According to Facebook’s self-reported statistics, the average Facebook user has 130 Facebook friends. For a statistics project, a student at Contra Costa College tests the hypothesis that CCC students will average more than 130 Facebook friends.She randomly selects 3 classes from the schedule of classes and distributes a survey in these classes. Her sample contains 45 students.Here are the null and alternative hypotheses for her study: H0: µ = 130, Ha: µ > 130.From her survey data, the statistics student calculates that the mean number of Facebook friends for her sample is 138.7 with a standard deviation of 79.3. She analyzed her data using a t-test and obtained a P-value of 0.23.What conclusion can she draw from her data? Even though 138.7 is larger than 130, it is not significantly larger than 130. In other words, the data do not provide enough evidence to conclude that the mean number of Facebook friends of all CCC college students is higher than 130. The sample value of 138.7 is significantly larger than 130. In other words the data provide provide enough evidence to conclude that the mean number of Facebook friends of all CCC college students is higher than 130. Nothing. The conditions for use of a t-test were not met. She cannot trust that the P-value is accurate for this reason.

According to Facebook’s self-reported statistics, the average Facebook user is connected to 80 community pages, groups, and events. For a statistics project, a student at Contra Costa College tests the hypothesis that CCC students will average less than 80 such connections.She posts a survey on her Facebook page. Her sample contains 45 responses.She chooses a 5% level of significance. From her data she calculates a t-test statistic of approximately −1.74 with a P-value of about 0.04.What can she conclude? Nothing. The conditions for use of a t-test are not met. She cannot trust that the P-value is accurate for this reason. The data is statistically significant. In other words, the data do provide enough evidence to conclude that the mean number of Facebook connections to community pages, groups and events of all all CCC college students is less the 80. The data is not statistically significant. In other words, the data do not provide enough evidence to conclude that the mean number of Facebook connections to community pages, groups and events of all CCC college students is less the 80.

Social Media SamplingSuppose you have 113 Friends on Facebook and you want to choose a simple random sample of 20 of them. What is your population?Group of answer choicesThe proportion of all Facebook users who are your “Friend”The 20 Friends selected from FacebookYour 113 Friends on FacebookAll registered users of Facebook

does using social media stress us out? Participants were randomly assigned to either use Facebook daily or to quit the social media platform entirely for 5 days. After this the participants measured a variety of measures of stress, including rating their stress on a scale from 1 (low stress) to 5 (high stress). For the participants who were to use Facebook daily the mean was 3.145 with a sum of squares equal to 3.16 (n = 10). For the participants who didn’t use Facebook for 5 days the mean was 2.478 with a sum of squares equal to 4.17 (n = 10). The data were normally distributed and the homogeneity of variance assumption was met. Use an  = .05, two tailed test.

A survey asked a random sample students if they estimated they spent more or less than an hour a day on social media.Social MediaGrade More Less Total7th grade 14 21 358th grade 30 17 47Total 44 38 82What percent of the students estimated they spend more than an hour a day on social media? Round your answer to the nearest tenth of a percent.

Suppose Facebook has launched a new fact-checking feature. It conducts a survey among its user base, wherein it asks them the question ‘Do you find the fact-checking feature useful?’. Out of the 2,500 respondents, 53.2% believe that the feature is useful. If you define X as the proportion of people that find the feature useful, the frequency distribution for X would be as shown in the table given below. X Frequency1 1,3300 1,170Question 2/3MandatorySampling and EstimationSuppose the sample standard deviation is known to be 0.6, what is the interval in which the mean of the sampling distribution of sample size 2,500 will belong at a 99% confidence level?(0.456, 0.608)(0.572, 0.588)(0.493, 0.571)(0.501, 0.563)