Question

Do people under 40 defecate more than 3 times a day? I need to find a proper hypothesis testing and I am unsure of what data to actually use to construct the claim, NULL, ALT, SIGNIFICANCE LEVEL and appropiate test statistics. (AGE/TIMES PER DAY)

40	4
43	1
42	2
70	1
66	3
27	2
69	4
70	1
47	3
48	1
43	2
28	2
37	6
20	1
20	0
39	5
24	5
21	3
20	1
21	3
18	1
22	1
23	1
19	2
23	2
17	4
42	1
45	2
24	2
67	1

Answer 1

Do people under 40 defecate more than 3 times a day? I need to find a proper hypothesis testing and I am unsure of what data to actually use to construct the claim, NULL, ALT, SIGNIFICANCE LEVEL and appropiate test statistics. (AGE/TIMES PER DAY)

There are 17 people under the age 40.

Sorted data

age	TIMES PER DAY
17	4
18	1
19	2
20	1
20	0
20	1
21	3
21	3
22	1
23	1
23	2
24	5
24	2
27	2
28	2
37	6
39	5

Upper tail test

calculated t= -1.4286

Table value of t with 16 DF at 0.05 level =1.7459

Rejection Region: Reject Ho if t > 1.7459

Calculated t = -1.4286 , not in the rejection region

The null hypothesis is not rejected.

There is not enough evidence to support the claim, people under 40 defecate more than 3 times a day.

t Test for Hypothesis of the Mean
Data
Null Hypothesis                m=	3
Level of Significance	0.05
Sample Size	17
Sample Mean	2.4118
Sample Standard Deviation	1.6977
Intermediate Calculations
Standard Error of the Mean	0.4118
Degrees of Freedom	16
t Test Statistic	-1.4286
Upper-Tail Test
Upper Critical Value	1.7459
p-Value	0.9138
Do not reject the null hypothesis