CLT for Proportions The proportion of taxpayers who file within 45 days of the tax season is 36.4%. 1. What is the proportion of taxpayers that file after 45 days? 2. If you randomly select 60 taxpayers, what is the probability that at least 40% file within 45 days? 3. If you randomly select 115 taxpayers, what is the probability that at most 35% file within 45 days? 4. If you randomly select 140 taxpayers, what is the probability that between 36% and 39% file within 45 days? 5. Describe this distribution (sample proportion) in statistical notation when n=90
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
CLT for Proportions
The proportion of taxpayers who file within 45 days of the tax season is 36.4%.
1. What is the proportion of taxpayers that file after 45 days?
2. If you randomly select 60 taxpayers, what is the probability that at least 40% file within 45 days?
3. If you randomly select 115 taxpayers, what is the probability that at most 35% file within 45 days?
4. If you randomly select 140 taxpayers, what is the probability that between 36% and 39% file within 45 days?
5. Describe this distribution (sample proportion) in statistical notation when n=90
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