A travel agency is interested in finding out if different age groups frequent different Spring Break destinations, in order to better target the appropriate audiences. A random sample of college Spring Break vacationers produces the results given in the table below. Is there enough evidence at the 0.010.01 level of significance to show that there is a relationship between age (by college classification) and destination? Observed Sample of College Students Beach Mountains City Home Total Freshman 13 6 9 10 38 Sophomore 23 6 11 8 48 Junior 21 11 13 19 64 Senior 26 25 10 16 77 Total 83 48 43 53 227 Step 1 of 4: Calculate the expected value for the number of sophomores going to the mountains during Spring Break. Round your answer to six decimal places. Step 2 or 4: State the null hypothesis. Step 3 of 4: Compute the value of the test statistic. Round your answer to three decimal places, if necessary. (Note: If calculating by hand, be sure to use at least six decimal places in numbers for all intermediate calculations to ensure accuracy of the result ) Step 4 of 4: Draw a conclusion and interpret the decision.

A travel agency is interested in finding out if different age groups frequent different Spring Break destinations, in order to better target the appropriate audiences. A random sample of college Spring Break vacationers produces the results given in the table below. Is there enough evidence at the 0.010.01 level of significance to show that there is a relationship between age (by college classification) and destination? Observed Sample of College Students Beach Mountains City Home Total Freshman 13 6 9 10 38 Sophomore 23 6 11 8 48 Junior 21 11 13 19 64 Senior 26 25 10 16 77 Total 83 48 43 53 227 Step 1 of 4: Calculate the expected value for the number of sophomores going to the mountains during Spring Break. Round your answer to six decimal places. Step 2 or 4: State the null hypothesis. Step 3 of 4: Compute the value of the test statistic. Round your answer to three decimal places, if necessary. (Note: If calculating by hand, be sure to use at least six decimal places in numbers for all intermediate calculations to ensure accuracy of the result ) Step 4 of 4: Draw a conclusion and interpret the decision.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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	Beach	Mountains	City	Home	Total
Freshman	13	6	9	10	38
Sophomore	23	6	11	8	48
Junior	21	11	13	19	64
Senior	26	25	10	16	77
Total	83	48	43	53	227