Which of the statements below are true? Select all that apply.
A) Both sample sizes were the same
B) Both samples received similar data
C) Soccer is the 2nd most popular sport
D) Basketball is the least popular sport
A frequency table titled, What is your favorite sport? Sample 1: basketball, 32. baseball, 20. soccer, 27. football, 21. Sample 2: basketball, 36. baseball, 16. soccer, 28. football, 20.
B) Both samples received similar data
no
D) Basketball is the least popular sport
To determine which statements are true, we need to analyze the given information about the frequency of favorite sports in two samples. Let's go through each statement and see if it matches the information provided:
A) Both sample sizes were the same: To determine if the sample sizes are the same, we need to compare the number of respondents in Sample 1 and Sample 2. Looking at the data, we see that Sample 1 has 32+20+27+21=100 respondents, while Sample 2 has 36+16+28+20=100 respondents. Therefore, both sample sizes are indeed the same.
B) Both samples received similar data: To determine if the samples received similar data, we need to compare the frequency of favorite sports between Sample 1 and Sample 2. Looking at the data, we see that the frequencies for basketball, baseball, soccer, and football are not the same between the two samples. Therefore, statement B is not true.
C) Soccer is the 2nd most popular sport: To determine if soccer is the 2nd most popular sport, we need to compare the frequencies of soccer in both samples. From the data, in Sample 1, soccer has a frequency of 27, and in Sample 2, soccer has a frequency of 28. Therefore, statement C is not true.
D) Basketball is the least popular sport: To determine if basketball is the least popular sport, we need to compare the frequencies of basketball in both samples and also consider the frequencies of other sports. From the data, in Sample 1, basketball has a frequency of 32, and in Sample 2, basketball has a frequency of 36. Therefore, basketball is not the least popular sport.
Based on the given information, the only statement that is true is A) Both sample sizes are the same.