In 1965, about 44% of the u.s. adult population had never smoked cigarettes. A national health survey of 1360 u.s adults(selected randomly) during 2020 revealed that 626 had never smoked cigarettes. Using a=0.05, test whether there has been a change since 1965 in the proportion of u.s. adults that have never smoked cigarettes. State the hypothesis, list and check the conditions, calculate the test statistic, find the p-value, and make a conclusion in a complete sentence related to the scenario
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.
In 1965, about 44% of the u.s. adult population had never smoked cigarettes. A national health survey of 1360 u.s adults(selected randomly) during 2020 revealed that 626 had never smoked cigarettes. Using a=0.05, test whether there has been a change since 1965 in the proportion of u.s. adults that have never smoked cigarettes. State the hypothesis, list and check the conditions, calculate the test statistic, find the p-value, and make a conclusion in a complete sentence related to the scenario
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