favorite brand of chips states that a serving size of 25 g equals about 12 chips. That means, on average, each chip should weigh 2.08 g. Matilde decides to test the accuracy of this serving size information. She plans to conduct a one-sample t-test with a significance level of a = 0.10 to test the null hypothesis, Ho: u = 2.08, against the alternative hypothesis, H1: µ # 2.08, where u is the average weight of a chip. Matilde selects a random sample of unbroken chips to weigh. She does not know the population standard deviation nor the distribution of chip weights, but she has confirmed that her sample does not contain any outliers. The summary statistics for her test are shown in the following table. Sample size Sample mean Sample standard deviation Test statistic Probability value P-value 45 2.04 0.14 -2.076 0.044 Based on these results, complete the following sentences to state the decision and conclusion of the test.…
You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10. Ho:p1≥p2Ho:p1≥p2 Ha:p1<p2Ha:p1<p2You obtain a sample from the first population with 240 successes and 413 failures. You obtain a sample from the second population with 321 successes and 390 failures. critical value = [three decimal accuracy] test statistic = [three decimal accuracy] The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis As such, the final conclusion is that... There is sufficient evidence to support that the first population proportion is less than the second population proportion. There is not sufficient evidence to support that the first population proportion is less than the second population proportion.
You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly more than 0.69. You use a significance level of α=0.01α=0.01. H0:p=0.69H0:p=0.69 H1:p>0.69H1:p>0.69You obtain a sample of size n=445n=445 in which there are 338 successes.What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This p-value leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is more than 0.69. There is not sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is more than 0.69. The sample data support the claim that the proportion of men…
Measurements of the sodium content in samples of two brands of chocolate yielded the following results: Brand A- n= 9, s = 2.642 , Brand B- n 13, s = 6.409 . Can you conclude, at the 1% significance level, that the sodium content is more variable in Brand B ? (Assume that sodium content is normally distributed.) (A) Yes (B) No
In a clinical trial, 23 out of 897 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.1% of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.1% of this drug's users experience flulike symptoms as a side effect at the a = 0.01 level of significance? Because npo (1- Po) = V 10, the sample size is 5% of the population size, and the sample V the requirements for testing the hypothesis V satisfied. (Round to one decimal place as needed.) What are the null and alternative hypotheses? Ho: versus H1: (Type integers or decimals. Do not round.) Find the test statistic, zo- Zo = (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Choose the correct conclusion below. A. Since P-value a, reject the null hypothesis and conclude that there is not sufficient evidence that more than 2.1% of the users experience flulike…

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