Test for single proportions
In Chapter 1, you calculated a p-value for a test hypothesizing that the proportion of late shipments was greater than 6%. In that chapter, you used a bootstrap distribution to estimate the standard error of the statistic. A simpler alternative is to use an equation for the standard error based on the sample proportion, hypothesized proportion, and sample size.
\(z = \dfrac{\hat{p} - p_{0}}{\sqrt{\dfrac{p_{0}*(1-p_{0})}{n}}}\)
Let's revisit the p-value using this simpler calculation.
late_shipments is available; dplyr is loaded.
This exercise is part of the course
Hypothesis Testing in R
Hands-on interactive exercise
Have a go at this exercise by completing this sample code.
# Hypothesize that the proportion of late shipments is 6%
p_0 <- ___
# Calculate the sample proportion of late shipments
p_hat <- ___
# Calculate the sample size
n <- ___