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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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Citrus2011 [14]

Answer:

Compound interest.

Step-by-step explanation:

-In compound interest, your money grows more rapidly as the interest already earned also earns a further interest over time for the term of the investment.

-While in simple interest, only the principal amount invested will earn interest over the investment's term>

#Let's say you invest $100 each in A(earning simple interest) and B(earning compound interest), take the term of  both investments to be 5 yrs with both subject to an annual rate of 10%:

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\#A\\A=PRT+P\\\\=100\times 0.1\times 5+100\\\\=150\\\\\#B\\A=P(1+i)^n\\\\=100(1+0.1)^5\\\\=161.05

Hence, you notice that your earn more in compound interest keeping all other conditions similar.

6 0
3 years ago
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trapecia [35]

The expression that represent the total amount Ilean earned last week is 27(18) + 75  

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the total amount Ilean earned last week for working x hours.

Since she worked for 27 hours and earned $75 to design a web page. Hence:

y = 27(18) + 75

The expression that represent the total amount Ilean earned last week is 27(18) + 75  

Find out more on equation at: brainly.com/question/2972832

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8 0
2 years ago
Describe how the graph is related to y=x^2
Otrada [13]

I think the answer is b

but I'm not really sure

I hope this helps you out

5 0
3 years ago
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Where is the graph? not trying to be annoying just trying to answer ur question
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2 years ago
Jason wants to perform a two-tailed test for equality between two independent sample proportions. Each sample has at least 10 "s
Volgvan

Answer:

0.149

Step-by-step explanation:

Given that Jason wants to perform a two-tailed test for equality between two independent sample proportions

Each sample has at least 10 "successes" and 10 "failures."

Jason's test statistic is -1.44

Since here proportions are tested Z test might have been used.

Z statistic = -1.44

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Comparing this with t statistic we can decide whether to accept or reject null hypothesis.

6 0
3 years ago
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