What is the percentage increase from 9 to 10.25

113.8(with a repeating 8)%
To find this answer, I divided 10.25 by 9 and got 1.13888(with a repeating 8). To turn that into a percent, I multiplied it by 100 and got 113.8(with a repeating 8)%.

By 113.8(with a repeating 8)% I mean 113.8888888888...%

13.8888

Step-by-step explanation:

https://www.percentagecal.com/answer/what-is-percentage-difference-from-25-to-41#:~:text=Percentage%20Calculator%3A%20What%20is%20the,%3D%2064

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 14.6% or not. So we need to use a one proportion z test and the system of hypothesis are:  

Null hypothesis:  

Alternative hypothesis:  

A. One-proportion z-test

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

(1)  

And the conditions required are:

1) The data comes from a random sampling

2) Independence condition between observations

3) np>10 and n(1-p)>10

4) The sample size is 10 times lower than the population size.

Step-by-step explanation:

Data given and notation

n=865 represent the random sample taken

X=159 represent the housing units that are vacant

estimated proportion of vacant units

is the value that we want to test

represent the significance level

z would represent the statistic (variable of interest)

represent the p value (variable of interest)  

Solution to the problem

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 14.6% or not. So we need to use a one proportion z test and the system of hypothesis are:  

Null hypothesis:  

Alternative hypothesis:  

A. One-proportion z-test

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

(1)  

And the conditions required are:

1) The data comes from a random sampling

2) Independence condition between observations

3) np>10 and n(1-p)>10

4) The sample size is 10 times lower than the population size.