mechanism by which people view TV shows and movies have changed dramatically over the last few years. Rather than purchasing a cable package with a series of channels

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Question 1.

The mechanism by which people view TV shows and movies have changed dramatically over the last few years. Rather than purchasing a cable package with a series of channels, viewers purchase subscriptions to ‘video on demand’ companies like “Crave TV”, or “Netflix”, etc. Each such company offers a different selection of shows and movies for viewing. It’s unclear whether the demographics of viewers who subscribe to such companies differ in some systematic way; one obvious characteristic that may vary across company subscribers is age.

 A polling company conducted a representative online survey of 890 North American TV viewers to obtain data on the association between age and company. The data from their survey are summarized in the table below.  Based on these data, what percentage of Crave TV viewers are 26 to 65 years old?   

		Company
		Amazon Prime	Crave TV	Disney+	Netflix
Age group	25 y and younger	70	85	40	35
	26 to 40 y	55	95	75	80
	41 to 65 y	50	25	60	110
	66 y and older	35	10	25	40

   

	Input an uppercase/capital letter X into the box next to the option you wish to select as your answer to this question. Leave all other boxes empty for this question.
	A.	21.8%
	B.	23.4%
x	C.	55.8%
	D.	59.5%

 

Question 2.

A consumers’ report service is evaluating the absorbance efficiency of paper towel brands (e.g. Brawny, Bounty, etc.) for a special report to guide consumer purchasing. They know that brands vary in the shape of each sheet (i.e. rectangular vs. square) and there are far too many brands than can be included in their study. So, they select a package of paper towels from three (3) different brands that have square sheets, and from three (3) different brands that have rectangular sheets. 

For a single sheet of paper towel from each of the selected brands, they record how much of a standardized amount of water is absorbed by the sheet. The researchers notice, however, that the various brands differ in area (in cm2) of each sheet. So, the researchers also calculate the area of a sheet from each of their selected brands. They observe that—once they have taken into account differences in area of the sheets—there are no real differences in absorbency across the different brands; consequently, they encourage consumers to use price and personal preference as a guide to purchasing paper towels. 

What type of variable is area of the sheets?

	Input an uppercase/capital letter X into the box next to the option you wish to select as your answer to this question. Leave all other boxes empty for this question.
x	A.	Blocking variable
	B.	Stratifying variable
	C.	Explanatory variable (specifically, the factor of interest)
	D.	Cofactor
	E.	Response variable

 

Question 3.

A major contracting company is trying to get a sense of the preferred brick colour for houses in London, Ontario, to inform their future housing development projects. They have already surveyed people buying houses to get a sense of what buyers might prefer, but they suspect that some of the observed preferences may reflect how common brick colours already are (i.e. buyers may prefer colours that seem unique). Consequently, the company would like to survey the distribution of brick colours in houses that currently exist in London. 

The company obtained a map of London and subdivided the city into five (5) geographical quadrants (i.e. Northwest, Northeast, Central, Southwest, Southeast). For each quadrant, they identify all the houses by address. They then selected fifty (50) houses from each quadrant to visit and record the colour of the bricks on the house.

 What type of sample was obtained as a result of this design? 

	Input an uppercase/capital letter X into the box next to the option you wish to select as your answer to this question. Leave all other boxes empty for this question.
	A.	A stratified sample
x	B.	A cluster sample
	C.	A multistage sample
	D.	A systematic sample

 

Question 4.

The Women’s Network plays a lot of made-for-TV romance movies; many of these movies get replayed from week to week. The Network has noticed that the level of viewership for individual movies changes from week to week in an apparently unpredictable manner. They wonder whether the variation in viewership can be predicted in some manner. They have designed one study to evaluate whether the ‘quality’ of the movie (i.e. measured by whether it would be watched again by a viewer) is a determining factor.

 The researchers obtained a sample of typical viewers of the Women’s Network. They have asked the viewers to come to a theatre where they will watch two movies: (i) “Love in Rome”, and (ii) “Love at Sunset Terrace”. The researchers have randomly assigned each viewer to one of two groups; group A will watch Love in Rome first, then will watch Love at Sunset Terrace. Group B will watch Love at Sunset Terrace first, then Love in Rome. After each movie, the viewers are asked to indicate the probability (from 0 to 1) that they would watch the movie again if it were available. Interestingly, they observed that the mean probability for Love in Rome was 0.50, while that for Love at Sunset Terrace was 0.55. 

The researchers conducted a hypothesis test to evaluate whether the two movies differed in the probabilities that viewers would watch them again (assume that the relevant model conditions have been met). Which of the following R outputs would be appropriate for this hypothesis test? The data collected are stored in a single datafile that has a column for the viewer identification (i.e. the participant ID), a column called Rome_prob that has the viewers’ probabilities for Love in Rome, and a column called Sunset_prob for the viewers’ probabilities for Love at Sunset Terrace.

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