A null hypothesis can only be rejected at the 5% significance level if and only if:

1 answer:

4 0

The probability of the outcome's occurrence by "chance" is 5% or less. "Chance" results are those that are within normal variation, which is defined as 2 standard deviations from the mean. Results that are less than 2 standard deviations from the mean are considered not statistically significant, meaning that the null hypothesis should not be rejected. There are some differences the point at which the 5% case occurs, depending on whether the null hypothesis is directed or not.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The diagram shows a balanced set of 2 sides, meaning that both sides equal each other. I assume you don't know what x is, so the simplest you can do to combine all three parts of the left side of the diagram is 2x+3, which of course equals 7, the right side.

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Answer: Choice C
7 divided by cosec 50 degrees

=====================================

Explanation:

Abbreviations:
sec = secant
cot = cotangent
cosec = cosecant (csc is also a widely used abbreviation)

-----------------

Let the horizontal leg be x

This leg is opposite the angle 50 degrees. The hypotenuse is 7

Opposite = x
Hypotenuse = 7

We'll either use the sine rule or the cosecant (csc) rule
sine = opposite/hypotenuse
cosecant = hypotenuse/opposite

Since "sine" is nowhere to be found in the answer choices, we'll use the cosecant rule

-----------

cosecant = hypotenuse/opposite
csc(angle) = hypotenuse/opposite
csc(50) = 7/x
x*csc(50) = 7
x = 7/csc(50)

This is why the answer is choice C

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3 years ago

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