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.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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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.
 
 
 
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