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wariber [46]
3 years ago
11

Let p be a population proportion. Consider the problem of testing H0 : p ≥ 0.4 based on a simple random sample of size n.(a) Sta

te the test statistic and its approximate distribution when p = 0.4 and n large enough.(b) State the rule for rejecting H0 at significance level 1% and compute its power function.(c) What is the smallest n such that the power is at least 70% when p = 0.35?(d) What is the p-value if the observed value of the sample proportion is 36% and n = 100? Is H0 rejected at significance level 1%?
Mathematics
1 answer:
Brut [27]3 years ago
8 0

Answer:

Please see the answer attached .

Step-by-step explanation:

Please see the explanation attached .

Download pdf
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earnstyle [38]

Step-by-step explanation:

Given

2a + b = 6......equation 1

a - 6 = b

a = b + 6........equation 2

Putting equation 2 in equation 1

2 ( b + 6 ) + b = 6

2b + 12 + b = 6

3b = 6 - 12

3b = - 6

b = - 6 / 3

Therefore b = - 2

Now

a = - 2 + 6 = 4

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3 years ago
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The sum of the squares of three consecutive integers is 509. Determine the integers.
GalinKa [24]

Answer:

12, 13, 14

Step-by-step explanation:

Denote the integers as:

x

x+1

x+2

The sum of their squares, so that would be;

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write out the squares

x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509

combine like terms

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3x^2 + 6x + 5 = 509

                -5     -5

3x^2 + 6x = 504

factor

3x^2 + 6x = 504

3 ( x^2 + 2x ) =504

Inverse operations

3 ( x^2 + 2x ) = 504

/3                       /3

x^2 + 2x = 168

Factor again

x ( x + 2 ) = 168

At this point, it should be obvious that x is 12 (because 12 * 14 = 168)

So now substitute back into the consecutive numbers

x = 12

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3 years ago
Fifteen less than four times a number
Nostrana [21]
The equation for this should be 4n - 15
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S_A_V [24]

Answer:

Angle parking is more common than perpendicular parking.

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Step-by-step explanation:

Considering the available options, the true statement about angle parking is that" Angle parking is more common than perpendicular parking." Angle parking is mostly constructed and used for public parking. It is mostly used where the parking lots are quite busy such as motels or public garages.

Therefore, in this case, the answer is that "Angle parking is more common than perpendicular parking."

Also, "Angle parking spots have half the blind spot as compared to perpendicular parking spaces."

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Sladkaya [172]

Step-by-step explanation:

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