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Dvinal [7]
3 years ago
5

A research study was performed to determine if more than 30% of first-grade students at one school have entered Piaget’s concret

e operational stage of development. A p-value of .021 was computed and the researchers rejected the null hypothesis. They concluded that more than 30% of first-grade students at this school have entered the concrete operational stage of development. However, a census actually found that in the population of all first graders at this school, only 28% have entered the concrete operational stage. Which of the following occurred in this scenario?a) Type I errorb) Type II error
Mathematics
1 answer:
suter [353]3 years ago
7 0

Answer:

Type I error

Step-by-step explanation:

A type I error occurs if the null hypothesis is rejected when it is actually true.

Type I                                      Type II

Reject null when true           Fail to reject null when not true

Null hypothesis: ∪ = 30%

Alternative hypothesis: ∪ > 30%

The researchers concluded that more than 30% of first-grade students at this school have entered the concrete operational stage of development and they rejected the null hypothesis.

However, a census actually found that in the population of all first graders at this school, only 28% have entered the concrete operational stage.

A type I error has been made because in actuality the null hypothesis was true but was rejected.

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The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?
Irina18 [472]

Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                           N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know:

  • The initial quantity of silicone-32 is 30 g.
  • The time elapsed is 300 years.
  • The half life of silicone-32 is 710 years.

So, to find the quantity of silicone-32 remaining we apply the above equation

N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g

22.38 g of silicone-32 will be present in 300 years.

7 0
2 years ago
Part 2. State what additional information is required in order to know that the triangles are congruent by ASA.​
Helga [31]
<h3>Answer: Choice D. \angle SQR \cong \angle XQR</h3>

The red angle markers show those two angles are congruent. That's one "A" of "ASA". The S refers to a congruent pair of sides. We don't have any tickmarks to indicate congruent pairs; however, we do know that QR = QR is a shared side that overlaps (reflexive theorem). So this is the "S" in "ASA".

The thing missing is the angle Q of the top triangle, and also of the bottom triangle as well. If we know those two angles are congruent, then we have enough info to use ASA. More specifically, if we know that \angle SQR \cong \angle XQR, then we can use ASA.

One thing to notice is that the other answer choices involve side lengths and not angles. This implies that if A, B or C were one of the answers, then we would have something like SAS or SSS. But instead we want ASA. So we can immediately rule choices A,B, and C out.

7 0
3 years ago
Classify the following triangle. Check all that apply.
GaryK [48]
A and E I think because isosceles is two equal and one different and Right because it has a right/90° angle
4 0
2 years ago
A dilation is a transformation whose preimage and image are
Sergeeva-Olga [200]
A different size but not does not change shape.
3 0
3 years ago
Can someone help me with this homework?
Gemiola [76]

Answer: (-4, -1)

Step-by-step explanation:

Starting at point (-4, -2) and translating 3 units up means we add 3 to -2.

So the new point is now (-4, 1).

Now we reflect over the x-axis which means the y-value of 1 becomes negative.

So the final point is (-4, -1)

5 0
3 years ago
Read 2 more answers
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