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docker41 [41]
2 years ago
8

An article measured speeds of vehicles on several roads in the state of Kansas. On South Cedar Niles, 73 vehicles were observed,

and 49 of them were exceeding the speed limit. Can you conclude that more than half of the vehicles on South Cedar Niles exceed the speed limit? Find the P-value and state a conclusion.
Mathematics
1 answer:
kifflom [539]2 years ago
5 0

Answer:

The sample supports the hypothesis that more than half of the vehicles in South Cedar Niles exceed the speed limit.

p-value = 0.00092

Step-by-step explanation:

To solve this problem, we run a hypothesis test about the population proportion.

Proportion in the null hypothesis \pi_0 = 0.5

Sample size (n) = 73

Sample proportion (p) = 49/73 = 0.6712

H0: \pi_0 = 0.5

Ha: \pi_0 \geq  0.5

Test statistic = (p - pi)\sqrt{n} / \sqrt{\pi_0 (1-\pi_0)}

Calculated statistic = (0.6712 - 0.5)\sqrt{73} / \sqrt {0.5(1-0.5)} = 2.9255

p-value = 0.00092

Since, p - value is less than or equal to 0.05, the null hypothesis must be rejected. The sample supports the hypothesis that more than half of the vehicles in South Cedar Niles exceed the speed limit.

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Angelina_Jolie [31]

Answer: point C = (3.75, 1.5)

Step-by-step explanation:

As the direction of the distance is from A to B, we need to down the y-axis and along (to the right) the x-axis.

Find the distance between the x-coordinates of both points by subtracting the x-coordinate of A from the x-coordinate of B:

5 - 0 = 5

3/4 of the length of this distance = 0.75 x 5 = 3.75

So the x-coordinate of C will be the sum of the distance (3.75) and the x-coordinate of A (as we are "travelling" from A to B):

3.75 + 0 = 3.75

Find the distance between the y-coordinates of both points by subtracting the y-coordinate of B from the y-coordinate of A:

3 - 1 = 2

3/4 of the length of this distance = 0.75 x 2 = 1.5

So the y-coordinate of C will be the y-coordinate of A minus the distance (1.5):

3 - 1.5 = 1.5

Therefore, point C = (3.75, 1.5)

Hope that helps - i dont know what u meant by option 1,2,3 so if u have an questions or i did it wrong i will fix it <3

   

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2 years ago
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Paraphin [41]

Answer: wow that’s a lot of stuff

Step-by-step explanation:

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3 years ago
Jean saw a basic computer for $695.00 and a printer for $95.00. In order to buy the computer, Jean would work each week for four
Snowcat [4.5K]

Answer:

YES

Step-by-step explanation:

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2 years ago
A sample of students is taken from the school's A honor roll. The school estimates that there are actually 360 students on the A
aliya0001 [1]

Answer:

360 - Y

Step-by-step explanation:

From the information provided in the question, we will understand that the question lacks detailed information.

Given that:

The total number of actual students on the A honor roll = 360

To find the number of students on the A honor roll of 8th graders;

Let denote Y to represent the total number of students who exist on the A honor roll except for the 8th graders.

Then:

The number of 8th graders = all number of students on are on the A honor roll - Y

The number of 8th graders = 360 - Y

If Y is known, then the number of the 8th graders can be fully determined.

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2 years ago
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Answer:

y = x^2 - 4x - 5

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