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Among the literature on quitting smoking are data detalling the relative successfulness of people of different ages in quitting smoking A study of 400 adults who began various smoking cessation programs produced the data in the table below In the table each participant is classified according to two variables length of their smoking cessation period Less than two weeks Between two weeks and one year or At least one year and age 21 34 or 35 and over In the table less than two weeks means that the individual returned to smoking within two weeks of beginning the program between two weeks and one year means that the individual lasted the first two weeks without smoking but retuned to smoking within a year and at least one year means that the individual has not smoked for at least a year since beginning the program The table is a contingency table whose cells contain the respective observed frequencies of classifications of the 400 smokers In addition three of the cells have blanks beneath the observed frequencies Fill in these blanks with the frequencies expected if the two variables age and length of the smoking cessation period are independent Round your answers to two or more decimal places Send data to Excel Age 21 34 35 and over Total Length of smoking cessation period Less than two weeks 69 32 101 Between two weeks and one year 113 79 192 At least one year 66 41 0 107 Total 248 152 400 X

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