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1 answer:
Answer:
It should be 1,628 .
Step-by-step explanation:
We see two shapes in the figure and those shapes are a rectangle and a circle. Let's find the area of the circle first. 25m won't help us find the area of the circle so let's pretend that 25m isn't there for now. 40m seems to be the diameter of the circle and to find the area of the circle we need to multiply the radius squared by Pi or 3.14. Half of 40 is 20 so we can multiply 20 squared by Pi to give us 1,256.63706. Do not round this number yet. As you can see this circle isn't a full circle. It's a semicircle. We can divide 1,256.63706 by 2 to find the area of a semicircle. You should get 628.31853 and round that to the nearest tenth and we get 628.32. Now let's keep that number in mind and find the area of the rectangle. Using a calculator we can easily multiply 40 and 25 to find the area of the rectangle, which is 1,000. Add 1,000 and 628.32 and our final results should be 1,628.32. I don't see this number in your options but option B is closely related to this answer. I hope this helps and if this answer is wrong then please give me some feedback on what I did wrong! Thank you!
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Answer:
The test statistic for testing if the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard is 3.234.
Step-by-step explanation:
We are given that in a random sample of 380 cars driven at low altitudes, 42 of them exceeded a standard of 10 grams of particulate pollution per gallon of fuel consumed.
In an independent random sample of 90 cars driven at high altitudes, 24 of them exceeded the standard.
Let = <u><em>population proportion of cars driven at high altitudes who exceeded a standard of 10 grams</em></u>.
= <u><em>population proportion of cars driven at low altitudes who exceeded a standard of 10 grams</em></u>.
So, Null Hypothesis, :
{means that the proportion of high-altitude vehicles exceeding the standard is smaller than or equal to the proportion of low-altitude vehicles exceeding the standard}
Alternate Hypothesis, :
{means that the proportion of high-altitude vehicles exceeding the standard is greater than the proportion of low-altitude vehicles exceeding the standard}
The test statistics that will be used here is <u>Two-sample z-test statistics</u> for proportions;
T.S. = ~ N(0,1)
where, = sample proportion of cars driven at high altitudes who exceeded a standard of 10 grams =
= 0.27
= sample proportion of cars driven at low altitudes who exceeded a standard of 10 grams =
= 0.11
= sample of cars driven at high altitudes = 90
= sample of cars driven at low altitudes = 380
So, the test statistics =
= 3.234
The value of z-test statistics is 3.234.
