IGNOU MSTL 001 2018 - Before increasing in the excise duty on tea, 800 people out of a sampl

Question

Before increasing in the excise duty on tea, 800 people out of a sample of 1000 were the consumers of tea. After increasing in the excise duty, 800 people were the consumers of tea in a sample of 1200 persons. Check whether there is a significant decrease in the consumption of tea after increasing the excise duty.

20 Feb 2018

Answer :

Word Count : 282

इस प्रश्न को हल करने के लिए हम ज़ी-टेस्ट (Z-test) for Proportions का उपयोग करेंगे, क्योंकि हमें दो प्रपोर्शन की तुलना करनी है। ### दिया गया डेटा: पहले: - नमूना आकार (\(n_1\)) = 1000 - चाय के उपभोक्ता (\(x_1\)) = 800 - प्रपोर्शन (\(p_1\)) = \( \frac{800}{1000} = 0.8 \) बाद में: - नमूना आकार (\(n_2\)) = 1200 - चाय के उपभोक्ता (\(x_2\)) = 800 - प्रपोर्शन (\(p_2\)) = \( \frac{800}{1200} = 0.6667 \) ### हाइपोथीसिस सेटअप: - नल हाइपोथीसिस (\(H_0\)): चाय की खपत में कोई महत्वपूर्ण कमी नहीं हुई है। (\(p_1 = p_2\)) - वैकल्पिक हाइपोथीसिस (\(H_1\)): चाय

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	Sales (in Rs. ’000)
Store	With sales campaign	Without sales campaign
1	67.2	65.3
2	59.4	54.7
3	80.1	81.3
4	47.6	39.8
5	97.8	92.5
6	38.4	37.9
7	57.3	52.4
8	75.2	69.9
9	94.7	89
10	64.3	58.4
11	31.7	33
12	49.3	41.7
13	54	53.6

57	51	53	52	50	60	51	51	52	52
44	53	45	57	39	53	58	47	51	48
49	49	44	54	46	52	55	54	47	53
49	52	49	54	57	52	52	53	49	47
51	48	55	53	55	47	53	43	48	46
54	46	51	48	53	56	48	47	49	57
55	53	50	47	57	49	43	58	52	44
46	59	57	47	61	60	49	53	41	48
59	53	45	45	56	40	46	49	50	57
47	52	48	50	45	56	47	47	48	46

57	51	53	52	50	60	51	51	52	52
44	53	45	57	39	53	58	47	51	48
49	49	44	54	46	52	55	54	47	53
49	52	49	54	57	52	52	53	49	47
51	48	55	53	55	47	53	43	48	46
54	46	51	48	53	56	48	47	49	57
55	53	50	47	57	49	43	58	52	44
46	59	57	47	61	60	49	53	41	48
59	53	45	45	56	40	46	49	50	57
47	52	48	50	45	56	47	47	48	46

57	51	53	52	50	60	51	51	52	52
44	53	45	57	39	53	58	47	51	48
49	49	44	54	46	52	55	54	47	53
49	52	49	54	57	52	52	53	49	47
51	48	55	53	55	47	53	43	48	46
54	46	51	48	53	56	48	47	49	57
55	53	50	47	57	49	43	58	52	44
46	59	57	47	61	60	49	53	41	48
59	53	45	45	56	40	46	49	50	57
47	52	48	50	45	56	47	47	48	46