-1/3 - (-5/12)

Plsss help im timed

Exact form is 1/12 decimal form is 0.083

Step-by-step explanation:

a. The sampling distribution of the sample proportion

b. Left skewed

c. Standard Error (S.E) = 0.0739

d. Decrease

Step-by-step explanation:

a. Given x = 12, n = 13 and p = 12/13

The distribution of sample proportion is called the sampling distribution of the sample proportion.

b. The given sample proportion is 12 out of 13. If this is a typical sample proportion, then most sample proportions will lie about 12, but there could be a few unusually low sample proportions and thus the distribution could be skewed left.

c. The variability of the sampling distribution of the sample proportion is measured by the standard error of the proportion which is the square root of the product of the proportion p and 1 - p divided by the sample size n.

S.E = √((p(1 - p))/n)

= √((12/13(1 - 12/13))/13)

= √((12/13 * 1/13)/13)

= 0.073905344867

= 0.0739

d. Given n = 25, as the sample size increases, the standard error of the proportion will decrease and the variability in the sample proportion will decrease too.