Suppose a random sample of 888 adults from your town are surveyed. The table below shows the results of the survey.
Observed Frequencies Job Types the Sample
\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|}{ Outcome } & Observed Frequency \\
\hline Blue Collar & 213 \\
\hline White Collar & 293 \\
\hline Pink Collar & 338 \\
\hline Unemployed & 44 \\
\hline
\end{tabular}

The job type distribution for the entire state are summarized in second column of the table below. Fill in the expected frequencies.
Frequencies of Job Types in the State
\begin{tabular}{|c|c|c|}
\hline Outcome & \begin{tabular}{c}
Expected \\
Percent
\end{tabular} & Expected Frequency \\
\hline Blue Collar & 21 & \\
\hline White Collar & 27 & \\
\hline Pink Collar & 46 & \\
\hline Unemployed & 6 & \\
\hline
\end{tabular}

Hint: Helpful Video [ [+]

Step 1 ：The problem provides the job type distribution for the entire state and a random sample of 888 adults from your town. The task is to calculate the expected frequencies of each job type in the sample.

Step 2 ：The expected frequency for each job type can be calculated by multiplying the total sample size by the expected percent for each job type.

Step 3 ：For example, the expected frequency for Blue Collar jobs can be calculated as follows: Expected Frequency (Blue Collar) = Total Sample Size * Expected Percent (Blue Collar). This calculation needs to be done for each job type.

Step 4 ：Let's calculate the expected frequencies for each job type: \n Blue Collar: \(888 * 0.21 = 186.48\) \n White Collar: \(888 * 0.27 = 239.76\) \n Pink Collar: \(888 * 0.46 = 408.48\) \n Unemployed: \(888 * 0.06 = 53.28\)

Step 5 ：The expected frequencies for each job type are approximately as follows: \n Blue Collar: \(\boxed{186.48}\) \n White Collar: \(\boxed{239.76}\) \n Pink Collar: \(\boxed{408.48}\) \n Unemployed: \(\boxed{53.28}\)