2. Transit Railroads is interested in the relationship between travel distance and the ticket class purchased. A random sample of 200 passengers is taken. The table shows the results. The railroad wants to know if a passenger’s choice in ticket class is independent of the distance they must travel. i) State the hypotheses. H0 : _______ Ha : _______ ii) State the distribution to use for the test. Name the type of test. iii) How many passengers are expected to travel between 201 and 300 miles and purchase second-class tickets? iv) What is the df, test statistic, p-value? v) What can you conclude at the 5% level of significance?

MATLAB: An Introduction with Applications
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2. Transit Railroads is interested in the relationship between travel distance and the ticket class purchased. A random sample of 200 passengers is taken. The table shows the results. The railroad wants to know if a passenger’s choice in ticket class is independent of the distance they must travel.

i) State the hypotheses. H0 : _______ Ha : _______ ii) State the distribution to use for the test. Name the type of test. iii) How many passengers are expected to travel between 201 and 300 miles and purchase second-class tickets? iv) What is the df, test statistic, p-value? v) What can you conclude at the 5% level of significance?

Traveling
Third class Second class First class Total
Distance
1-100 miles
21
14
41
101-200 miles
18
16
8
42
201-300 miles
16
17
15
48
301-400 miles
12
14
21
47
401-500 miles
10
22
Total
73
67
60
200
Transcribed Image Text:Traveling Third class Second class First class Total Distance 1-100 miles 21 14 41 101-200 miles 18 16 8 42 201-300 miles 16 17 15 48 301-400 miles 12 14 21 47 401-500 miles 10 22 Total 73 67 60 200
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