The equation of the piecewise defined function f(x) is below. What is the value of f(1)?

Several years ago, 50% of parents who had children in grades K-12 were satisfied with the quality of education the students r

galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

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:

$n = 1095, \pi = \frac{478}{1095} = 0.4365$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612$

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.

5 0

2 years ago

Find the zeros or roots for the quadratic expression 2^2−8−10. Must show all work to receive credit

Sav [38]

Answer:

x = -1,5

Step-by-step explanation:

2x² - 8x - 10

2x² - 10x + 2x - 10

2x(x - 5) + 2(x - 5)

(x - 5)(2x + 2)

x = 5 x = -2/2

x = -1,5

5 0

2 years ago

George has steak and chicken in the freezer. The temperature of the steak is -6.3°C, and the temperature of the chicken is -6.3°

mina [271]

Hello!

The answer is steak's temperature = chicken's temperature since they are both -6.3°C

Hope this helps!

3 0

3 years ago

20 is what percent of 52? Solve with an Equation

eduard

Answer:

38.46

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

What 2 numbers multiply to be 108 but subtract to be 6

mel-nik [20]

No 2 numbers do this.

Possible numbers that can multiply to 108:

<span>1 x 108 = 108
2 x 54 = 108
3 x 36 = 108
4 x 27 = 108
6 x 18 = 108
9 x 12 = 108
12 x 9 = 108
18 x 6 = 108
27 x 4 = 108
36 x 3 = 108
54 x 2 = 108
108 x 1 = 108

Possible numbers on that list that when subtracted equate to 6:

None</span>

3 0

2 years ago