Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your responses to three or more decimal places. Send data to Excel O to 12 13 to 18 19 to 35 36 to 55 Over 55 Total Observed frequency 27 22 50 39 22 160 fo Expected frequency 48.00 40.00 32.00 fE (fo fe 0.083 0.025 3.125
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.
The Ellington Dukes are a minor-league baseball team in Ellington, Georgia. As with most other minor-league teams, the Dukes rely heavily on promotions to bring fans to the ballpark. These promotions are typically aimed at fans of specific ages. The management for the Dukes has planned its current promotional schedule according to the following estimates: 15% of fans attending Dukes games are ages 0 to 12, 10% are ages 13 to 18, 30% are ages 19 to 35, 25% are ages 36 to 55, and 20% are over 55.
A statistical consulting firm for the Dukes surveyed a random sample of 160 fans attending Dukes games in order to see if these estimates are accurate. For the sample of 160, the observed frequency of each age category is given in the top row of numbers in the table below. The second row of numbers contains the frequencies expected for a random sample of 160 fans if the Dukes' management's estimates are accurate. The bottom row of numbers contains the following value for each of the age categories.
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