Answer Happy

Are Instagram users more liberal than those who don't use the platform? The goal of this assignment is to use confidence intervals to determine if there is a difference in the proportions of people who have liberal political views based on whether or not they use Instagram, a social media platform. The data are from the 2016 General Social Survey (GSS). The GSS is a survey conducted every two years to gather information about behaviors and attitudes on a variety of issues for adults (18+ years old) in the United States. Survey respondents are from a list of randomly selected households. The GSS contains over 900 variables. The data for this analysis are from the gss16 dataset in the dsbox R package. The variables of interest are: instagram: Yes if the respondent said they use Instagram; no if not; NA removed • is_liberal: Yes if the respondent identified their political views as "Slightly liberal," "Liberal," or "Extremely liberal;" no otherwise Descriptive Statistics: Group Uses Instagram Does not use Instagram Sample Size 0.0141 423 949 Sample Successes Proportion 133 0.3144 285 Estimate of Difference of Proportions: Point Estimate Standard Error Margin of Error +/-0.05299 0.027 0.3003 Proportion Successes 0.2 0.11 0.0- Barchart Uses Does Instagram not use Instagram
Point Estimate 0.0141 Standard Error Confidence Interval: Population Parameter Difference P₁-P2 -1.0 -0.8 -0.6 0.027 Lower Bound -0.0389 Margin of Error +/-0.05299 -0.4 Upper Bound 0.0671 95% Confidence Interval [-0.03889, 0.0671] HH -0.2 0.0 0.2 Confidence Level 0.4 95% 0.6 0.8 1.0 Difference of Proportions P₁ - P2 a) Explain why a confidence interval would be beneficial to draw conclusions about the difference in proportions of Instagram users and non-users who have liberal political views, instead of just relying on the Barchart and sample proportion presented above. b) Interpret the 95% confidence interval presented above, in context of the data. c) Based on the 95% confidence interval, do the data provide evidence that Instagram users are more liberal than non-users? Explain in 2-3 sentences.