A team of researchers in the 1960s was interested in whether cigarette smoking sales could be used to predict the incident of bladder cancer deaths across populations. They surveyed 15 major cities in the United States and gathered data on how many cigarettes were sold per capita (i.e., number of cigarettes per person living in the city) and the number of bladder cancer deaths per 100,000 people. The data are below. Cigarette Sales: 18.2, 25.82, 18.24, 28.60, 31.1, 33.6, 40.46, 28.27, 20.1, 27.91, 26.18, 22.12, 21.84, 23.44, 21.58 Bladder Cancer Deaths: 2.9, 3.52, 2.99, 4.46, 5.11, 4.78, 5.6, 4.46, 3.08, 4.75, 4.09, 4.23, 2.91, 2.86, 4.65 a) What are the null and alternative hypotheses for this study? What statistical test should be used for this study? Justify your answer. b) What are the explanatory and response variables in this study? Justify your answer. c) What percent of the variability in the response variable is explained by the explanatory variable? Is the relationship between the two variables significant or not?
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.
5. A team of researchers in the 1960s was interested in whether cigarette smoking sales could be used to predict the incident of bladder cancer deaths across populations. They surveyed 15 major cities in the United States and gathered data on how many cigarettes were sold per capita (i.e., number of cigarettes per person living in the city) and the number of bladder cancer deaths per 100,000 people. The data are below.
Cigarette Sales: 18.2, 25.82, 18.24, 28.60, 31.1, 33.6, 40.46, 28.27, 20.1, 27.91, 26.18, 22.12, 21.84, 23.44, 21.58
Bladder Cancer Deaths: 2.9, 3.52, 2.99, 4.46, 5.11, 4.78, 5.6, 4.46, 3.08, 4.75, 4.09, 4.23, 2.91, 2.86, 4.65
a) What are the null and alternative hypotheses for this study? What statistical test should be used for this study? Justify your answer.
b) What are the explanatory and response variables in this study? Justify your answer.
c) What percent of the variability in the response variable is explained by the explanatory variable? Is the relationship between the two variables significant or not?
Step by step
Solved in 4 steps with 2 images
