With the pandemic, cleaning and sanitation products have become increasingly more popular. Pfizer is trying to expand their sales and market share among producers of hand sanitizer and would like to purchase advertising space on a major TV network during prime time. CBS and NBC seem to be the most likely options but Pfizer would like to test and see if there is really a difference in the viewership (which would influence their decision). Over the past 20 weeks, CBS has averaged 5.7 million viewers on Monday nights at the 8 PM timeslot with a standard deviation of .65 million viewers. NBC on the other hand has averaged 6.2 million viewers with a standard deviation of 1.3 million viewers. ~ With an alpha of .05, construct a hypothesis test to see if there is a difference in viewership between the two networks. ~ Construct a 95% confidence interval for the difference. ~ Which network would you go with based on your tests?
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.
With the pandemic, cleaning and sanitation products have become increasingly more popular. Pfizer is trying to expand their sales and market share among producers of hand sanitizer and would like to purchase advertising space on a major TV network during prime time. CBS and NBC seem to be the most likely options but Pfizer would like to test and see if there is really a difference in the viewership (which would influence their decision). Over the past 20 weeks, CBS has averaged 5.7 million viewers on Monday nights at the 8 PM timeslot with a standard deviation of .65 million viewers. NBC on the other hand has averaged 6.2 million viewers with a standard deviation of 1.3 million viewers.
~ With an alpha of .05, construct a hypothesis test to see if there is a difference in viewership between the two networks.
~ Construct a 95% confidence interval for the difference.
~ Which network would you go with based on your tests?
Step by step
Solved in 3 steps
