Help please will give brainly! Calculate the mean and median below and answer the questions.

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 $1 - \frac{\alpha}{2}$ .

The margin of error is of:

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

35% of junior executives left their company within three years.

This means that $\pi = 0.35$

0.95 = 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 $Z = 1.96$ .

To update this study, how many junior executives should be surveyed?

Within 3% of the proportion, which means that this is n for which M = 0.03. So

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

$0.03 = 1.96\sqrt{\frac{0.35*0.65}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.35*0.65}$

$\sqrt{n} = \frac{1.96\sqrt{0.35*0.65}}{0.03}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.35*0.65}}{0.03})^2$

$n = 971.2$

Rounding up:

972 junior executives should be surveyed.

5 0

3 years ago

Anton joined a gulf club two years ago. He pays ana annual membership fee of $895 and a green fee of $30 each time he plays a ga

maksim [4K]

Answer:

Anton played a total of 39 games.

Step-by-step explanation:

If you want to calculate the amount of games played, you must first subtract the membership fee of 895 to get 1170. As you are charged $30 for each game, you must divide by thirty.

If you are fond of graphing, know this equation can also be expressed in slope-intercept form (y = mx + b) as y = 30x + 895, with x being the number of games played and the y-intercept (895) being your initial cost.

4 0

3 years ago

In circle H, HJ¯¯¯¯¯ is a radius and JK¯¯¯¯¯ is a tangent segment. Which statement must be true?

Archy [21]

The correct answer is D) ∠HJK is a right angle.

The representation of this problem is shown in the figure below. The segment that goes from the center of a circle to a point of it is the radius. For each point this segment strikes radially the circle, so given that in this very point there is a tangent segment, then the conclusion is that ∠HJK must be a right angle.<span />

7 0

4 years ago