A random sample of 100 people was taken. Eighty of the people in the sample favoured Candidate A. We are interested in determining whether or not the proportion of the population in favour of Candidate A is significantly more than 75%.
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A random sample of 100 people was taken. Eighty of the people in the sample favoured Candidate A. We are interested in determining whether or not the proportion of the population in favour of Candidate A is significantly more than 75%.
The test statistic is __
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- Assume that you have selected a random sample of 15 checks from a population of 800 checks. The checks you have selected are the following numbers: 664, 789, 650, 136, 365, 538, 800, 657, 110, 136, 398, 645, 214, 544, and 777. Based on this sample, evaluate the truth of the following statements regarding your findings. Describe why you feel each statement is true or false. a. You have determined that Check No. 365 was not properly signed and was paid to a fictitious vendor. You conclude that fraud exists in the population. b. You have determined that no fraud exists in the sample of 15 checks you evaluated. You conclude that no fraud exists in the population.K Conduct a test at the α = 0.05 level of significance by determining (a) the null and alternative hypotheses, (b) the test statistic, and (c) the P-value. Assume the samples were obtained independently from a large population using simple random sampling. Test whether p₁> P2. The sample data are x₁ = 116, n₁ = 244, x2 = 132, and n₂ = 313. (a) Choose the correct null and alternative hypotheses below. OA. Ho P1 P2 versus H₁: P1 P2 OB. Ho P₁ P2 versus H₁: P₁ P2 OD. Ho p₁ =0 versus H₁:.p₁ #0 (b) Determine the test statistic. Zo= (Round to two decimal places as needed.) (c) Determine the P-value. The P-value is (Round to three decimal places as needed.) What is the result of this hypothesis test? OA. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ #p2- OB. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p₁ P2- OD. Reject the null hypothesis because there is sufficient evidence to conclude that p₁…Which of the following would be an appropriate null hypothesis? A. The mean of a population is equal to 55. B. The mean of a sample is equal to 55. OC. The mean of a population is greater than 55. OD. Only (a) and (c) are true. Question 2 of 13 Which of the following would be an appropriate alternative hypothesis? A. The mean of a population is equal to 55. OB. The mean of a sample is equal to 55. OC. The mean of a population is greater than 55. D. The mean of a sample is greater than 55. 0.2
- The College Board reported the following mean scores for the three parts of the SAT: Assume that the population standard deviation on each part of the test is = 100. For a random sample of 30 test takers, what is the sampling distribution of for scores on the Critical Reading part of the test? For a random sample of 60 test takers, what is the sampling distribution of for scores on the Mathematics part of the test? For a random sample of 90 test takers, what is the sampling distribution of for scores on the Writing part of the test?You are testing the null hypothesis that there is no relationship between two variables. X and Y. From your sample of n = 20, you determine that SSR-80 and SSE 20. Complete parts (a) through (e) below. a. What is the value of FSTAT? State the hypotheses to test. Choose the correct answer below. OA Ho B₁50 H₁: B₁>0 OC. Ho B₁0 FSTAT H₁: B₁ =0 =72 (Round to the nearest integer as needed.) b. At the a=0.05 level of significance, what is the critical value? The critical value is 4.41 (Round to two decimal places as needed.) c. Based on your answers to (a) and (b), what statistical decision should you make? OA. Reject Ho. There is no evidence that there is a relationship between X and Y. OB. Do not reject Ho. There is no evidence that there is a relationship between X and Y. OC. Do not reject Ho. There is evidence that there is a relationship between X and Y. D. Reject Ho. There is evidence that there is a relationship between X and Y. d. Compute the correlation coefficient by first…You are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of n = 20, you determine that SSR = 80 and SSE 20. Complete parts (a) through (e) below. a. What is the value of FSTAT? State the hypotheses to test. Choose the correct answer below. OA H B₁50 H₁ B₁0 OC. Ho B₁ #0 H₁ = B₁ = 0 = 72 (Round to the nearest integer as needed) FSTAT = b. At the a=0.05 level of significance, what is the critical value? The critical value is 4.41 (Round to two decimal places as needed.) c. Based on your answers to (3) and (b), what statistical decision should you make? A. Reject H. There is no evidence that there is a relationship between X and Y. OB. Do not reject H. There is no evidence that there is a relationship between X and Y. OC. Do not reject H,. There is evidence that there is a relationship between X and Y D. Reject H. There is evidence that there is a relationship between X and Y. d. Compute the correlation coefficient by first…
- You are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of n = 20, you determine that SSR 80 and SSE 20. Complete parts (a) through (e) below. a. What is the value of FSTAT? State the hypotheses to test. Choose the correct answer below. OA H₂ B₁50 H₁ B₁>0 OC. H₂ B₁ = 0 H₁ B₁₁ =0 FSTAT 72 (Round to the nearest integer as needed.) b. At the a=0.05 level of significance, what is the critical value? The critical value is 4.41 (Round to two decimal places as needed.) c. Based on your answers to (a) and (b). what statistical decision should you make? OA. Reject Ho- There is no evidence that there is a relationship between X and Y. OB. Do not reject Ho. There is no evidence that there is a relationship between X and Y. OC. Do not reject Ho. There is evidence that there is a relationship between X and Y. D. Reject Ho. There is evidence that there is a relationship between X and Y. d. Compute the correlation coefficient by first…A sample of n=16 observations is drawn from a normal population with µ=1000 andσ=200. Find the following.i) P(X >1050)An engineer wishes to design a test to find the mean resistance of a wire. He wants to determine a sample size so that if the mean is different than 0.8 ohms (say, in reality the mean is more than 0.15 ohms different from 0.8 in either direction), the test will detect this with high probability, like 90%. The standard deviation is known to be 0.9 and the significance level of the test 0.08. What is the required sample size? 110.25 X
- Suppose you're given a data set that classifies each sample unit into one of four categories: A, B, C, the data as A = 1, B=2, C = 3, and D=4. Are the data consisting of the classifications A, B, C, and D or quantitative? Are the data consisting of the classifications A, B, C, and D qualitiative or quantitative? OA. Qualitative, because they are measured on a naturally occuring numerical scale. B. Quantitative, because they are measured on a naturally occuring numerical scale. C. Quantitative, because they can only be classified into categories. D. Qualitative, because they can only be classified into categories. *** After the data are input as 1, 2, 3, or 4, are they qualitative or quantitative? OA. Qualitative, because they cannot be meaningfully added, subtracted, multiplied, or divided. B. Qualitative, because they are measured on a naturally occurring numerical scale. OC. Quantitative, because they are measured on a naturally occurring numerical scale. OD. Quantitative, because…Review each of the following independent sets of conditions. For each condition, calculatethe (1) sample rate of deviation, (2) ULRD, and (3) allowance for sampling risk (n = samplesize, d = deviations, ROO = risk of overreliance). What is your conclusion regarding therelationship of each of these factors to the ULRD based on comparing the ULRD across different combinations of these factors?a. n = 100, d = 8, ROO = 5%.b. n = 100, d = 4, ROO = 5%.c. n = 100, d = 8, ROO = 10%Given the following grades on s test: 86, 92, 100, 93, 89, 95, 79, 98, 68, 62, 71, 75, 88, 86, 93, 81, 100, 86, 96, 52; What is the percentage of scores lying within one standard deviation from the mean? Two standard deviations from the mean? Are these results consistent with what