Debbie collected two random samples of 100 citizens each, with the results listed below. She made the inference that the least popular coffee shop from the survey is Bill's Beans. Is her inference correct?
A frequency table titled, What is your favorite coffee shop in town? Sample 1: Bill's Beans, 34. Starbucks, 24. Buzz Cafe, 42. Sample 2: Bill's Beans, 36. Starbucks, 27. Buzz Cafe, 37.
From the given data, Debbie collected two samples of 100 citizens each. In both samples, the number of people who voted for Bill's Beans as their favorite coffee shop is 34 and 36 respectively.
To determine if her inference is correct, we need to compare the number of people who voted for Bill's Beans with the number of people who voted for other coffee shops in both samples.
In Sample 1, the number of people who voted for Starbucks is 24, and the number of people who voted for Buzz Cafe is 42.
In Sample 2, the number of people who voted for Starbucks is 27, and the number of people who voted for Buzz Cafe is 37.
Comparing the results, we can see that in both samples, Bill's Beans has the highest number of votes among the three coffee shops. Therefore, Debbie's inference that Bill's Beans is the least popular coffee shop is incorrect. Bill's Beans is actually the most popular coffee shop based on the survey results.
so yes or no
Apologies for the confusion. No, Debbie's inference that Bill's Beans is the least popular coffee shop is incorrect. Bill's Beans is actually the most popular coffee shop based on the survey results.
To determine if Debbie's inference is correct, we can compare the frequencies of Bill's Beans in both samples and see if it consistently ranks as the least popular coffee shop.
In Sample 1, Bill's Beans has a frequency of 34, while in Sample 2, it has a frequency of 36. From these numbers, we can see that Bill's Beans is more popular in Sample 2 compared to Sample 1.
Therefore, Debbie's inference that Bill's Beans is the least popular coffee shop based on the survey results is incorrect. It seems that Bill's Beans is actually more popular than Starbucks in this sample.
To make a valid inference, we would need to conduct a proper statistical analysis, such as calculating the proportions or conducting hypothesis testing, to determine the level of significance and establish if these differences are statistically significant.