Question

Using a categorical variable from your sample, choose a category of interest, which you will use to build a confidence interval for the proportion. Hint: Recall, we compute the sample proportion, p, as: = ௑ ௡ . First, describe how you determined that you could use the normal distribution to approximate the distribution of the variable. Then, state the point estimate and the population parameter that you are making an inference about. Based on the point estimate, you will build a 95% confidence interval for the population parameter of interest. Be sure to state the confidence interval, describe and interpret your confidence interval in words and explain what this means for the business whose data it is

Opportunity.Number	Supplies.Subgroup	Supplies.Group	Region	Elapsed.Days.In.Sales.Stage	Opportunity.Result	Sales.Stage.Change.Count	Total.Days.Identified.Through.Closing	Opportunity.Amount.USD	Client.Size.By.Revenue	Deal.Size.Category
6003579	Replacement Parts	Car Accessories	Pacific	36	Won	4	6	3000	4	1
6193895	Motorcycle Parts	Performance & Non-auto	Pacific	85	Loss	2	32	77507	1	4
6302462	Shelters & RV	Performance & Non-auto	Pacific	87	Loss	2	25	86808	2	4
6813830	Batteries & Accessories	Car Accessories	Pacific	65	Loss	4	26	355000	1	6
6824867	Motorcycle Parts	Performance & Non-auto	Midwest	43	Won	4	9	1600	4	1
6837544	Batteries & Accessories	Car Accessories	Pacific	35	Loss	5	55	117191	1	5
6892231	Replacement Parts	Car Accessories	Northwest	73	Loss	4	15	39156	1	3
6978782	Shelters & RV	Performance & Non-auto	Midwest	39	Loss	5	45	493000	2	6
7042696	Replacement Parts	Car Accessories	Northwest	61	Loss	3	22	52631	4	4
7101959	Interior Accessories	Car Accessories	Northwest	74	Loss	3	6	60240	1	4
7106427	Batteries & Accessories	Car Accessories	Northwest	16	Loss	2	64	174418	1	5
7220419	Exterior Accessories	Car Accessories	Midwest	67	Loss	3	7	350000	4	6
7227288	Exterior Accessories	Car Accessories	Midwest	74	Loss	2	1	25000	1	3
7227293	Replacement Parts	Car Accessories	Northwest	40	Loss	3	35	99000	1	4
7254613	Shelters & RV	Performance & Non-auto	Pacific	35	Loss	2	39	120000	3	5
7305209	Exterior Accessories	Car Accessories	Pacific	47	Loss	2	26	38753	1	3
7583892	Replacement Parts	Car Accessories	Pacific	54	Won	5	8	6165	1	1
7591583	Batteries & Accessories	Car Accessories	Northwest	16	Loss	2	45	5813	1	1
7657636	Garage & Car Care	Car Accessories	Midwest	52	Won	3	7	46203	1	3
7872502	Interior Accessories	Car Accessories	Pacific	45	Loss	2	5	3000	1	1
7892585	Motorcycle Parts	Performance & Non-auto	Midwest	16	Loss	3	33	50000	1	4
7897420	Motorcycle Parts	Performance & Non-auto	Midwest	8	Won	3	41	235000	1	5
7968158	Shelters & RV	Performance & Non-auto	Pacific	38	Loss	2	10	279026	1	6
8127740	Towing & Hitches	Car Accessories	Northwest	38	Loss	2	5	7228	1	1
8149161	Motorcycle Parts	Performance & Non-auto	Midwest	21	Loss	2	20	23312	1	2
8158105	Motorcycle Parts	Performance & Non-auto	Midwest	28	Won	4	13	160000	1	5
8327470	Interior Accessories	Car Accessories	Midwest	3	Loss	3	32	52000	1	4
8488548	Replacement Parts	Car Accessories	Midwest	7	Loss	4	22	50000	1	4
8536833	Batteries & Accessories	Car Accessories	Midwest	27	Won	1	0	10000	1	2
9560637	Motorcycle Parts	Performance & Non-auto	Pacific	8	Won	3	10	109	1	1
5661353	Motorcycle Parts	Performance & Non-auto	Southeast	85	Loss	4	54	179000	4	5
5977241	Garage & Car Care	Car Accessories	Mid-Atlantic	75	Loss	3	49	175000	3	5
6295684	Garage & Car Care	Car Accessories	Mid-Atlantic	82	Loss	3	30	150000	1	5
6910718	Exterior Accessories	Car Accessories	Northeast	79	Loss	2	9	50000	1	4
7154102	Exterior Accessories	Car Accessories	Northeast	58	Loss	5	20	200000	4	5
7349990	Batteries & Accessories	Car Accessories	Northeast	34	Loss	7	37	105000	1	5
7421525	Motorcycle Parts	Performance & Non-auto	Mid-Atlantic	58	Loss	3	2	50000	1	4
7902934	Tires & Wheels	Tires & Wheels	Mid-Atlantic	41	Loss	2	8	110000	1	5
7941247	Replacement Parts	Car Accessories	Northeast	45	Won	4	3	23000	1	2
7952814	Exterior Accessories	Car Accessories	Northeast	28	Loss	3	20	52000	1	4
8008934	Garage & Car Care	Car Accessories	Southwest	46	Loss	1	0	473900	1	6
8026399	Batteries & Accessories	Car Accessories	Southeast	27	Loss	2	18	340000	1	6
8101150	Exterior Accessories	Car Accessories	Southeast	16	Loss	4	27	30000	1	3
8149004	Motorcycle Parts	Performance & Non-auto	Mid-Atlantic	18	Loss	2	24	15000	1	2
8245200	Exterior Accessories	Car Accessories	Northeast	37	Won	3	2	209000	1	5
8249983	Exterior Accessories	Car Accessories	Southeast	10	Loss	7	24	50000	1	4
8550964	Exterior Accessories	Car Accessories	Southeast	5	Loss	5	22	150000	1	5
9600318	Performance Parts	Performance & Non-auto	Mid-Atlantic	5	Loss	5	12	120000	1	5
9643667	Motorcycle Parts	Performance & Non-auto	Northeast	16	Won	1	0	253	1	1
9794114	Replacement Parts	Car Accessories	Southwest	9	Won	2	2	420000	1	6

Answer 1