I would like confirm if my Null and Alternative hypothesis with the data set shown below are correct. My goal is to be able to say that when OT when covid numbers are up > OT covid #s down and the alternative hypothesis would be: OT when covid numbers are up = OT Covid #s Down

Please help confirm if the above is ac

My Data is as follows, If possible could you also let me know what would be the best T-Test to use for this example?

Date	Patients in unit	Total Productive hours	Overtime Hours
8/8/21-8/21/21	94	2021.4	9.15
8/22/21-9/4/21	125	2420.45	32.6
9/5/21-9/18/21	145	2448	75.98
9/19-10/2/21	130	2427.35	88.25
10/3/21-10/16/21	129	2471.2	101.4
10/17/21-10/30/21	134	2237.8	14.4
10/31/21-11/13/21	149	2769.45	117.3
11/14/21-11/27/21	147	2696.4	69.6
11/28/21-12/11/21	134	2260.12	11.9
1/23/22-2/5/22	136	2567.9	90.65
2/6/22-2/19/22	120	2637.2	50.3
2/20/22-3/5/22	104	2150.4	10.6
3/6/22-3/19/22	99	2066	9.05
3/20/22-4/2/22	107	2310.78	12.2
4/3/22-4/16/22	110	2405.52	35
4/17/22-4/30/22	105	2256.05	33.4
5/1/22-5/14/22	133	2314.65	92.5
5/15/22-5/28/22	104	2223.32	8.8
5/29/22-6/11/22	112	2196.97	13.9
6/12/22-6/25/22	134	2510.4	19.53
6/26/22-7/9/22	120	2480.67	2.93
7/10/22-7/23/22	95	2002	3
7/24/22-8/6/22	108	2203	1.8