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Can somebody please explain thoroughly how to do question #3. I have worked through to get the z score 2.02 but am unsure how to

Can somebody please explain thoroughly how to do question #3. I have worked through to get the z score 2.02 but am unsure how to use this to get the critical value for the one tailed test and then what to do with that. Also what H0 or Ha means. Please explain every step involved and why it is being done/where values are coming from.I've read through the textbook and online over and over but just dont get it. Thank you

Q1: What is the standard error of the mean? Week Number of People Staying at the Hotel
1 200
Answer: 15.3492 2 300
3 380
Standard deviation/square root of sample # 4 250
5 350
Q2: How would the standard error change if the sample size had been 100 instead of 35? 6 320
(Assume that the sample standard deviation did not change.) 7 300
8 220
The standard error will decrease if the sample size is increased to 100. 9 220
Standard error and sample size are inversely proportional. This means that as the sample size increases, the standard error will decrease. 10 420
11 340
12 140
Q3: Test the marketing manager's claim, and provide your conclusion about whether or not the new plan 13 440
increased the number of people staying at the hotel. 14 320
Note: The population standard deviation = 82 is assumed known, and the level of significance is = .05. 15 440
16 290
17 290
Original average 300 18 480
Sample average 328 19 350
20 440
Z=(x-)/(/n) 21 300
Z=(328-300)/(82/35) 22 110
23 260
Z=2.02 24 320
25 480
26 310
27 280
28 400
29 410
30 390
31 420
32 260
33 290
34 320
35 440

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