It has been reported by a university’s president that 60% of the students are using their cell phones during class to text their peers. A professor wants to see if her students are using their cell phones less frequently than the general population. The professor surveys the students and ask them to report the number of minutes they use the cell phones during a day at the university
Using SPSS conduct a t-test to test the professor’s assumption that her students will use their cell phones significantly less frequently than the general population at the university (alpha = .05).
Write the steps for hypothesis testing and write the conclusions in APA style. Calculate and interpret the effect size for this test.
I'm confused as to what the input would be for the test value in SPSS. I'm also confused as to how to arrive at the population mean. Would I use 0.6 for 60% of is there something I am missing?
Data set:
0.25 |
0.33 |
0.5 |
0.25 |
0.2 |
0.1 |
0.5 |
0.2 |
0.45 |
0.1 |
0.6 |
0.85 |
0.2 |
0.5 |
0.6 |
0.75 |
0.33 |
0.8 |
0.65 |
0.75 |
0.29 |
0.3 |
0.65 |
0.4 |
0.5 |
You would enter 0.6.
The hypothesis being tested is:
H0: µ = 0.6
Ha: µ ≠ 0.6
0.60000 | hypothesized value |
0.44200 | mean Data |
0.22247 | std. dev. |
0.04449 | std. error |
25 | n |
24 | df |
-3.551 | t |
.0016 | p-value (two-tailed) |
Since the p-value (0.0016) is less than the significance level (0.05), we can reject the null hypothesis.
Therefore, we cannot conclude that 60% of the students are using their cell phones during class to text their peers.
Effect size = 0.71
This is large effect size.
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