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Scorpion4ik [409]
3 years ago
10

Determining null and alternative hypothesesA presidential candidate claims that the proportion of college students who are regis

tered to vote in the upcoming election is at least 62% . Suppose that we want to sample a number of college students and carry out a hypothesis test to see if this claim may be refuted. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.What is:H0_____.H1_____.
Mathematics
1 answer:
polet [3.4K]3 years ago
7 0

Answer:

H_0: p =0.62\\H_a: p\geq 0.62

Step-by-step explanation:

Given that a presidential candidate claims that the proportion of college students who are registered to vote in the upcoming election is at least 62% .

Let p be the proportion of college students who are registered to vote in the upcoming election

we have to check the claim whether p is actually greater than or equal to 62%

For this a hypothesis to be done by drawing random samples of large size from the population.

The hypotheses would be the proportion is 0.62 against the alternate that the proportion is greater than or equal to 0.62

H_0: p =0.62\\H_a: p\geq 0.62

(right tailed test at 5% level)

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In ΔRST, the measure of ∠T=90°, the measure of ∠R=39°, and TR = 55 feet. Find the length of ST to the nearest tenth of a foot.
kolbaska11 [484]

<u>Answer:</u>

<h2>ST = 44.54 ft</h2>

<u>Explanation:</u>

given:

∠T=90° , ∠R=39° and TR = 55 ft

ST = 55×tan(39)

ST = 55×0.80..

ST = 44.54 ft

7 0
3 years ago
The right triangle ABC is shown below. Find the missing side by using the Pythagorean theorem,if a=6ft and b=8ft​
docker41 [41]

Answer:

c = 10

Step-by-step explanation:

Using Pythagoras' theorem

The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other 2 sides, that is

c² = a² + b² ← substitute values

c² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

c = \sqrt{100} = 10

4 0
3 years ago
Read 2 more answers
at the bead shop, there are 25 rows of beads. if there are 320 beads in each row, how many beads are in the shop?
ruslelena [56]
 The answer is 25×320=8,000
5 0
3 years ago
Read 2 more answers
(1) What is the equation, in point-slope form, for a line that goes through (8, −4) and has a slope of negative 5/6 (all fractio
Andreyy89
Formula for point-slope: y - y1 = m(x-x1)
Plug in the values (1): y + 4 =  -\frac{5}{6} (x - 8)  {Choice B}
Plug in the values (2): y + 6 =  \frac{1}{3}(x+ 2)  {Choice C}
_______________________

[For (3) and (4) we need to solve for slope]

(3)
First, solve for slope.
Formula for slope: \frac{y2-y1}{x2-x1}
Plug in values: \frac{-1-5}{-4-7} = - \frac{6}{11}
Slope: - \frac{6}{11}
Second, we must plug into point-slope form. 
Formula for point-slope: y - y1 = m(x-x1)
Plug in the values: y + 1 = - \frac{6}{11}(x + 4)   {Choice C}


(4)
First, solve for slope.
Formula for slope: \frac{y2-y1}{x2-x1}
Plug in values: \frac{6-(-8)}{-4-7} = - \frac{14}{11}
Slope: - \frac{14}{11}
Second, we must plug into point-slope form. 
Formula for point-slope: y - y1 = m(x-x1)
Plug in the values: y - 6 = - \frac{14}{11}(x + 4)   {Choice D}

8 0
3 years ago
Read 2 more answers
Angela decides to recycle a large oatmeal container by using it to hold a friends birthday gift. Then she wraps the container in
Deffense [45]

Answer:

D. 135.37 in²

Step-by-step explanation:

We have that the gift paper consists of two circles and a square.

Thus, we will need to find the area of the circles and the square.

Now, as the diameter of the circle = 4 inches

So, the radius of the circle = \frac{4}{2} = 2 inches

Since, the area of a circle = \pi r^{2}

This implies that area of the two circles = 2\times \pi r^{2}

i.e. Area of the circles =  2\times \pi 2^{2}

i.e. Area of the circles =  8\pi

i.e. Area of the two circles = 25.133 in²

Further, one side of the square = 10.5 inches

Thus, the area of the square = side^{2}

i.e. Area of the square = 10.5^{2}

i.e. Area of the square = 110.25 in²

So, the overall area of the gift paper = 25.133 + 110.25 = 135.37 in².

Hence, the amount of paper used by Angela is 135.37 in².

7 0
3 years ago
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