A nonprofit company concerned with the school dropout rates in a nearby state has designed a tutoring program aimed at students between 16 and 18 years old. The high school dropout rate in the school for the year 2000 was 9.5%. One school district, who adopted the use of the nonprofit's tutoring program and whose dropout rate has always been very close to the state average, reported in 2004 that 161 of their 1775 students dropped out. Is their experience evidence that the tutoring program has been effective? Explain
1. What are the null and alternative hypotheses? Choose the correct answer below.
a. H0: p > 0.095 vs. Ha: p = 0.095
b. H0: p < 0.095 vs. Ha: p = 0.095
c. H0: p = 0.095 vs. Ha: p > 0.095
d. H0: p = 0.116 vs. Ha: p < 0.095
2. What is the value of the test statistic?
3. What is the P-value of the test statistic?
4. Is their experience evidence that the tutoring program has been effective? Choose the correct answer below.
a. Since the P-value is less than 0.05, reject H0. There is sufficient evidence to determine there is a decrease in the dropout rate from 9.5%.
b. Since the P-value is less than 0.05, reject H0. There is insufficient evidence to determine there is a decrease in the dropout rate from 9.5%.
c. Since the P-value is greater than 0.05, fail to reject H0. There is sufficient evidence to determine there is a decrease in the dropout rate from 9.5%.
d. Since the P-value is greater than 0.05, fail to reject H0. There is insufficient evidence to determine there is a decrease in the dropout rate from 9.5%.
e. No conclusion can be drawn because the conditions and assumptions were not met for the hypothesis test.