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nordsb [41]
3 years ago
14

According to a poll, 55 % of Americans do not know that GOP stands for Grand Old Party (Time, October 17, 2011). Assume that thi

s percentage is true for the current population of Americans. Let p ^ be the proportion in a random sample of 953 Americans who do not know that GOP stands for Grand Old Party. Find the mean and standard deviation of the sampling distribution of p ^ and describe its shape.
Mathematics
1 answer:
Ivenika [448]3 years ago
3 0

Answer:

\hat p  \sim N (p , \sqrt{\frac{p(1-p)}{n}})

The mean is given by:

\mu_{\hat p} = 0.55

And the deviation:

\sigma_{\hat p} =\sqrt{\frac{0.55*(1-0.55)}{953}}= 0.0161

Step-by-step explanation:

For this case we assume that the true population proportion of Americans do not know that GOP stands for Grand Old Party is 0.55 and we select a random sample of n = 953 americans

For this case we assume that we satisfy the conditions to use the normal approximation for \hat p

1) np >10 , n(1-p)>10

2) Independence

3) Random sample

4) The sample size is less than 10% of the population size

We assume that all the conditions are satisfied and the distribution for \hat p would be:

\hat p  \sim N (p , \sqrt{\frac{p(1-p)}{n}})

The mean is given by:

\mu_{\hat p} = 0.55

And the deviation:

\sigma_{\hat p} =\sqrt{\frac{0.55*(1-0.55)}{953}}= 0.0161

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Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 10 17 6 33 Female 11 15 13 39
Akimi4 [234]

Answer:

1 / 12

Step-by-step explanation:

Given the following data:

_______A___ B ___C ___Total

Male__ 10 __ 17 ___6___ 33

Female_ 11__ 15___ 13___ 39

Total___21__ 32__ 19___ 72

Find the probability that the student was male AND got a "C"

Number of males who got C = 6

Total number of student students = 72

P(student was male and got C) = (number of males who got C / total number of students)

= 6 / 72

= 1 / 12

6 0
3 years ago
2x to the second power + 2 + 9x to the second power
____ [38]

Answer:

11x^2+2

Step-by-step explanation:

you put the 9x^2 beside 2x^2 because they are both x^2 then the 2 will stay the same

4 0
3 years ago
Read 2 more answers
Mr.ward and mr. heskey are racing toy cars and Mr. heskey wants to give mr. ward an 8 ft head start because his car is 2 seconds
DiKsa [7]

Answer:

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Step-by-step explanation:

From a reference point at the beginning of the track, Ward's car will be located 4s+8 feet down the track after s seconds. That is, it starts 8 feet down the track, and increases its distance by 4 feet every second.

From the same reference point, Heskey's car will be located 6s feet down the track after s seconds. Its distance starts from zero and is increasing at the rate of 6 feet every second.

For Heskey's distance to exceed Ward's distance you want ...

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6 0
3 years ago
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Fudgin [204]

Answer:

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Step-by-step explanation:

Each of the terms is the previous term multiplied by 6. You can find this by taking any term and dividing it by the one before it. The answer will always be 6.

-72/-12 = 6

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So, in order to find the next 3, we take the last term and multiply it by 6.

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4 0
3 years ago
5x 179∘=7x 157∘ what is x?
katen-ka-za [31]
I got X=11

Minus 7x on both sides
The equation the becomes :
-2x +179=157
Subtract 179 from both sides
Equation now is:
-2x= -22
Divide -2 on both sides
X= 11
4 0
3 years ago
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