1. in an august 2012 gallup survey of 1,012 randomly selected u. s. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. they also report that the "margin of sampling error is plus or minus 4%." (a) (2 points) what is the population of interest? (b) (2 points) what is the sample being used? (c) (2 points) what is the population parameter of interest, and what is the correct notation for this parameter? (d) (2 points) what is the relevant statistic? (e) (2 points) what is the best estimate of the proportion of u. s. adults who are dissatisfied with the quality of education students receive in kindergarten through grade 12. (f) (3 points) find an interval estimate for the parameter of interest. interpret it in terms of dissatisfaction in the quality of education students receive. use two decimal places in your answer.

Step-by-step explanation:

The proportion of U.S. adults (age 18 and over) who were dissatisfied with the quality of education students receive in kindergarten through grade 12 = p = 0.53.

And, the margin of error =

a.) The population of interest is the U.S. adults aged over 18 years.

b.) The sample of 1,012 randomly selected U.S. adults aged over 18 years is being used for the gallop survey in August 2012.

c.)  The population parameter of interest is 'The proportion of U.S. adults (aged over 18 years) dissatisfied with the quality of education students receive in kindergarten through grade 12'.

And, this is denoted by 'P'.

The population parameter for this can be estimated from the sample proportion as -

P = E[p] = E[0.53] = 0.53

So, relevant statistic = P = 0.53.

20)  The interval estimate for the population proportion is -

p - ME < P < p + ME

Where 'p' is the sample proportion and

'ME' is the margin of error.

So, we get -

0.53 - 0.04 < P < 0.53 + 0.04

=> 0.49 < P < 0.57

This suggests that the population proportion of U.S. adults who feel that the quality of education students receive in kindergarten through grade 12 is not satisfactory lies between 0.49 and 0.57.

That means 49% to 57% of the U.S. adults are dissatisfied with the quality of education students receive in kindergarten through grade 12.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15