Mathematics, 21.04.2020 22:50, Mtross30

Several years ago, 42% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1 comma 075 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1 comma 075 surveyed, 462 indicated that they were satisfied. Construct a 90% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.

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The 90% confidence interval for the proportion of parents who had children in grades K-12 were satisfied with the quality of education the students receive is (0.405, 0.455). 0.42 = 42% is part of the confidence interval, so we are 90% sure that there is no evidence that parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$\pi = 462, n = \frac{462}{1075} = 0.4298$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so Z = 1.645 .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4298 - 1.645\sqrt{\frac{0.4298*0.5702}{1075}} = 0.405$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4298 + 1.645\sqrt{\frac{0.4298*0.5702}{1075}} = 0.455$

answered: Guest

step-by-step explanation:

so first find out how much each is worth.

quarter= 25 cents

dime= 10 cents

pennies= 1 cent

then multiply each by how much each is worth.

200 150 300

x x x 1

25 10

300

1000 1500

4000

5000

then count 2 from the back and add a period.

$50.00

$15.00

$3.00

and then add them

$50.00

$15.00

$3.00

$68.00

so sunghee has $68.00

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