1 2 3 4 5 Ex A researcher wants to determine whether children are more likely to be born on certain days of the week. She will sample 343 births and record the day of the week for each. The null hypothesis is that a birth is equally likely to occur on any day of the week. Compute the expected frequencies. \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline Day & Monday & Tuesday & Wednesday & Thursday & Friday & Saturday & Sunday \\ \hline Expected Births & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ & $\square$ \\ \hline \end{tabular}

Step 1 ：A researcher wants to determine whether children are more likely to be born on certain days of the week. She will sample 343 births and record the day of the week for each. The null hypothesis is that a birth is equally likely to occur on any day of the week.

Step 2 ：The null hypothesis states that a birth is equally likely to occur on any day of the week. This means that the expected frequency for each day of the week is the total number of births divided by the number of days in a week.

Step 3 ：In this case, the total number of births is 343 and there are 7 days in a week. So, we need to divide 343 by 7 to get the expected frequency for each day.

Step 4 ：Using the formula \( \frac{total\_births}{days\_in\_week} \), we substitute the given values to get \( \frac{343}{7} = 49.0 \)

Step 5 ：The expected frequency of births for each day of the week is \(\boxed{49}\)