Answer to Question #120622 in Statistics and Probability for Joseph Se

Question

A report on TV news station claims that 60% of the city’s residents support using limited city funds to hire and train more police officers. A second local news station has picked up this. The second news station takes a random sample of 100 residents and finds that 56 of them support the use of limited funds to hire additional police officers. Find the correct set-up for calculating the p-value for this test?

A. Randomly sample 100 residents of a nearby city, and record the number of residents in the sample who support the hiring of additional police officers. Repeat this many times and calculate the proportion of samples where at least 56% of the residents support the hiring.

B. Roll a 10-sided die 100 times and record the proportion of times you get a 6 or lower. Repeat this many times, and calculate the number of simulations where the sample proportion is 56% or less.

Answer 1

A. Randomly sample 100 residents of a nearby city, and record the number of residents in the sample who support the hiring of additional police officers. Repeat this many times and calculate the proportion of samples where at least 56% of the residents support the hiring