According to Facebooks 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: = 130, H_a: > 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?

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.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.Nothing. The conditions for use of a t-test were not met. She cannot trust that the P-value is accurate for this reason