Mathematics, 04.11.2020 18:20 ava789

Of the respondents, 514 replied that America is doing about the right amount. What is the 95 % confidence interval for the proportion of all American adults who feel that America is doing about the right amount to protect the environment. g

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Answer from: jakebuttone

Complete Question

In 2015 as part of the General Social Survey, 1127 randomly selected American adults responded to this question: “Some countries are doing more to protect the environment than other countries. In general, do you think that America is doing more than enough, about the right amount, or too little?” Of the respondents, 514 replied that America is doing about the right amount. What is the 95 % confidence interval for the proportion of all American adults who feel that America is doing about the right amount to protect the environment.

The 95% confidence interval is 0.427 < p < 0.4852

Step-by-step explanation:

From the question we are told that

The sample size is n = 1127

The number that America is doing the about the right amount is k = 514

Generally the sample proportion of the number that say america is doing about the right amount is mathematically represented as

$\^ p = \frac{k}{n}$

=> $\^ p = \frac{514 }{ 1127}$

=> $\^ p = 0.4561$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.96 * \sqrt{\frac{ 0.4561 (1- 0.4561)}{1127} }$

=> E = 0.0291

Generally 95% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> 0.4561 -0.0291 < p < 0.4561 +0.0291

=> 0.427 < p < 0.4852

Answer from: Quest

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

Which rule describes the composition of transformations that map ∆def to ∆d"e"f"? (look at picture)<

Answer from: Quest

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation: