Question

A restaurant owner wanted to know if he was providing good customer service. He asked is customers when they left to mark a box good service or bad service. He randomly selected 10 responses. The results were as follows. Good, good, bad, good, bad, good, bad, good, good, bad Estimate what proportion of the customers were "good" with their customer service.

Answer 1

To estimate the proportion of 'good' customer service ratings, divide the number of 'good' responses (6) by the total number of responses (10), resulting in an estimated proportion of 0.6 or 60%.

Step-by-step explanation:

The student is asking about estimating the proportion of customers who rated the customer service as "good" at a restaurant. To estimate this proportion, we can use the provided sample data. From the 10 randomly selected responses, there are 6 "good" and 4 "bad" responses. The estimated proportion of "good" customer service is calculated by dividing the number of "good" responses by the total number of responses.

The calculation is as follows:

Proportion of 'good' service = Number of 'good' responses ÷ Total number of responses
= 6 ÷ 10
= 0.6 or 60%

Therefore, the estimated proportion of customers who were satisfied with the customer service is 60%.

Answer 2

To estimate the proportion of customers who were "good" with the customer service, we can calculate the sample proportion based on the given data. Out of the 10 randomly selected responses, we count the number of "good" responses and divide it by the total number of responses.

Given responses: Good, Good, Bad, Good, Bad, Good, Bad, Good, Good, Bad

Number of "good" responses: 6

Total number of responses: 10

Sample proportion of customers who were "good" with customer service:

Proportion = Number of "good" responses / Total number of responses

Proportion = 6 / 10

Proportion = 0.6

Therefore, based on the sample, we can estimate that approximately 60% of the customers were "good" with their customer service.