The actual proportion of voters who plan to vote for a particular proposition in the next election is 70%, but LaShandra does not know this. LaShandra has been hired by the election campaign to conduct a sample survey to estimate the proportion of voters who will vote for the proposition. LaShandra decides to take a random sample of size 121 from all eligible voters. 31. Draw a picture of the sampling distribution of p-hat. Give a mathematical expression for the mean of your distribution as well as the number. Also label the x-axis on your picture. Upload a photo or scan of your picture, or else create an electronic file and upload the file.

0.0417

Step-by-step explanation:

Given the following;

p = 0.7, n=121

The sampling distribution of sample proportion will be approximately normal with mean

\mu_{\hat{p}}=p=0.7

and standard deviation

\sigma_{\hat{p}}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.7\cdot 0.2}{121}}=0.0417

Check attachment for the curve diagram.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.