According to the hypothesis test, the option that gives the most appropriate method for creating such an estimate is:
A one-sample z-interval for a population proportion.
<h3>What is the hypothesis test?</h3>
He will test if there is enough support to build a new middle school, that is, if the population proportion that supports the building of a new middle school is greater than a threshold.
Only one sample is taken from the district residents, hence the correct option is:
A one-sample z-interval for a population proportion.
You can learn more about hypothesis tests at brainly.com/question/26454209
Answer:
y = 102° , z = 75°
Step-by-step explanation:
Assuming this is geometry, you must find the value of 'z' first.
Using the [Supplementary Angles Theorem] for 'z' :
105° + z = 180°
Solve for z.
z = 75°
You may also hear that those two angles are a 'Linear Pair'
Then using the formula for: [Sum of Internal Angles]
Which is: sum = (n-2) * 180° where 'n' is the number of sides
The total sum of internal angles of a quadrilateral is 360°
Now knowing 3 of the 4 interior angles, you can just do arithmetic:
99° + 84° + 75° + y = 360°
Simplify:
258° + y = 360°
Therefore:
y = 102°
Answer:
B. 0.0122
Step-by-step explanation:
According to the given data the claim is:
"Proportion of students who went to the movie theater last weekend is greater than 0.2"
Since, the word "greater than" is used in the claim, this claim will be our alternate hypothesis and the hypothesis test will be a one-tailed test i.e. Right tailed test because of the word "greater than".
We are given that the hypothesis test was conducted for a random sample of 100 students and it yielded a z-value of 2.25. We have to find the p-value associated with this z-score
So, we have to find p-value corresponding to z-score of 2.25 and Right Tailed Test. We have to use z-table for this purpose and find the probability of z score being greater than 2.25. From the z-table this value comes out to be:
p-value = 0.0122
Therefore, option B gives the correct answer.
The function with the greatest average rate of change is the function k(x)
<h3>How to determine the function?</h3>
The average rate of change is calculated as
The interval is [0,2].
So, we have
For function j(x), we have
j(2) = 3 * 1.6^2 = 7.68
j(2) = 3 * 1.6^0 = 3
So, we have
For function g(x), we have
g(2) = 25/2
g(0) = 8
So, we have
For function k(x), we have
k(2) = 9
k(0) = 4
So, we have
For function f(x), we have
f(2) = 1.5 * 2^2 = 6
f(0) = 1.5
So, we have
The function with the greatest average rate of change is the function k(x) with a rate of 2.5
Read more about average rate of change at:
brainly.com/question/23715190
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Answer: c and d
Step-by-step explanation: