A catering company offers three different meals at a gathering. Based on the RSVPs from the guests, this table lists the meal preferences broken down by gender. Typically, caterers notice that the three options seem to be equally likely to be chosen.

Men Women
Chicken 104 182
Seafood 223 157
Beef 189 88
Select the observed and expected frequencies for the male guests that have requested a seafood meal.


Observed: 380
Expected: 190


Observed: 223
Expected: 172


Observed: 380
Expected: 172


Observed: 223
Expected: 190

RATIONALE

If we simply go to the chart then we can directly see the observed is 223.

To find the expected frequency, we need to find the number of occurrences if the null hypothesis is true, which in this case, was that the three options are equally likely, or if the three options were all evenly distributed.

First, add up all the options in the Men's column:

104 plus 223 plus 189 equals 516

If each of these three options were evenly distributed among the 516 men, we would need to divide the total evenly between the three options:

516 divided by 3 equals 172

This means we would expect 172 men to choose chicken, 172 men to choose seafood, and 172 men to choose beef.

CONCEPT
Chi-Square Statistic
In addition to this could you show where the result for this answer would be if you were to plot it with a chi statistic chart. Could you give me an example of comparing the observed and expected frequencies for the male guests choosing a seafood meal to determine if there is a significant difference between the observed data and what would be expected under the assumption of equal likelihood of meal choices.
How do I compare the calculated chi square value here to the critical value you can determine between observed and expected frequency that is statistically significant.how do I use chi square chart here?