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As Every Airline Passenger Knows, There Are Never Enough Armrests!

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As every airline passenger knows, there are never enough armrests! Over the courseof 20 flights occurring over a variety of weekdays, nights, and weekends, researchersselected a random sample of passengers who had been seated next to an individual ofthe opposite gender. The passengers were surveyed as they left the boarding area.The researchers were interested in the level of agitation felt when their "seat-mate"used the common armrest. Only one person was randomly selected to be interviewedfrom a seat-mate pair, and couples were excluded from the survey. The question ofinterest was whether males and females are equally bothered by their opposite genderneighbor's use of the common armrest. The table below summarizes data from theinterviews. The indicated gender is the gender of the person being interviewed. As every airline passenger knows, there are never enough armrests! Over the courseof 20 flights occurring over a variety of weekdays, nights, and weekends, researchersselected a random sample of passengers who had been seated next to an individual ofthe opposite gender. The passengers were surveyed as they left the boarding area.The researchers were interested in the level of agitation felt when their  seat-mate used the common armrest. Only one person was randomly selected to be interviewedfrom a seat-mate pair, and couples were excluded from the survey. The question ofinterest was whether males and females are equally bothered by their opposite genderneighbor's use of the common armrest. The table below summarizes data from theinterviews. The indicated gender is the gender of the person being interviewed.    a) What is the appropriate null hypothesis for this investigation?  (You may state thishypothesis in ordinary English if you wish.) b) Using the null hypothesis from part (a), test the appropriate hypotheses using achi-square procedure.
a) What is the appropriate null hypothesis for this investigation?
(You may state thishypothesis in ordinary English if you wish.)
b) Using the null hypothesis from part (a), test the appropriate hypotheses using achi-square procedure.

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Definitions:

Rainy Days

Days during which a significant amount of precipitation falls, commonly used in weather statistics.

Random Variable X

A variable whose possible values are numerical outcomes of a random phenomenon, with each outcome having an associated probability.

Probability Model

A mathematical representation of a random phenomenon, defined by a sample space, events within the sample space, and probabilities associated with each event.

Fair Dice

A perfectly balanced dice where each outcome has an equal chance of occurring, ensuring unbiased results in games of chance.

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