Hello tutor, I need your kind assistance with the following questions below. Please use the instruction as a guide to answer the question and the data set below as reference.

Thank you

Instruction

An experiment was conducted on randomly selected Fraser students: each student sees a photo of an object (visual) and then identifies the object, and each student hears a sound (auditory) and then identifies the sound.

Questions 9-16) is about the population proportion () of Fraser students who have jobs.

Question 9 -16

The variable "Job" indicates whether a student has a job or not. "Y" means the student has a job where they are required to work more than 5 hours per week, and "N" means the student does not have this type of job. A researcher wants to see if the population proportion of students with jobs at Purdue is different from 0.59. Use = 0.05.

Q9. Define the parameter using context

Q10. State the hypotheses for this test, using the correct parameter, signs, and hypothesized value

Q11. Compute , the point estimate for the population proportion

- Estimate the proportion of students with jobs by dividing the number of observed "Y"s by the sample size.

- Find the name and value of the point estimate, rounded to 4 decimals.

Q12. Is the Normality condition in place for your data?

- Find the correct values to confirm that this condition is valid: 0 5 and (1 0) 5

Q13. Compute the test statistic.

- Round and standard error to 3 decimals

- State the name of the test statistic, and the computed value, rounded to 2 decimals.

Q14. Find the p-value using a table: Type the probability statement for the p-value for the computed test statistic and the approximate probability found using the appropriate table.

Q15. Find the critical value(s) for the rejection region for this test.

Q 16. After comparing the p-value to , or the test statistic to the critical value, type the conclusion.

Subject	Visual	Auditory	Differences	Job
1	9.432	8.436		Y		Hypothesis Test 1		Hypothesis Test 2
2	8.369	6.291		Y		sample size, n			number of "Y"s
3	7.484	6.846		N		point estimate, d-bar			point estimate, p-hat
4	8.455	7.795		Y		standard deviation, s(d)
5	9.563	9.396		Y
6	9.691	7.688		N		standard error, s(d-bar)			standard error,s(p-hat)
7	14.481	12.13		N
8	6.7	11.335		N		test statistic			test statistic
9	5.971	4.69		Y
10	8.276	9.111		Y
11	3.548	3.82		Y
12	7.402	8.238		Y
13	9.66	8.13		Y
14	7.698	8.144		Y
15	7.231	5.682		Y
16	5.904	8.034		N
17	8.769	6.989		N
18	5.02	8.91		Y
19	7.857	9.623		N
20	12.151	9.242		Y
21	10.006	8.616		Y
22	6.133	7.99		N
23	6.783	8.205		Y
24	5.496	8.232		N
25	5.651	9.047		Y
26	5.336	7.723		Y
27	12.041	9.802		Y
28	10.477	7.894		Y
29	10.673	7.538		Y
30	6.632	7.213		Y
31	8.341	8.141		Y
32	13.563	9.91		N
33	10.77	7.629		N
34	4.275	6.184		Y
35	13.542	11.4		Y
36	5.579	8.677		Y
37	8.625	8.302		Y
38	9.707	10.218		Y
39	10.881	7.638		N
40	10.716	6.772		Y
41	10.063	7.035		Y
42	7.288	4.515		N
43	12.473	7.826		Y
44	9.728	8.859		N
45	7.53	10.824		Y
46	11.209	10.585		Y
47	3.802	7.004		N
48	11.68	9.936		Y
49	8.193	9.182		Y
50	10.603	8.099		Y
51	10.692	9.078		N
52	8.158	9.046		N
53	7.683	6.357		N
54	9.738	10.944		Y
55	8.688	7.476		N
56	12.766	8.961		Y
57	5.874	9.105		Y
58	6.129	8.754		Y
59	11.699	9.144		N
60	13.598	11.03		N
61	10.781	8.804		Y
62	8.709	5.535		N
63	14.411	10.592		Y
64	9.484	7.051		Y
65	7.452	8.75		Y
66	9.673	10.078		N
67	4.267	7.578		Y
68	8.271	6.638		N
69	12.287	10.611		Y
70	7.456	7.744		Y
71	1.938	9.048		Y
72	11.621	10.118		Y
73	10.095	7.099		Y
74	6.182	3.668		Y
75	12.076	9.476		N
76	10.927	9.462		Y
77	9.672	9.718		Y
78	10.039	6.728		Y
79	11.974	9.573		Y
80	10.206	8.41		Y