At a large company retreat, management orders subs for lunch. They hypothesize that 50% of the attendees will choose a turkey sub, 40% will choose a ham sub, and 10% will choose a vegetarian sub. Before placing the order, they select a random sample of 50 attendees and determine the type of sub they prefer. The management would like to know if there is convincing evidence that the distribution of sub preference differs from 50% turkey, 40% ham, and 10% vegetarian. Are the conditions for inference met? No, the random condition is not met. No, the 10% condition is not met. No, the Large Counts condition is not met. Yes, all of the conditions for inference are met.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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At a large company retreat, management orders subs for lunch. They hypothesize that 50% of the attendees will choose a turkey sub, 40% will choose a ham sub, and 10% will choose a vegetarian sub. Before placing the order, they select a random sample of 50 attendees and determine the type of sub they prefer. The management would like to know if there is convincing evidence that the distribution of sub preference differs from 50% turkey, 40% ham, and 10% vegetarian. Are the conditions for inference met?

No, the random condition is not met.
No, the 10% condition is not met.
No, the Large Counts condition is not met.
Yes, all of the conditions for inference are met.
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