Question

You want to test the null hypothesis that the mean amount spent is less than or equal to $1,400 versus a one-tailed alternative. Which of the following is the p-value for the test? (Because of potential roundoff, choose the closest.)

Person	Gender	Married	Age	Children	Salary	Spent
1	Male	No	40	1	107800	1040
2	Male	Yes	41	1	62500	2140
3	Female	Yes	50	3	80000	810
4	Male	Yes	65	3	111400	3370
5	Female	Yes	51	1	100200	1740
6	Male	Yes	39	1	85900	1690
7	Female	No	43	1	110000	340
8	Male	No	57	0	147500	3250
9	Male	No	36	1	105100	630
10	Male	Yes	59	1	78800	3140
11	Female	Yes	41	2	76400	960
12	Male	Yes	63	4	106900	2270
13	Male	No	42	0	98400	1240
14	Female	No	45	1	108300	840
15	Male	No	52	2	90200	1470
16	Female	No	57	0	88200	1430
17	Female	Yes	42	2	68400	1010
18	Male	Yes	39	2	102200	960
19	Male	Yes	44	2	80500	1070
20	Female	No	29	1	65200	370
21	Male	Yes	53	2	89000	2420
22	Male	No	34	1	77600	660
23	Male	Yes	39	3	85000	1750
24	Male	Yes	42	2	83700	2170
25	Male	No	52	0	136700	2200
26	Female	Yes	44	2	75500	570
27	Male	No	40	2	92900	420
28	Male	Yes	46	2	69900	2110
29	Female	No	43	2	67400	530
30	Female	Yes	70	2	116500	2160
31	Male	No	45	1	109800	1050
32	Female	No	68	0	107100	2010
33	Male	No	58	2	121900	1420
34	Female	No	61	0	115700	1990
35	Male	Yes	41	2	90300	1110
36	Male	No	46	1	114800	1020
37	Female	Yes	49	3	72900	1120
38	Male	Yes	44	1	128300	1910
39	Male	No	39	1	115000	730
40	Male	Yes	48	2	90900	2690
41	Male	No	40	0	57200	2530
42	Male	No	44	1	81200	1440
43	Male	Yes	54	3	126000	1490
44	Male	Yes	55	2	126800	3110
45	Male	No	48	1	141500	710
46	Female	Yes	42	2	72800	1100
47	Male	No	60	0	122700	2890
48	Female	Yes	49	3	58400	1270
49	Male	Yes	43	5	71900	720
50	Male	No	63	0	143400	2600
51	Male	Yes	36	4	94800	650
52	Female	Yes	44	2	119000	400
53	Male	Yes	49	0	126600	1320
54	Male	Yes	30	1	81400	2250
55	Female	No	34	1	58100	1130
56	Male	No	37	0	91800	860
57	Female	No	41	0	81200	1830
58	Male	Yes	42	2	94300	1710
59	Male	Yes	38	5	61200	1430
60	Male	Yes	49	0	107300	3180
61	Female	No	53	2	92600	1200
62	Female	No	42	0	61500	3050
63	Female	No	35	0	56300	1140
64	Female	Yes	51	2	62700	1300
65	Female	No	60	2	130400	1140
66	Female	No	35	2	54400	200
67	Female	Yes	56	2	101900	1830
68	Male	Yes	54	3	102000	1580
69	Male	Yes	48	2	79400	2310
70	Female	Yes	52	3	124500	690
71	Male	Yes	37	2	67800	2080
72	Male	Yes	56	1	91100	2650
73	Female	Yes	37	1	73500	1160
74	Female	No	52	0	94100	1540
75	Male	No	55	2	124300	1330
76	Male	Yes	41	4	116400	1380
77	Male	Yes	46	2	92400	1960
78	Female	No	48	0	88800	1400
79	Female	Yes	44	3	87000	690
80	Male	Yes	60	4	115900	1020
81	Female	Yes	55	1	96900	1810
82	Male	Yes	61	1	142900	2320
83	Male	Yes	39	2	72400	950
84	Male	No	46	0	98100	3770
85	Male	No	46	0	118600	1850
86	Male	Yes	35	2	129900	750
87	Male	No	28	0	80500	780
88	Male	Yes	61	1	86100	2970
89	Male	No	50	1	136500	1410
90	Female	No	37	3	88300	300
91	Male	Yes	49	2	101200	1390
92	Female	Yes	55	4	81100	700
93	Male	No	59	5	75800	1180
94	Male	No	34	1	108600	770
95	Male	No	40	0	97600	1100
96	Male	No	41	0	88300	2050
97	Female	Yes	58	0	125700	1950
98	Female	No	46	1	70900	560
99	Male	Yes	47	2	84100	1400
100	Male	No	39	0	85100	1280

Answer 1

Note: Answers are highlighted in colour

Hypothesis:

H₀: Population mean amount spent is less than 1,400.()

H₁: Population mean amount spent is greater than 1400 ()

Sample mean()= 1513.7, Sample standard deviation(S)=795.97, sample size(n)=100

As we dont know the population standard deviation , we need to use t test to verify the hypothesis.

== 1.428

Degrees of freedom= n-1= 99

The p-value of the test using t table is 0.078219.