a sample of 259 adults is selected. the adults are classified according to voter registration status…

a sample of 259 adults is selected. the adults are classified according to voter registration status (\registered\ or \not registered\). they are also classified according to preferred source of current events information (\television\, \newspapers\, \radio\, or \internet sites\). the results are given in the contingency table below.\n| | registered | not registered |\n|--|--|--|--| \n| television | 28 | 37 |\n| newspapers | 30 | 43 |\n| radio | 19 | 15 |\n| internet sites | 42 | 45 |\namong the adults in the sample who prefer to obtain their information through television, what is the relative frequency of those who are registered to vote?\nround your answer to two decimal places.

a sample of 259 adults is selected. the adults are classified according to voter registration status (\registered\ or \not registered\). they are also classified according to preferred source of current events information (\television\, \newspapers\, \radio\, or \internet sites\). the results are given in the contingency table below.\n| | registered | not registered |\n|--|--|--|--| \n| television | 28 | 37 |\n| newspapers | 30 | 43 |\n| radio | 19 | 15 |\n| internet sites | 42 | 45 |\namong the adults in the sample who prefer to obtain their information through television, what is the relative frequency of those who are registered to vote?\nround your answer to two decimal places.

Answer

Explanation:

Step1: Calculate total number of registered adults

Add up the number of registered adults in each category: $28 + 30+19 + 42=119$.

Step2: Calculate total number of adults in the sample

Add up all the values in the table: $28+37 + 30+43+19+15+42+45 = 259$.

Step3: Calculate relative - frequency

Relative frequency of registered adults $=\frac{\text{Number of registered adults}}{\text{Total number of adults in the sample}}=\frac{119}{259}\approx0.46$.

Answer:

$0.46$