Compute a 95% contidence for each of the 100 samples: The formula for a confidence interval
for a proportion is: p^zp^. In the case of a 95% confidence interval, z is approximately 1.96 , or
you can find the exact value within R using: \#Find the z conf. level =0.95 zstar \& qnorm(1-(1-
conf. level)/2)
If your sample proportions are saved in the vector "prop. heads" and your standard error is saved
in the variable "SE", the following code will produce the 95% confidence intervals and store
them in the dataframe Cl : HCreate the 95% Confidence Intervals Lower \&- prop. heads - zstar
SE Upper <- prop. heads + zstar*"SE CI< cbind (Lower, Upper) What percentage of all the
confidence intervals computed contain the true parameter (p=0.50) ? You can find this by finding
the sum of all intervals where the lower bound is less than the parameter and the upper bound is
greater than the parameter: 3. Compute an 80% confidence interval for each of the 100 samples.
Copy the R code you used to make these 80% intervals. 4. What percentage of the 80%
confidence intervals contained the true parameter?.
Separation of Lanthanides/ Lanthanides and Actinides
Compute a 95 contidence for each of the 100 samples The formula for.pdf
1. Compute a 95% contidence for each of the 100 samples: The formula for a confidence interval
for a proportion is: p^zp^. In the case of a 95% confidence interval, z is approximately 1.96 , or
you can find the exact value within R using: #Find the z conf. level =0.95 zstar & qnorm(1-(1-
conf. level)/2)
If your sample proportions are saved in the vector "prop. heads" and your standard error is saved
in the variable "SE", the following code will produce the 95% confidence intervals and store
them in the dataframe Cl : HCreate the 95% Confidence Intervals Lower &- prop. heads - zstar
SE Upper <- prop. heads + zstar*"SE CI< cbind (Lower, Upper) What percentage of all the
confidence intervals computed contain the true parameter (p=0.50) ? You can find this by finding
the sum of all intervals where the lower bound is less than the parameter and the upper bound is
greater than the parameter: 3. Compute an 80% confidence interval for each of the 100 samples.
Copy the R code you used to make these 80% intervals. 4. What percentage of the 80%
confidence intervals contained the true parameter?
