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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-model are not met. She cannot trust that the P-value is accurate for this reason.
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.
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.

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