Question

Suppose a random sample of 924 athletes from the college are asked what their major is. The table below shows the results of the survey Observed Frequencies of Majors from the Sample Outcome Observed Frequency Math Science 286 Arts & Humanities Business & Economics 247 Other 253 138 The distribution of majors at the college is shown in the second column of the table below. Fill in the expected frequencies (Round to the nearest whole number). Frequencies of Majors at the College Expected Outcome Expected Frequency Percent Math Science Arts & Humanities Business & Economics Other CA

Answer 1

1)

expected frequncy,E = expected proportions*total frequency      
total frequency=   924  

observed frequencey, O	expected proportion	expected frequency,E
286	0.300	277
138	0.260	240
247	0.270	249
253	0.170	157

2)

expected frequncy,E = expected proportions*total frequency  
total frequency=   1012

observed frequencey, O	expected proportion	expected frequency,E
196	0.250	253
237	0.250	253
369	0.250	253
210	0.250	253

3)

a)

observed frequencey, O	expected proportion	expected frequency,E
23	1/6	20
18	1/6	20
25	1/6	20
26	1/6	20
13	1/6	20
15	1/6	20

b)

Chi square test for Goodness of fit

c) distribution of roll is uniform