Question

Identification Number	Field Choice	Gender
1	Business	Male
2	Other	Female
3	Business	Female
4	Science	Female
5	Science	Male
6	Other	Female
7	Business	Male
8	Science	Male
9	Science	Male
10	Business	Female
11	Other	Female
12	Other	Male
13	Business	Male
14	Business	Female
15	Science	Male
16	Business	Female
17	Science	Male
18	Science	Female
19	Science	Female
20	Business	Female
21	Other	Male
22	Business	Male
23	Business	Female
24	Other	Male
25	Other	Male
26	Science	Male
27	Other	Female
28	Science	Male
29	Science	Male
30	Science	Female

“Thirty” randomly “selected college-bound students in Portland, Oregon, are asked about the field they would like to pursue in college. The choices offered in the questionnaire are science, business, and other. The gender information also is included in the questionnaire.”

Produce a 90% confidence interval estimate for the proportion of students in Portland who would like to pursue business, using the format given in class. As this is your first time using the format this document steps you through it (somewhat).

1- State the name of the confidence interval estimate used

2- State the level of confidence and associated ?

3- Assess the conditions required for this estimation process, justifying your answers For each condition:

state the condition off the estimator summary sheet, explain why you think it is met or not.

Answer 1

1. The z-distribution confidence interval will be used here.

2. The level of confidence is 90% and ? = 1 - 0.90 = 0.10

3. In order to conduct a one-sample proportion z-test, the following conditions should be met:

• The data are a simple random sample from the population of interest.
• The population is at least 10 times as large as the sample.
• n⋅p≥10 and n⋅(1−p)≥10 , where n is the sample size and p is the true population proportion.

p = 10/30 = 0.33

n*p = 10 ≥10

n⋅(1−p) = 20 ≥10