Respuesta :
To find the mean number of respondents who answered "yes" in a poll with a sample size of 8, where \( 49\% \) of respondents answered "yes," we will follow these steps:
Step 1: Convert the percentage to a decimal to make it easier to work with. To do this, divide the percentage by 100:
\[ 49\% = \frac{49}{100} = 0.49 \]
Step 2: Multiply the decimal by the sample size to find the number of respondents who answered "yes":
\[ 0.49 \times 8 = 3.92 \]
Since the number of respondents must be a whole number, we need to consider that 3.92 means that on average, if you were to repeat this poll many times, you would expect about 3.92 people to say "yes" each time. However, in a single poll with a sample size of 8, you can't have a fraction of a respondent. You would either have 3 or 4 people saying "
**The mean number of respondents who answered "yes" is approximately 3.92, but in practice, this would likely be rounded to 4 respondents.**
Step 1: Convert the percentage to a decimal to make it easier to work with. To do this, divide the percentage by 100:
\[ 49\% = \frac{49}{100} = 0.49 \]
Step 2: Multiply the decimal by the sample size to find the number of respondents who answered "yes":
\[ 0.49 \times 8 = 3.92 \]
Since the number of respondents must be a whole number, we need to consider that 3.92 means that on average, if you were to repeat this poll many times, you would expect about 3.92 people to say "yes" each time. However, in a single poll with a sample size of 8, you can't have a fraction of a respondent. You would either have 3 or 4 people saying "
**The mean number of respondents who answered "yes" is approximately 3.92, but in practice, this would likely be rounded to 4 respondents.**
