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Workers at a private business was given a grade (A, B, C) based on their yearly performance. The data was recorded along with the department they belong. The results obtained using MINITAB are shown below: Expected counts are printed below observed counts A B Total 12 8 7 Accounting (12.960) (7.830) (6.210) 17 10 8 Sales (16.800) (10.150) (8.050) 35 19 11 8. Marketing (18.240) (**) (8.740) 38 Total 48 29 23 100 Chi-sq = 0.0711 + 0.0037 + 0.1005 + 0.0024 + 0.0022 + 0.0003 + 0.0317 + 0.0000 + =0.2746 *** DF = ??, p-value ??? a) Carefully define the null and alternative hypotheses of the x2 test of the above table. b) Find the missing values **, ***, **** ??, ??? c) What is the conclusion of this test? Give reasons for your answer.

Workers at a private business was given a grade (A, B, C) based on their yearly performance. The data was recorded along with the department they belong. The results obtained using MINITAB are shown below: Expected counts are printed below observed counts A B Total 12 8 7 Accounting (12.960) (7.830) (6.210) 17 10 8 Sales (16.800) (10.150) (8.050) 35 19 11 8. Marketing (18.240) (**) (8.740) 38 Total 48 29 23 100 Chi-sq = 0.0711 + 0.0037 + 0.1005 + 0.0024 + 0.0022 + 0.0003 + 0.0317 + 0.0000 + =0.2746 *** DF = ??, p-value ??? a) Carefully define the null and alternative hypotheses of the x2 test of the above table. b) Find the missing values **, ***, **** ??, ??? c) What is the conclusion of this test? Give reasons for your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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please use the Statistical tables provided

Probability Poisson distribution P(A or B) = P(A) + P(B) – P(A and B) P(A and B) = P(A) x P(B) for independent events X- Po(A) P(A and B) = P(A) x P(B|A) for dependent events P(X - x) = ** x! P(A and B) P(B|A) = P(A) Confidence Interval Normal Distribution 1. z-confidence interval: X- N(4, ơ) X-u 2. t-confidence interval: 1. Standard normal: Z - (df -n-1) 3. Confidence interval for proportion: P(1 – P) n Sampling Distribution 1. 4 =4 2. Test Statistics X-4 1. z-test for p : 2= 3. X - µ 2. t-test for u: t = (d.f. = n-1) S/ Vn Discrete Probability Distribution 3. z-test forp: z- » np 2 5 1. EÇX) = µ, = Ex,P, P(1 - P), and np z 5 (where q = 1-p) Var(X) = o = 2(x, -4,)°p, %3D %3D 4. Chi-square test statistic = y0- E) (0-E) Binomial Distribution Σ X- Bin(n, p) n-k P(X - k) - P" (1- n! p (1- n-k k!(n -k)!
Transcribed Image Text:Probability Poisson distribution P(A or B) = P(A) + P(B) – P(A and B) P(A and B) = P(A) x P(B) for independent events X- Po(A) P(A and B) = P(A) x P(B|A) for dependent events P(X - x) = ** x! P(A and B) P(B|A) = P(A) Confidence Interval Normal Distribution 1. z-confidence interval: X- N(4, ơ) X-u 2. t-confidence interval: 1. Standard normal: Z - (df -n-1) 3. Confidence interval for proportion: P(1 – P) n Sampling Distribution 1. 4 =4 2. Test Statistics X-4 1. z-test for p : 2= 3. X - µ 2. t-test for u: t = (d.f. = n-1) S/ Vn Discrete Probability Distribution 3. z-test forp: z- » np 2 5 1. EÇX) = µ, = Ex,P, P(1 - P), and np z 5 (where q = 1-p) Var(X) = o = 2(x, -4,)°p, %3D %3D 4. Chi-square test statistic = y0- E) (0-E) Binomial Distribution Σ X- Bin(n, p) n-k P(X - k) - P" (1- n! p (1- n-k k!(n -k)!
Question 3 Workers at a private business was given a grade (A, B, C) based on their yearly performance. The data was recorded along with the department they belong. The results obtained using MINITAB are shown below: Expected counts are printed below observed counts A в Total 12 8 7 Accounting (12.960) (7.830) (6.210) 17 10 8. Sales (16.800) (10.150) (8.050) 35 19 11 8 Marketing (18.240) (**) (8.740) 38 Total 48 29 23 100 Chi-sq = 0.0711 + 0.0037 + 0.1005 + 0.0024 + 0.0022 + 0.0003 + 0.0317 + 0.0000 + *** =0.2746 DF = ??, p-value = ??? a) Carefully define the null and alternative hypotheses of the x2 test of the above table. b) Find the missing values ***, ****, **** ??, ??? c) What is the conclusion of this test? Give reasons for your answer.
Transcribed Image Text:Question 3 Workers at a private business was given a grade (A, B, C) based on their yearly performance. The data was recorded along with the department they belong. The results obtained using MINITAB are shown below: Expected counts are printed below observed counts A в Total 12 8 7 Accounting (12.960) (7.830) (6.210) 17 10 8. Sales (16.800) (10.150) (8.050) 35 19 11 8 Marketing (18.240) (**) (8.740) 38 Total 48 29 23 100 Chi-sq = 0.0711 + 0.0037 + 0.1005 + 0.0024 + 0.0022 + 0.0003 + 0.0317 + 0.0000 + *** =0.2746 DF = ??, p-value = ??? a) Carefully define the null and alternative hypotheses of the x2 test of the above table. b) Find the missing values ***, ****, **** ??, ??? c) What is the conclusion of this test? Give reasons for your answer.
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