A poll was conducted to determine if there was any possible connection between men and women who live in a certain city and the favorability of a mayor in the city. In the poll, of the 400 men selected, 210 reported being in favor of the mayor. Of the 400 women selected, 190 also reported being in favor of the mayor. Assuming gender has nothing to do with favorability, the probability of these results occurring by chance is calculated to be about 0.16. Interpret the results of the calculation at the 0.05 level of significance. Select the correct answer below: A. It is expected that 210 of every 400 men in this city will be in favor of the mayor. B.The difference in the proportions is not statistically significant because the probability is greater than 0.05. C. Gender has no relation to the favorability of this mayor. D. The difference in the proportions shows that gender could have an association with how favorable the mayor is.
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 poll was conducted to determine if there was any possible connection between men and women who live in a certain city and the favorability of a mayor in the city. In the poll, of the 400 men selected, 210 reported being in favor of the mayor. Of the 400 women selected, 190 also reported being in favor of the mayor. Assuming gender has nothing to do with favorability, the probability of these results occurring by chance is calculated to be about 0.16. Interpret the results of the calculation at the 0.05 level of significance.
- Select the correct answer below:
A. It is expected that 210 of every 400 men in this city will be in favor of the mayor.
B.The difference in the proportions is not statistically significant because the probability is greater than 0.05.
C. Gender has no relation to the favorability of this mayor.
D. The difference in the proportions shows that gender could have an association with how favorable the mayor is.
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