Question

using SAS please answer this question (input and output needed): Of 186 participants enrolled in an HIV prevention program, it was discovered that 102 had education beyond secondary school. Does this indicate that the program is attracting a more highly educated group of people than would be expected, given that 45% of the population of Epiville has education beyond secondary school? STEP 1: STATE THE APPROPRIATE NULL AND ALTERNATIVE HYPOTHESES STEP 2: DEFINE THE CRITICAL REGION STEP 3: COMPUTE THE APPROPRIATE TEST STATISTIC STEP 4: STATE YOUR STATISTICAL DECISION STEP 5: STATE YOUR PRACTICAL CONCLUSION STEP 6: REPORT THE P-VALUE

Answer 1

Ans:

1)

2)

Assume alpha=0.05

Critical value(right tailed)=1.645

Critical rejection region:z>1.645

3)

sample proportion=102/186=0.5484

Test statistic:

z=(0.5484-0.45)/sqrt(0.45*(1-0.45)/186)

z=2.70

4)As,test statistic,z is greater than 1.645,we reject the null hypothesis.

5)There is sufficient evidence to conclude that the program is attracting a more highly educated group of people than would be expected i.e. 45%.

6)p-value=P(z>2.70)=0.0035