The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, $\hat p$ .

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

$CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Given:

n = 150

$\hat p$ = 0.68

The critical value of <em>z</em> for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the 95% confidence interval for proportion as follows:

$CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)$

Thus, the reasonable range for the population mean is (61%, 75%).

5 0

3 years ago

Tina observes the points on the plane of a paper. What is the minimum number of points required to make a plane?

Ymorist [56]

Isnt it 3? because hes making a plane

3 0

3 years ago

Need help in math will give BRAINLY

Nady [450]

1. -18 +15x = 3(4x-6) + 3x

-18 + 15x = 12x - 18 + 3x

-18 + 3x = -18 + 3x

3x = 3x

x = All Real Numbers (because we don't know what x is since the equation is 3x = 3x, we can assume that it is all "real" numbers)

2. -10 + 5x = 5(x - 3) + 5

-10 + 5x = 5x - 15 + 5

-10 = -10

Answer Undefined (because the x coefficients canceled out, we don't know what x even is, so we can claim it as undefined.)

3 0

3 years ago