Given the cost and time commitment, your friend is only interested in getting an MBA if that would help in getting a promotion and/or a higher pay. You are helping your friend to make this decision and have gathered data on several firms with information on how many of the employees in the top 50 of the highest paid have an MBA.

1. What is thestandard error for the overall proportion of top 50 employees with an MBA?

2. What is the lowerboundfor the 95%confidence interval of overall proportion of top 50 employees with an MBA?

3. The overallproportionof firms which have more than 50% employees with an MBA in their top 50 list is ________%.

Firm	Total # of Employees	# of Employees with an MBA in Top 50
1	183	23
2	368	30
3	246	43
4	204	24
5	204	28
6	387	34
7	331	20
8	304	43
9	119	29
10	214	38
11	119	35
12	124	27
13	368	33
14	356	36
15	173	30
16	187	38
17	182	24
18	352	35
19	301	22
20	248	21
21	249	29
22	402	40
23	141	20
24	168	37
25	255	41
26	374	21
27	239	35
28	131	33
29	314	30
30	172	21
31	126	28
32	155	25
33	373	38
34	119	35
35	212	28
36	368	35
37	224	24
38	481	41
39	217	23
40	334	40
41	368	34
42	124	20
43	159	27
44	263	36
45	262	38
46	158	34
47	173	32
48	163	28
49	189	25
50	243	42
51	205	36
52	192	33
53	315	43
54	163	41
55	118	23
56	171	20
57	156	39
58	147	20
59	119	21
60	187	25
61	237	29
62	121	31
63	188	24
64	476	42
65	174	38
66	389	25
67	283	22
68	124	42
69	225	34
70	175	38
71	132	31
72	268	33
73	168	37
74	386	25
75	300	35
76	220	31
77	180	28
78	137	42
79	225	43
80	230	30
81	406	43
82	274	22
83	235	32
84	314	39
85	255	30
86	255	39
87	235	29
88	208	27
89	226	40
90	261	25
91	318	27
92	393	30
93	288	27
94	162	31
95	167	31
96	226	39
97	225	38
98	121	40
99	135	32
100	166	42