How do I do this. I don’t understand how to put the numbers in that formula or whatever the heck it is.

(a) A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of 1200 regist

Sladkaya [172]

Answer:

n=9604

Step-by-step explanation:

1) Notation and definitions

$X=620$ number of people that would vote for the Republican candidate

$n=1200$ random sample taken

$\hat p=\frac{620}{1200}=0.517$ estimated proportion of people that would vote for the Republican candidate

$p$ true population proportion of people that would vote for the Republican candidate

Me= 0.01 represent th margin of error.

Confidence =0.95 or 95%

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".

The population proportion have the following distribution

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

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

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

And on this case we have that $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

The problem says that we need to use $\hat p =0.05$ , and replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.96})^2}=9604$

And rounded we have that n=9604

6 0

2 years ago

You buy a six pack of Gatorade for $9.00. What is the unit price or the price per bottle?

Viefleur [7K]

Answer:

Price per bottle is 1.5 or $1.50

Step-by-step explanation:

To get price per unit, you just divide the amount of money spent by the items purchased. 9/6 = 1.5

4 0

3 years ago

6x-5y=5<br> 3x+5y=4<br> The x-coordinate of the solution to this system of equation is

Anna35 [415]

Answer:

x=1

Step-by-step explanation:

1) 6x-5y=5

2) 3x+5y=4

ets perform the following operation

1) +2), This leads to the following equation:

6x+3x-5y+5y=5+4

From where we obtain the solution for x

9x=9

x=1

3 0

3 years ago

you ordered a laptop from a company in alaska. The laptop costs $150. they charge you 15% off the cost of the laptop to ship it.

monitta

Answer:

$127.5

Step-by-step explanation:

150*15%=22.5.

150-22.5=127.5

Don't buy this, totally not worth it.

8 0

2 years ago

Read 2 more answers

DOES ANYONE KNOW HOW TO DO THIS????????

Harrizon [31]

1. r closest to 1: Figure 4

2. Least signs of linear relationship: Figure 1

3. r equal to -1: Figure 3

Step-by-step explanation:

Correlation is the link between two things or variables.

The scatter plots can be used to determine the correlation values for given sets of data.

If both values are increasing, then the correlation is positive

If one value is increasing and the other is decreasing then the correlation is negative

So,

In the given pictures

Figure 4 has the correlation coefficient closest to 1 as both values are increasing but the data points are not in a straight line so r will be close to 1.

Figure 3 has the correlation coefficient equal to one as one value is increasing and the other is decreasing. And the points are in a straight line so r will be equal to one.

As the data points in Figure 1 are more scattered so there will be no relationship between two quantities.

So, the answers are as follows

1. r closest to 1: Figure 4

2. Least signs of linear relationship: Figure 1

3. r equal to -1: Figure 3

Keywords: Correlation, Data set

Learn more about correlation at:

#LearnwithBrainly

4 0

3 years ago