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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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.
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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