To assess how women are doing in the workforce, we have gathered data from 120 firms with 100 to 500 employees, and have recorded how many of the top 25 highest paid employees are female.

1. What is the overall proportion of females in the top 25?

2. What is the lower bound of the 95% confidence interval for the mean proportion of females in the top 25?(numerical value only, and round your response to 4 digits)

3.What is the upper bound of the 95% confidence interval for the mean proportion of females in the top 25?(numerical value only, and round your response to 4 digits)

4.What is the lower bound of the 95% confidence interval for the proportion of firms that have more than 50% female in the top 25 list?(numerical value only, and round your response to 4 digits)

5. What is the upper bound of the 95% confidence interval for the proportion of firms that have more than 50% female in the top 25 list?(numerical value only, and round your response to 4 digits)

6.For a 95% confidence interval, how large of a sample do we need if we want a margin of error of 4% in estimating the proportion of firms with more than 50% female in top 25?

Firm	Total # of Employees	# of Female in top 25
1	170	15
2	355	10
3	233	16
4	191	12
5	191	18
6	374	11
7	318	6
8	291	16
9	106	14
10	201	12
11	106	18
12	111	15
13	355	13
14	343	11
15	160	10
16	174	15
17	169	14
18	339	16
19	288	13
20	235	12
21	236	9
22	389	13
23	128	8
24	155	10
25	242	14
26	361	10
27	226	11
28	118	12
29	301	15
30	159	12
31	113	16
32	142	12
33	360	6
34	106	10
35	199	14
36	355	17
37	211	14
38	468	8
39	204	11
40	321	13
41	355	10
42	111	19
43	146	17
44	250	12
45	249	11
46	145	10
47	160	16
48	150	18
49	176	18
50	230	18
51	192	7
52	179	8
53	302	11
54	150	8
55	105	16
56	158	14
57	143	20
58	134	19
59	106	16
60	174	16
61	224	19
62	108	15
63	175	12
64	463	10
65	161	4
66	376	11
67	270	19
68	111	20
69	212	10
70	162	12
71	119	9
72	255	12
73	155	14
74	373	13
75	287	7
76	207	13
77	167	7
78	124	9
79	212	13
80	217	15
81	393	13
82	261	12
	222	12
	301	10
	242	12
	242	15
	222	10
	195	14
	213	4
	248	11
	305	11
	380	13
	275	12
	149	9
	154	13
	213	11
	212	12
	108	12
	122	10
	153	11
	179	18
	274	10
	260	22
	150	11
	260	11
	303	12
	184	15
	246	13
	303	12
	171	13
	420	10
	284	13
	210	12
	324	12
	244	11
	206	13
	113	15
	104	18
	139	12
	357	18