A polling company reported that 53% of 2302 surveyed adults said that they play basketball.a. what is the exact value that is 53% of 2302? b. could the result from part (a) be the actual number of adults who said that they play basketball? why or why not? c. What could the actual number of adults who said that they play basketball? d. among the 2302 respondents, 1066 said that they only play hockey. what percentage of respondents said that they only play hockey? This is like a tongue twister I do not get how to solve this. Please help!!

What is the exact value that is

2727​%
of
23022302​?

a. To find the exact value that is 53% of 2302, you need to multiply 2302 by 0.53. This is because 53% can be written as a decimal, 0.53.

Calculating it:
Exact value = 2302 * 0.53

b. The result from part (a) cannot be the actual number of adults who said that they play basketball because it is an estimate based on a sample. The polling company surveyed a subset of adults, and the 53% represents the proportion of adults in that sample who play basketball. It is not guaranteed to be the exact percentage for the entire population of adults.

c. To determine the range of possible numbers for the actual number of adults who said they play basketball, you need to use a confidence interval. Confidence intervals estimate the true population parameter within a specific range. The polling company did not provide a confidence interval in the given information, so we cannot determine the exact number of adults who said they play basketball without more data.

d. To find the percentage of respondents who said they only play hockey, you need to divide the number of respondents who only play hockey by the total number of respondents and then multiply by 100.

Calculating it:
Percentage = (1066 / 2302) * 100

This will give you the percentage of respondents who said they only play hockey among the 2302 respondents.

a. To find the exact value that is 53% of 2302, you can use the formula:

Exact value = (percentage/100) * total number

In this case, the percentage is 53% and the total number is 2302. Therefore:

Exact value = (53/100) * 2302
Exact value ≈ 1219.06

Therefore, the exact value that is 53% of 2302 is approximately 1219.06.

b. The result from part (a) cannot be the actual number of adults who said that they play basketball. This is because the result is a decimal number (1219.06), but the number of adults surveyed must be a whole number.

c. Since the number of adults surveyed must be a whole number, the actual number of adults who said they play basketball could be rounded to the nearest whole number. Therefore, the actual number could be 1219 or 1220, depending on whether the decimal part is closer to 0 or 1.

d. To find the percentage of respondents who said they only play hockey, you need to divide the number of respondents who only play hockey (1066) by the total number of respondents surveyed (2302). Then multiply by 100 to get the percentage.

Percentage = (Number of respondents who only play hockey / Total number of respondents) * 100

Percentage = (1066 / 2302) * 100
Percentage ≈ 46.28%

Therefore, approximately 46.28% of the respondents said they only play hockey.