In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a

The circumference of a pizza is 56.52 in. One-fourth of the pizza has been eaten the area of the remaining pizza in sq. Inches r

BabaBlast [244]

Circumference = πD
πD = 56.52
D = 17.99 in

Area of the pizza = π (17.99 ÷ 2)² = 254.19 in²

Area of the pizza eaten = 254.19 ÷ 4 = 63.55 in²

Area of the pizza remain = 254.19 - 63.55 = 190.64 in²

Answer: 190.64 in²

4 0

3 years ago

Find the value of b. Enter as an exact, simplified value:

Zanzabum

Answer: 3sqrt6

Step-by-step explanation:

6 0

2 years ago

Find the exact value of x

Ket [755]

<span>What does lol, idk, and ttyl mean? I am serious Answer me and I will answer you
:D please

</span>

3 0

3 years ago

Do teachers find their work rewarding and satisfying? An article reports the results of a survey of 397 elementary school teache

Tju [1.3M]

Answer:

The 95% confidence interval would be given (0.0109;0.1651).

We are confident at 95% that the difference between the two proportions is between $0.0109 \leq p_{elementary} -p_{High school} \leq 0.1651$

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p_A$ represent the real population proportion for elementary school

$\hat p_A =\frac{226}{397}=0.569$ represent the estimated proportion for elementary school

$n_A=397$ is the sample size required for Brand A

$p_B$ represent the real population proportion for high school teachers

$\hat p_B =\frac{129}{268}=0.481$ represent the estimated proportion for high school teachers

$n_B=268$ is the sample size required for Brand B

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.