2. A researcher is examining the influence of social rejection on social media consumption. The researcher...

2. A researcher is examining the influence of social rejection on social media consumption. The researcher hypothesizes that people will spend more time on social media if they have been rejected (vs not rejected), consuming more social media to console themselves. User data from Instagram suggests the population of users spends an average μ = 48 minutes a day browsing Instagram with a standard deviation of σ = 20 minutes. Using survey data the researcher identified a sample of 25 individuals who had been socially rejected at least once over the course of a month. Browsing data for these 25 individuals shows that they spent x̅ = 53 minutes browsing Instagram on average on days after they had been rejected.

a. State the formal null and alternative hypotheses for this study. [1point]

b. Did the sample of rejected participants spend significantly more time on Instagram compared to the population at large? Using a test with alpha set at .05, Determine the directionality of this test, report a critical value, p value, and conclusion (write a sentence describing what this experiment shows). [2points]

c. If the sample was larger (n = 49), but spent the same mean amount of time on social media ( x̅ = 53 ) would the sample have spent significantly more time on Instagram than the population at large, with alpha set to .05? Determine the directionality of this test, report a critical value, p value, and conclusion. Show all work

Expert Solution

orchestra answered 1 year ago

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