Among 800 managers with degrees in business administration, the following data have been accumulated as to their fields of concentration.  Major Top Management  Middle Management Management  180 120 Marketing  120 80 Accounting  150 150 We want to determine if the position in management is independent of field (major) of concentration.  a) State the null and alternative hypotheses to be tested.  b) Complete the contingency table of the expected frequencies. Major Top Management Middle Management Management      Marketing      Accounting     c) Compute the test statistic (chi-square) and round to the second decimal place. The null hypothesis is to be tested at 95% confidence. Determine the critical value for this test. What do you conclude?  State answers and show calculations clearly please

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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Among 800 managers with degrees in business administration, the following data have been accumulated as to their fields of concentration. 

Major Top Management  Middle Management
Management  180 120
Marketing  120 80
Accounting  150 150

We want to determine if the position in management is independent of field (major) of concentration. 

a) State the null and alternative hypotheses to be tested. 

b) Complete the contingency table of the expected frequencies.

Major Top Management Middle Management
Management     
Marketing     
Accounting    

c) Compute the test statistic (chi-square) and round to the second decimal place. The null hypothesis is to be tested at 95% confidence. Determine the critical value for this test. What do you conclude? 

State answers and show calculations clearly please

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