Question
In: Statistics and Probability
You are interested in knowing the proportion of people that are observing the CDC guidelines for...
You are interested in knowing the proportion of people that are observing the CDC guidelines for social distancing during the COVID-19 pandemic. You survey 100 randomly selected people and find that 80 have followed the guidelines.
Construct a 95% confidence interval around the unknown true proportion of people following the guidelines. CALCULATE THE UPPER LIMIT in this question. Use 4 digits of precision
Use the R code below to help you.
> qnorm(0.90)
[1] 1.282
> qnorm(0.95)
[1] 1.645
> qnorm(0.975)
[1] 1.960
> qnorm(0.99)
[1] 2.326
> pnorm(0.90)
[1] 0.8159
> pnorm(0.95)
[1] 0.8289
> pnorm(0.975)
[1] 0.8352
> pnorm(0.99)
[1] 0.8389
Solutions
Expert Solution
Let p denotes the true proportion of people who have followed the guidelines.
To find the upper limit, use qnorm(0.975) = 1.96
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