Question

A bank wants to know if the enrollment for new savings accounts has improved at various branches after offering a free iPhone X to customers.

Use the data from "iphoneX" sheet in excel

Which of the following is the correct p-value used for the statistical test?

		0.1876
		2.0452
		0.9229
		0.05

before iPhoneX	after iPhoneX
69	34
35	28
28	11
9	45
50	88
24	89
31	25
6	2
88	54
19	20
31	95
74	94
7	74
21	1
17	28
82	100
24	71
84	42
88	29
72	2
13	24
55	70
22	11
25	34
38	2
15	14
3	56
83	52
59	80
96	14

Answer 1

> x=scan("clipboard");x
Read 30 items
[1] 69 35 28 9 50 24 31 6 88 19 31 74 7 21 17 82 24 84 88 72 13 55 22 25 38
[26] 15 3 83 59 96
> y=scan("clipboard");y
Read 30 items
[1] 34 28 11 45 88 89 25 2 54 20 95 94 74 1 28 100 71 42 29
[20] 2 24 70 11 34 2 14 56 52 80 14
#herewe use paired t test for thesing the hypothesis
> t.test(y,x,paired=T)

Paired t-test

data: y and x
t = 0.097672, df = 29, p-value = 0.9229
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-13.95783 15.35783
sample estimates:
mean of the differences
0.7

# the correct p-value used for the statistical test is 0.9229

option c is correct