Need help with this question please John is the Mayor of New

Need help with this question please.

John is the Mayor of New York and is seeking reelection. His opponent is running on the platform of making the city safe and especially targeting the murder rate. The national average number of murders is 450. The number of murders in New York has averaged 520 with a standard deviation = 75 (sample size = 1,000). Conduct a 5-step hypothesis testing process to determine if this is a significant difference between New York and the population of 450 using a significance level of 0.01. a. Step 1 a.Step 1 b.Step 2 c.Step 3 d.Step 4 e. Step 5

Solution

Set Up Hypothesis
Null Hypothesis H0: U=450
Alternate Hypothesis H1: U!=450
Test Statistic
Population Mean(U)=450
Given That X(Mean)=520
Standard Deviation(S.D)=75
Number (n)=1000
we use Test Statistic (Z) = x-U/(s.d/Sqrt(n))
Zo=520-450/(75/Sqrt(1000)
Zo =29.5146
| Zo | =29.5146
Critical Value
The Value of |Z | at LOS 0.01% is 2.58
We got |Zo| =29.5146 & | Z | =2.58
Make Decision
Hence Value of | Zo | > | Z | and Here we Reject Ho
P-Value : Two Tailed ( double the one tail ) - Ha : ( P != 29.5146 ) = 0
Hence Value of P0.01 > 0, Here we Reject Ho

We have significant difference between New York and the population of 450