Description: Q1. Based on a recent study, roughly 80% of college students in the U.S. own a cell phone. Do the data provide evidence that the proportion of students who own cell phones in this university is lower than the national figure?
Answer. Most likely not. Ownership of cellphones and ratios do not depend on anything.
Relevant Variables - The cell is the relevant variable and it is categorical.
Analyze Data - The formal analysis of Q1 will pinpoint on searching the population proportion. The correct statistical test is the one sample z-test for the proportion.
Null Hypothesis - Ho: p = 8
Alternative Hypothesis - Ha: p < .8
Test stat z = -.71, p-value is .239 > .05, so Ho cannot be rejected.
Roughly 78% of the students sampled own a cellphone. Even though 78% percent is less than 80%, there is not enough support to conclude that the exact data holds right for the whole college or that it would be different from the national proportion.