Given : 79% (actual results are 400 out of 506 surveyed) of California adults feel that "education and our schools" is one of the top issues facing California.

i.e.Sample size : n= 506

Sample proportion : $\hat{p}=0.79$

Critical value for 90% confidence interval ( Using z-value table) :

$z=1.645$

Now, the 90% confidence interval for the population proportion will be :

$\hat{p}\pm z\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

i.e. $0.79\pm (1.645)\sqrt{\dfrac{0.79(1-0.79)}{506}}$

i.e. $0.79\pm (1.645)(0.0181)$

$\approx0.79\pm 0.030=(0.79-0.030,\ 0.79+0.030)\\\\=(0.760,\ 0.820)$

Hence, the 90% confidence interval for the population proportion= (0.760, 0.820)

7 0

3 years ago

The radius of a circle is 18 inches. What is the circle's area?

oksano4ka [1.4K]

Answer:

1017.88 inches

Step-by-step explanation:

Area = πr2 = π x 182 ≈ 1017.87602

3 0

3 years ago

This morning I went to Larry's for breakfast.

Olin [163]

Answer:

9 dollars and 18 cents

Step-by-step explanation:

6 0

3 years ago

Benny bought 8 new baseball cards to add to his collection. The next day his dog ate half his collection. There are now only 36

Bezzdna [24]

Benny started out with 80 Baseball cards.

36 x 2 + 8

4 0

3 years ago