Randy is attending film school and one of his projects involves researching the ratingsgiven to movies by critics and viewers. He has selected a random sample of movies andhas recorded the average critic score (X1) and the average viewer score (X2) for eachmovie. The scores were obtained from a website that collates movie reviews and ratingssubmitted by critics and viewers. Randy also recorded the genre (X3) of each movie. Thedata are stored in the file AssignmentData.RData in the data frame movies.df.(a) [3 marks] Create a scatter plot of average critic score against average viewer scorefor comedies, with average viewer score along the x-axis. Make sure to give yourplot a proper descriptive title and appropriate labels for the x and y axes. Describethe relationship between these two variables for comedies.(b) [2 marks] Determine whether the average critic scores and the average viewerscores are more highly correlated for comedies or for thrillers. Provide a clearjustification for your answer.(c) [3 marks] For thrillers, test whether the population proportion of movies that havean average viewer score greater than 3.27 is less than 0.5. Clearly state your hypothe-ses, making sure to define any parameters, and use a significance level of α = 3%.Do not use any R functions that are designed to perform hypothesis tests.(d) [4 marks] For dramas, test whether the population mean average viewer score isgreater than the population mean average critic score by more than 0.05. Clearlystate your hypotheses, making sure to define any parameters, and use a significancelevel of α = 3%. Do not use any R functions that are designed to perform hypothesistests
Question
Randy is attending film school and one of his projects involves researching the ratingsgiven to movies by critics and viewers. He has selected a random sample of movies andhas recorded the average critic score (X1) and the average viewer score (X2) for eachmovie. The scores were obtained from a website that collates movie reviews and ratingssubmitted by critics and viewers. Randy also recorded the genre (X3) of each movie. Thedata are stored in the file AssignmentData.RData in the data frame movies.df.(a) [3 marks] Create a scatter plot of average critic score against average viewer scorefor comedies, with average viewer score along the x-axis. Make sure to give yourplot a proper descriptive title and appropriate labels for the x and y axes. Describethe relationship between these two variables for comedies.(b) [2 marks] Determine whether the average critic scores and the average viewerscores are more highly correlated for comedies or for thrillers. Provide a clearjustification for your answer.(c) [3 marks] For thrillers, test whether the population proportion of movies that havean average viewer score greater than 3.27 is less than 0.5. Clearly state your hypothe-ses, making sure to define any parameters, and use a significance level of α = 3%.Do not use any R functions that are designed to perform hypothesis tests.(d) [4 marks] For dramas, test whether the population mean average viewer score isgreater than the population mean average critic score by more than 0.05. Clearlystate your hypotheses, making sure to define any parameters, and use a significancelevel of α = 3%. Do not use any R functions that are designed to perform hypothesistests
Solution
This question seems to be a statistics assignment that requires the use of R programming language to analyze a dataset. Here's how you can approach each part:
(a) To create a scatter plot of average critic score against average viewer score for comedies, you first need to filter the data for comedies. Then, use the plot() function in R to create the scatter plot. The relationship between these two variables can be described by observing the scatter plot - if the points form an upward trend, it indicates a positive relationship; if they form a downward trend, it indicates a negative relationship.
(b) To determine whether the average critic scores and the average viewer scores are more highly correlated for comedies or for thrillers, you can use the cor() function in R to calculate the correlation coefficient for each genre. The genre with the higher absolute value of the correlation coefficient has a stronger correlation.
(c) To test whether the population proportion of movies that have an average viewer score greater than 3.27 is less than 0.5 for thrillers, you can use the prop.test() function in R. The null hypothesis (H0) is that the population proportion is equal to 0.5, and the alternative hypothesis (H1) is that the population proportion is less than 0.5.
(d) To test whether the population mean average viewer score is greater than the population mean average critic score by more than 0.05 for dramas, you can use the t.test() function in R. The null hypothesis (H0) is that the difference between the population means is equal to 0.05, and the alternative hypothesis (H1) is that the difference is greater than 0.05.
Please note that the actual R code to perform these tasks would depend on the exact structure of your data frame.
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