Answer:
The value of the test statistic is 6.642.
Step-by-step explanation:
A Chi-square test for Goodness of fit will be used to determine whether the viewing audience proportions changed.
The hypothesis is defined as:
<em>H₀</em>: The viewing audience proportions has not changed.
<em>Hₐ</em>: The viewing audience proportions has changed.
The test statistic is:
![\chi^{2}=\sum \frac{(O-E)^{2}}{E}](https://tex.z-dn.net/?f=%5Cchi%5E%7B2%7D%3D%5Csum%20%5Cfrac%7B%28O-E%29%5E%7B2%7D%7D%7BE%7D)
Here,
O = observed frequencies (O - E)²
E = expected frequencies = n × p
The table below shows the observed and expected frequencies.
Compute the test statistic value as follows:
![\chi^{2}=\sum \frac{(O-E)^{2}}{E}\\=0.011+1.282+4.379+0.970\\=6.642](https://tex.z-dn.net/?f=%5Cchi%5E%7B2%7D%3D%5Csum%20%5Cfrac%7B%28O-E%29%5E%7B2%7D%7D%7BE%7D%5C%5C%3D0.011%2B1.282%2B4.379%2B0.970%5C%5C%3D6.642)
Thus, the value of the test statistic is 6.642.
Answer:sinA=8/17
Step-by-step explanation:
Using Pythagoras principle
x=√(15^2+8^2)
x=√(15x15+8x8)
x=√(225+64)
x=√(289)
x=17
SinA=opposite/hypothenus
SinA=8/17
Answer:
74.4cm
Step-by-step explanation:
Perimeter is L + L + W + W
or 2L +2W
so 2(18.7) + 2(18.5) = 74.4 cm
Answer:
To find the least common denominator, simply list the multiples of each denominator multiply by 2, 3, 4, etc. out to about 6 or seven usually works then look for the smallest number that appears in each list.
Step-by-step explanation: hope thats helps
The price of the fries would be $2.50, the price of the drink would be $2.50, and the price of the cheeseburger wold be $7.50.
We can write a set of equations to represent the prices, if 'f' is fries, 'd' is drink, and 'c' is cheeseburger:
c = 3f
f = d
Using these equations, we can then write out the sum of the items also, as it would be c + f + d = 12.50, but as we know that c = 3f and d = f, we can write it as 3f + f + f = 12.50, and then solve:
3f + f + f = 12.50
5f = 12.50
÷ 5
f = $2.50
Now that we know the price of the fries, we know that the price of the drink is the same, so the drink is also $2.50. Then, we can multiply 2.50 by 3 as we know that the cheeseburger is 3 times the cost of the fries, and 2.50 × 3 = 7.50.
I hope this helps!