10. Sampling and estimation

Given a sample size of $530$530 and a sample proportion of $40%$40%, find the approximate two-sided $95%$95% confidence interval for the population proportion using the given table.

Give your answer in the form $\left(a,b\right)$(`a`,`b`), and round your answer to two decimal places.

Easy

< 1min

To assist with road and transport planning, the council wants to estimate the proportion of people who use public transport to commute to work in the city.

They asked a sample of $500$500 people who work in the city if they use public transport to commute to work and $72.5%$72.5% of them responded that they did.

Easy

< 1min

Ten samples, each of size $150$150, have their two-sided $90%$90% confidence interval calculated. How many of these samples would we expect to contain the true population proportion?

Easy

< 1min

One hundred samples, each of size $300$300, have their two-sided $95%$95% confidence interval calculated. How many of these samples would we expect to contain the true population proportion?

Easy

< 1min

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