Answer:
C. with 3000 successes of 5000 cases sample
Step-by-step explanation:
Given that we need to test if the proportion of success is greater than 0.5.
From the given options, we can see that they all have the same proportion which equals to;
Proportion p = 30/50 = 600/1000 = 0.6
p = 0.6
But we can notice that the number of samples in each case is different.
Test statistic z score can be calculated with the formula below;
z = (p^−po)/√{po(1−po)/n}
Where,
z= Test statistics
n = Sample size
po = Null hypothesized value
p^ = Observed proportion
Since all other variables are the same for all the cases except sample size, from the formula for the test statistics we can see that the higher the value of sample size (n) the higher the test statistics (z) and the highest z gives the strongest evidence for the alternative hypothesis. So the option with the highest sample size gives the strongest evidence for the alternative hypothesis.
Therefore, option C with sample size 5000 and proportion 0.6 has the highest sample size. Hence, option C gives the strongest evidence for the alternative hypothesis
The value of csc theta is 
<h3>How to determine the value</h3>
It is important to note that the ratio for cot is given as;
Cot theta = adjacent/opposite
cosec theta = hypotenuse/opposite
If cot theta = 3/2, then
Adjacent = 3
Opposite = 2
Using Pythagoras theorem, we have
Hypotenuse square = opposite + adjacent square
Cosec theta =
Thus, the value of csc theta is
Learn more about trigonometric ratio here:
brainly.com/question/13276558
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Answer:
x = 3.75
Step-by-step explanation:
So, lets start with what we know.
Line = 180 degrees
Triangle = 180 degrees, a + b + c = 180
So, we can form the equations,
17x - 1 + <CDB = 180
-17x + 1 -17x + 1
<CDB = 181 - 17x
and
84 +7x + 5 + <CDB = 180
89 + 7x + <CDB = 180
-89 -89 + 7x
<CDB = 91 + 7x
Here, we are given 2 values of <CDB, but they must be the same, so let's substitute them into each other
181 - 17x = 91 + 7x
-91 +17x -91 +17x
90 = 24x
90 / 24 = 24x / 24
3.75 = x
x = 3.75
There, you have it, x is 3.75
If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it!
