Answer:
The degrees of freedom are given by;
The significance level is 0.1 so then the critical value would be given by:
If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays
Step-by-step explanation:
For this case we have the following observed values:
Mon 25 Tue 22 Wed 19 Thu 18 Fri 16 Total 100
For this case the expected values for each day are assumed:
The statsitic would be given by:
Where O represent the observed values and E the expected values
The degrees of freedom are given by;
The significance level is 0.1 so then the critical value would be given by:
If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays
Answer:
Step-by-step explanation:
<em>Step 1: Define significance level</em>
In this hypothesis testing problem, significance levels α is selected: 
, the associated z-value from Laplace table:
Φ(
) = α - 
=> = 
<em>Step 2: Define null hypothesis (</em>
<em>) and alternative hypothesis (</em>
<em>)</em>
: rate of flu infection 
= 8.3% or 8.3/100 = 0.083
: rate of flu infection < 8.3% or 8.3/100 = 0.083
<em>Step 3: Apply the formula to check test statistic:</em>
with 
is actual sampling percent, is rate of flu infection of , 
is number of samples.
The null hypothesis will be rejected if 
<em>Step 4: Calculate the value of K and compare with </em>
We have 
=>This is good evidence to reject null hypothesis.
=> The actual rate is lower. (As states)
Hope this helps!
:)
The correct answer is D. 1,136
This is because when you divide 3,000 by 140 (the total amount of people surveyed) you get about 21. Then multiply 21 by the number of people who chose N. Monroe (53). That answer is 1,136.
First subtract the constant to the other side to simplify it for now
y-5=-x^2+6x
Then pull out a common factor so the coefficient is x^2
y-5=-1(x^2-6x)
Next you take 1/2 of the b value (-6) and square it to find your c value
[1/2(-6)]^2=9
After that plug 9 into your equation as your c value
y-5=-1(x^2-6x+9)
Adding the C-value (9) causes the equations to become unbalanced so you need to balance them back out by minus 9 to the other side
y-14=-1(x^2-6x+9)
Now you want to simplify the equation on the right side.
y-14=-1(x-3)^2
Finally you want to add the constant back to the right side.
y=-1(x-3)^2+14 <——— vertex form
maximum=(3,14)
Whenever there are two - signs, this means it turns into a plus. So it would be -
1+2
And it would equal 3!
