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10.02 Distribution of sample proportions

Interactive practice questions

From a sample of $400$400 young workers in Seattle, $37$37 had amber eyes.

What is the sample proportion of amber eyes for young workers in Seattle?

Easy
< 1min

A manufacturer of cement trucks checked some of the cement trucks being distributed for faults. On one day, $75$75 cement trucks were checked and $16$16 of these were found to have some kind of fault.

What was the sample proportion for faulty cement trucks?

Easy
< 1min

At an electronics store, cameras are sold at prices ranging from $\$150$$150 to $\$630$$630. On a particular day, there are $106$106 cameras on sale and $25$25 of these cost less than $\$260$$260.

If Irene came into the store and selected a camera at random, estimate the probability that camera would cost less than $\$260$$260.

Easy
< 1min

A survey of $115$115 randomly selected people in Busan found that $6$6 of them were aged over $55$55.

A second survey of $2183$2183 randomly selected people in Busan found that $475$475 of them were aged over $55$55.

Easy
1min
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Outcomes

4.5.2.1

understand the concept of the sample proportion 𝑝̂ as a random variable whose value varies between samples, and the formulas for the mean 𝑝 and standard deviation sqrt(𝑝(1−𝑝)/𝑛) of the sample proportion 𝑝̂

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