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Freemont Run Club surveyed a random sample of 30 of their members about their running habits. Of the members surveyed, 9 said that they run more than 5 days a week. There are 84 Freemont Run Club members.
Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week?
Choose 1 answer:
(A) 25
(B) 30
(C) 39
(D) 59

Freemont Run Club surveyed a random sample of $30$ of their members about their running habits. Of the members surveyed, $9$ said that they run more than $5$ days a week. There are $84$ Freemont Run Club members. $\newline$ Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than $5$ days a week? $\newline$ Choose $1$ answer: $\newline$ (A) $25$ $\newline$ (B) $30$ $\newline$ (C) $39$ $\newline$ (D) $59$

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Experiment design

Full solution

Q. Freemont Run Club surveyed a random sample of

30

of their members about their running habits. Of the members surveyed,

9

said that they run more than

5

days a week. There are

84

Freemont Run Club members.

\newline

Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than

5

days a week?

\newline

Choose

1

answer:

\newline

(A)

25

\newline

(B)

30

\newline

(C)

39

\newline

(D)

59

Calculate Proportion: Calculate the proportion of surveyed members who run more than $5$ days a week. $\newline$ $9$ out of $30$ members surveyed run more than $5$ days a week. $\newline$ Proportion = $\frac{9}{30}$
Apply Proportion: Apply the proportion to the total number of club members to estimate the number who run more than $5$ days a week. $\newline$ Total members = $84$ $\newline$ Estimated number = Proportion $\times$ Total members $\newline$ Estimated number = $(9/30) \times 84$
Perform Calculation: Perform the calculation to find the estimated number. $\newline$ Estimated number = $(\frac{9}{30}) \times 84$ $\newline$ Estimated number = $0.3 \times 84$ $\newline$ Estimated number = $25.2$
Round Estimated Number: Round the estimated number to the nearest whole number since we can't have a fraction of a person. $\newline$ Estimated number $\approx 25$

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