Final answer:
The question is about conducting a statistical test to compare the proportion of student athletes and nonathletes who drive themselves to school, but seems to start off by referencing an unrelated context about driving hours with an adult. Statistical hypothesis testing can be used to answer if the percentage difference observed is significant.
Step-by-step explanation:
The question you're asking relates to determining whether the percentage of student athletes who drive themselves to school is significantly higher than the percentage of nonathletes who do the same, based on given sample percentages. To answer this, typically a hypothesis test such as a Z-test or a T-test can be performed to see if the observed difference is statistically significant. However, the initial question about whether 'any adult can drive with the student for the 14 out of 44 BTW hours' seems to be unrelated and might provide content that isn't loaded with the needed context to answer the statistical question. For statistical comparison of proportional data from the samples given, you need to establish a null hypothesis that there is no difference, and an alternative hypothesis that there is a difference, and then calculate the test statistic based on the samples proportions and sizes and compare it to a critical value from a Z or T distribution.
In this case, a sample of 20 student athletes shows that 45 percent drive themselves, which is higher than the high school principal's claim of 30 percent. On the other hand, a sample of 35 nonathletes shows that 6 percent drive themselves, which is also higher than the claimed 4 percent. To determine if the percent of student athletes who drive themselves to school is more than the percent of nonathletes consider conducting a hypothesis test using the sample proportions to see if the difference is statistically significant at a chosen level of significance.