Which expression has a value of −24?

A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true

zloy xaker [14]

Answer:

The probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

As the sample size is large, i.e. <em>n</em> = 492 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by the normal distribution.

The mean and standard deviation of the sampling distribution of sample proportion are:

$\mu_{\hat p}=p=0.07\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.07(1-0.07)}{492}}=0.012$

Compute the probability that the sample proportion will differ from the population proportion by greater than 0.03 as follows:

$P(|\hat p-p|>0.03)=P(|\frac{\hat p-p}{\sigma_{\hat p}}|>\frac{0.03}{0.012})$

$=P(|Z|>2.61)\\\\=1-P(|Z|\leq 2.61)\\\\=1-P(-2.61\leq Z\leq 2.61)\\\\=1-[P(Z\leq 2.61)-P(Z\leq -2.61)]\\\\=1-0.9955+0.0045\\\\=0.0090$

Thus, the probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.

5 0

3 years ago

What is the name of the tool to the right that was used to measure the volume of the water and the rock?

zavuch27 [327]

Graduated cylinder:):)

5 0

3 years ago

In November, the cafeteria sold 353 popsicles. In December, it sold 196 more Popsicle than September. How many popsicles did the

Ivenika [448]

Answer:

549

Step-by-step explanation:

353 + 196=549

8 0

2 years ago

58% of what is 63.4?

lesya [120]

109.31

To find this you can convert 58% to decimal form, which is .58. Once you have a decimal form of a percent, you can multiply it by the number you are taking the percent of and get an answer. So .58 times something equals 63.4. You can write this as an equation:

.58x = 63.4

and solve for x, which would get 63.4/.58, which equals 109.31.

8 0

3 years ago

Find the circumference of c round to the nearest hundredth

Ierofanga [76]

Answer:

Sorry sorry sorry sorry!! Please forgive me! I need this to pass a very important exam!! Sorry again!! Ily!!

Step-by-step explanation:

3 0

2 years ago