Two movie reviewers give movies "thumbs up" and "thumbs down" ratings. You sample 100 movies that they both have rated and find that they both gave "thumbs up" to 25 movies, both gave "thumbs down" to 30 movies, Sarah gave "thumbs up" and Jessica "thumb down" to 28 movies, and the remaining movies Sarah gave "thumbs down" and Jessica "thumbs up". Test whether there is a tendency for one reviewer to give more movies "thumbs up" (proportion 1) than the other (proportion 2). Choose an option below: a) z = 1.96 There is sufficient evidence to accept the null hypothesis. b) z = −1.96 There is sufficient evidence to reject the null hypothesis. c) z = 1.56; For a two-sided test at  = 0.05 level, there is insufficient evidence to reject the null hypothesis because the cutoff z-value is at 1.96. d) z = −1.56; For a two-sided test at  = 0.05 level, there is insufficient evidence to reject the null hypothesis because the cutoff z-value is at 1.96.

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.