Answer:
Pvalue = 0.193
There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%
Step-by-step explanation:
H0 : p = 0.4
H1 : p < 0.4
Test statistic :
z=pˆ−p/√p(1−p)/n
pˆ = 74 / 200 = 0.37
Z = (0.37 - 0.40) / √(0.40(1 - 0.40) / 200
Z = - 0.03 / √0.0012
Z = - 0.03 / 0.0346410
Z = - 0.866
Test statistic = -0.866
The Pvalue :
P(Z < -0.866) = 0.193
α - level = 0.05
If Pvalue < α ; Reject H0
Since Pvalue > α ; There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%
Complete Question
The complete question is shown on the first uploaded image
Answer:
a

b
c
The correct option is D
Step-by-step explanation:
From the question we are told that
The margin of error is 
The largest value is k = 15
The smallest value is u = 7
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally population standard deviation estimate is mathematically represented as

Here the Range is mathematically represented as

=> 
=> 
=> 
=> 
Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%20%5E2)
=> ![n = [1.96 * 2 }{0.23} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B1.96%20%20%2A%20%202%20%7D%7B0.23%7D%20%5D%20%5E2)
=> 
Generally to obtain a conservatively small sample size the population standard deviation estimate becomes
=> 
=> 
=> 
Generally the conservatively small sample size is mathematically evaluated as
![n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%20%5E2)
=> ![n = [1.96 * 1.333 }{0.23} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B1.96%20%20%2A%20%201.333%20%7D%7B0.23%7D%20%5D%20%5E2)
=>
Answer:
x - 6
Step-by-step explanation:
I'm showing you how I solved it in the picture that I have included.
Answer:
The 3rd and 4th option
Explanation:
A function only works when the input (x) only has one output (y).
The first, second, and the last option has the input has two or more outputs.
Fun Fact:
It is okay for the outputs to have more then in input, but not okay for the input to have more then one output.
I hope this help and have a nice day :)