A health club annually surveys its members. Last year, 33% of the members said they use the treadmill at least four times a week. How large a sample should be selected this year to estimate the percentage of members who use the treadmill at least four times a week? The estimate is desired to have a margin of error of 5% with a 95% level of confidence.

The large  sample n = 174.24

Step-by-step explanation:

Given 33% of the members said they use the treadmill at least four times a week.

Given the margin of error is 5% = 0.05

we know that the margin of error at 95% 0f level of confidence  =

Given standard deviation = 33% = 0.33

cross multiplication , we get

√n = 13.2

squaring on both sides, we get

n = 174.24

Conclusion:-

The large  sample n = 174.24

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: