Although older Americans are most afraid of crime, it is young people who are more likely to be the actual victims of crime. It seems that older people are more cautious about the people with whom they associate. A national survey showed that 10% of all people ages 16-19 have been victims of crime.† At a high school, a random sample of  n = 65 students  (ages 16-19) showed that  r = 9  had been victims of a crime. Note: For degrees of freedom d. f. not in the Student's t table, use the closest d. f. that is smaller. In some situations, this choice of d. f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer.  (a) Do these data indicate that the population proportion of students in this school (ages 16-19) who have been victims of a crime is different (either way) from the national rate for this age group? Use   = 0.05.  Do you think the conditions  np > 5  and  nq > 5  are satisfied in this setting? Why is this important? (i) What is the level of significance? State the null and alternate hypotheses. H0: p = 0.10; H1: p < 0.10H0: p = 0.10; H1: p ≠ 0.10    H0:  = 0.10; H1:  > 0.10H0:  = 0.10; H1:  ≠ 0.10H0:  = 0.10; H1:  < 0.10H0: p = 0.10; H1: p > 0.10