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A. A manufacturer of apple phone charges claims that only 4% of his production is defective. In a random sample of 120 items, the defect rate is 4.99%. At the 1% level of significance, 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 randomly selected customers at a car dealership in 2020. Model Colour Toyota Hyundai Red 17 19 White 25 35 Black 35 29 Use a 5 percent level of significance to test the null hypothesis that color chosen and car model are independent. i. State the null and alternative hypotheses for this test. ii. Calculate: a. The expected frequency for red vehicle and the Toyota model b. The chis-square contribution, x?, for red vehicle and the Toyota model i. Given that the chi-square test statistic, x2, is 2.1183, find the p-value for test ii. State the conclusion for the test. ii. State 2 limitations of the chi-square test, x².

A. A manufacturer of apple phone charges claims that only 4% of his production is defective. In a random sample of 120 items, the defect rate is 4.99%. At the 1% level of significance, 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 randomly selected customers at a car dealership in 2020. Model Colour Toyota Hyundai Red 17 19 White 25 35 Black 35 29 Use a 5 percent level of significance to test the null hypothesis that color chosen and car model are independent. i. State the null and alternative hypotheses for this test. ii. Calculate: a. The expected frequency for red vehicle and the Toyota model b. The chis-square contribution, x?, for red vehicle and the Toyota model i. Given that the chi-square test statistic, x2, is 2.1183, find the p-value for test ii. State the conclusion for the test. ii. State 2 limitations of the chi-square test, x².

A First Course in Probability (10th Edition)
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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A. A manufacturer of apple phone charges claims that only 4% of his production is defective. In a random sample of 120 items, the defect rate is 4.99%. At the 1% level of significance, 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 randomly selected customers at a car dealership in 2020. Model Colour Тoyota Hyundai Red 17 19 White 25 35 Black 35 29 Use a 5 percent level of significance to test the null hypothesis that color chosen and car model are independent. i. State the null and alternative hypotheses for this test. ii. Calculate: a. The expected frequency for red vehicle and the Toyota model b. The chis-square contribution, x?, for red vehicle and the Toyota model i. Given that the chi-square test statistic, x?, is 2.1183, find the p-value for test ii. State the conclusion for the test. iii. State 2 limitations of the chi-square test, x?.
Transcribed Image Text:A. A manufacturer of apple phone charges claims that only 4% of his production is defective. In a random sample of 120 items, the defect rate is 4.99%. At the 1% level of significance, 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 randomly selected customers at a car dealership in 2020. Model Colour Тoyota Hyundai Red 17 19 White 25 35 Black 35 29 Use a 5 percent level of significance to test the null hypothesis that color chosen and car model are independent. i. State the null and alternative hypotheses for this test. ii. Calculate: a. The expected frequency for red vehicle and the Toyota model b. The chis-square contribution, x?, for red vehicle and the Toyota model i. Given that the chi-square test statistic, x?, is 2.1183, find the p-value for test ii. State the conclusion for the test. iii. State 2 limitations of the chi-square test, x?.
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