# NOT RUN {
library(dplyr)
library(ggplot2)
# Take 10 different samples of size n = 50 balls from bowl
bowl_samples_simulated <- bowl %>%
rep_sample_n(50, reps = 10)
# Compute 10 different p_hats (prop red) based on 10 different samples of
# size n = 50
p_hats <- bowl_samples_simulated %>%
group_by(replicate, color) %>%
summarize(count = n()) %>%
mutate(proportion = count/50) %>%
filter(color == "red")
# Plot sampling distribution
ggplot(p_hats, aes(x = proportion)) +
geom_histogram(binwidth = 0.05) +
labs(x = expression(hat(p)), y = "Number of samples",
title = "Sampling distribution of p_hat based 10 samples of size n = 50")
# }
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