25 Students are in a Statistics Class. Below is a table of distribution per major/school enrolled. Create a hypothesis and use a chi-test through the parameters below to determine hypotheses and decisions.

School Enrolled	Frequency	Expected Frequency
Applied Science and Tech	17	5
Arts and Sciences	4	5
Business and Management	1	5
Nursing	2	5
Public Service	1	5

1. H0 : _______

2. Ha : _______

3. In words, CLEARLY state what your random variable represents.

4. State the distribution to use for the test.

5. What is the test statistic?

6. What is the p-value? In one or two complete sentences, explain what the p-value means for this problem.

7. Use the previous information to sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the p-value.

Figure E1

8. Indicate the correct decision (reject or do not reject the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences.

   1. Alpha: _______

   2. Decision: _______

   3. Reason for decision: _______

   4. Conclusion: _______

9. Construct a 95% confidence interval for the true mean or proportion. Include a sketch of the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval.

Figure E2