The following table shows the results from a random sample of 80 people on the relationship between pet preference and social behavior.Pet Preference Social Behavior Dog Cat Row TotalExtrovert 29 15 44Introvert 12 24 36Column Total 41 39 80Using the information in the table, compute the expected frequencies for each of the cells in the table.Expected Frequencies for Pet Preference Social Behavior Dog Cat Row TotalExtrovert 44Introvert 36Column Total 41 39 80
Question
The following table shows the results from a random sample of 80 people on the relationship between pet preference and social behavior.Pet Preference Social Behavior Dog Cat Row TotalExtrovert 29 15 44Introvert 12 24 36Column Total 41 39 80Using the information in the table, compute the expected frequencies for each of the cells in the table.Expected Frequencies for Pet Preference Social Behavior Dog Cat Row TotalExtrovert 44Introvert 36Column Total 41 39 80
Solution
To calculate the expected frequencies for each cell in the table, we use the formula:
Expected frequency = (Row total * Column total) / Grand total
Let's calculate for each cell:
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Extrovert-Dog: Expected frequency = (44 * 41) / 80 = 22.7
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Extrovert-Cat: Expected frequency = (44 * 39) / 80 = 21.3
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Introvert-Dog: Expected frequency = (36 * 41) / 80 = 18.3
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Introvert-Cat: Expected frequency = (36 * 39) / 80 = 17.7
So, the table of expected frequencies would look like this:
Expected Frequencies for Pet Preference Social Behavior Dog Cat Row Total Extrovert 22.7 21.3 44 Introvert 18.3 17.7 36 Column Total 41 39 80
Similar Questions
The following table shows the results from a random sample data of 50 people on the relationship between dietary preference and athletic status.Dietary Preference Athletic Status Vegetarian Non-Vegetarian Row TotalAthlete 13 15 28Non-Athlete 8 14 22Column Total 21 29 50Using the information in the table, compute the expected frequencies for each of the cells in the table.Expected Frequencies for Dietary Preference Athletic Status Vegetarian Non-Vegetarian Row TotalAthlete 28Non-Athlete 22Column Total 21 29 50
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You ask 100 randomly selected voters from this ward to name the party they had voted for. Of the 100 voters, 58 voted for AAP and 42 voted for BJP. So, you define X as the proportion of people that voted for AAP. Then, the frequency distribution for X would be as shown in the table given below. X Frequency1 580 42Question 1/3MandatoryComprehensionFind the mean and standard deviation of X.
A frequency distribution shows the number of data values falling within each class.Group of answer choicesTrueFalse
A relative frequency distribution describes the proportion of data values that fall within each category.Group of answer choicesTrueFalse
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