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In: Statistics and Probability

1. (a) Public health authorities want to estimate the proportion of Australians aged 18-65 who caught...

1.

(a) Public health authorities want to estimate the proportion of Australians aged 18-65 who
caught the flu during winter 2018. If the true proportion is thought to be about 24%, how
large a sample will be needed if we want to be 95% sure that our estimate will be within
0.02 of the true value?

(b) Due to a change in the available funding, the sample actually used for estimating the
prevalence of flu included 1,712 randomly-selected Australians aged 18-65. Of these, 367
reported having a “flu-like illness” during winter 2018. Use these data to calculate a 90%
confidence interval for the proportion of Australians aged 18-65 who had a flu-like illness
during winter 2018.

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orchestra answered 2 years ago
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