Answer :
Answer: The expected count of cake purchases is 66.67 (rounded to the hundreths).
Step-by-step explanation: Hypothesis the bakery is trying to find is if customers are equally likely to buy each product and since the sample is 200, we would have to equally split that between the 3 categories, so the expected counts for Cakes, cookies, and pastries would all be 66.67 (rounded to the hundreths).
The expected count of cake purchases would be 66.67 (rounded to the hundredths).
What is the unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
The results are given as:
Product Observed purchases
Cakes 65
Cookies 68
Pastries 67
To find if customers are equally likely to buy each product and since the sample is 200,
we would have to equally split that between the 3 categories,
The expected count of cake purchases = 200/3
= 66.67
Thus, the expected counts for Cakes, cookies, and pastries would be 66.67 (rounded to the hundredths).
Learn more about the unitary method;
https://brainly.com/question/23423168