A random sample of adults in a midwestern state were interviewed twice over a period of two years. Each time, as part of the survey, they were asked how many times their home had been burglarized in the previous 12 months. Respondent First interview Second interview 1 0 2 2 1 1 3 2 0 4 1 0 5 0 1 6 0 0 7 3 0 8 0 0 9 0 1 10 5 1 11 2 2 12 2 2 13 1 0 14 1 0 15 0 0 16 0 2 17 0 1 18 0 1 19 2 3 20 0 1 21 1 0 22 2 0 23 0 0 24 0 0 25 2 1 26 0 2 27 1 0 From performing a hypothesis test to determine if the number of residential burglaries decreased, what is the p-value?
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.
A random sample of adults in a midwestern state were interviewed twice over a period of two years. Each time, as part of the survey, they were asked how many times their home had been burglarized in the previous 12 months.
| Respondent | First interview | Second interview |
| 1 | 0 | 2 |
| 2 | 1 | 1 |
| 3 | 2 | 0 |
| 4 | 1 | 0 |
| 5 | 0 | 1 |
| 6 | 0 | 0 |
| 7 | 3 | 0 |
| 8 | 0 | 0 |
| 9 | 0 | 1 |
| 10 | 5 | 1 |
| 11 | 2 | 2 |
| 12 | 2 | 2 |
| 13 | 1 | 0 |
| 14 | 1 | 0 |
| 15 | 0 | 0 |
| 16 | 0 | 2 |
| 17 | 0 | 1 |
| 18 | 0 | 1 |
| 19 | 2 | 3 |
| 20 | 0 | 1 |
| 21 | 1 | 0 |
| 22 | 2 | 0 |
| 23 | 0 | 0 |
| 24 | 0 | 0 |
| 25 | 2 | 1 |
| 26 | 0 | 2 |
| 27 | 1 | 0 |
From performing a hypothesis test to determine if the number of residential burglaries decreased, what is the p-value?
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