A study was conducted to see if students from public high schools were more likely to attend public colleges compared to students from private high schools. Of a random sample of 100 students from public high schools, 60 were planning to attend a public college. Of a random sample of 100 students from private high schools, 50 of them planned to attend a public college. The p-value for this hypothesis test is 0.0778. 1. What is the correct decision for this hypothesis if the significance level of the test is 0.1?
a. Reject the null hypothesis
b. Fail to reject the alternative hypothesis
c. Accept the null hypothesis
d. Fail to reject the null hypothesis
2. What are two independent samples in this study?