SOLUTION: Anthrax is a disease that broke out in Sinazongwe distric recently. Assume that the bacteria that causes anthrax attacks one in three of the people exposed to it. Assume further th

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Question 1205116: Anthrax is a disease that broke out in Sinazongwe distric recently. Assume that the bacteria that causes anthrax attacks one in three of the people exposed to it. Assume further that the entire area of Sinazongwe district is exposed to the bacteria. If samples of 70 people of Sinazongwe are taken repeatedly, what would be:
Mean of the sampling distribution of sample proportions?
Standard deviation of the mean of the sampling distribution of sample proportions?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
it attacks 1 in 3.
that makes p = 1/3
that makes q = 2/3 because q = 1 - p
sample size is 70.
sample mean proportion is 1/3.
standard deviation of the mean of the sampling distribution of sample proportions would be equal to sqrt(p * q / n) = sqrt(1/3 * 2/3 / 70) = .056343617.
here's a reference:
https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Introductory_Statistics_(Shafer_and_Zhang)/06%3A_Sampling_Distributions/6.03%3A_The_Sample_Proportion#:~:text=at%20least%2030.-,The%20Sampling%20Distribution%20of%20the%20Sample%20Proportion,interval%20%5B0%2C1%5D.