Question

The manager of a restaurant tracks the types of dinners that customers order from the menu correct amount of food is ordered from the supplier each week. Data from customer orders last weekly distribution.
Type of Dinner Beef Chicken Fish Pork Vegetarain
Propotion 0.18 0.41 0.15 0.20 0.06

The manager believes that there might be a change in the distribution from last year to this year. A random sample of200 orders was taken from all customer orders placed last week. The following table shows the results of the sample.

Type of Dinner Beef Chicken Fish Pork Vegetarain
Frequency 32 86 34 30 18

Assume each order is independent. For which type of dinner is the value of its contribution to the appropriate test statistic the greatest?

a. beef
b. chicken
c. fish
d. pork
e. vegetarian

Answer 1

Answer:

The answer is "Option E".

Step-by-step explanation:

In order to find the contribution needed, we must use Chi-Square test statistics here.

Chi-square $= \Sigma [\frac{(O -E)^2}{E}]$

Here frequencies O are observed or frequencies E are expected.

Please find the calculation in the attached table.

Hence the contribution Chi-square is the highest for the vegetarian.