Mathematics: The proportion of items in a population that possess a specific attribute is known to be 0.45. a. if a simple random sample of size nequals100 is selected and the proportion of items in the sample that contain the attribute of interest is 0.48, what is the sampling error?

The proportion of items in a population that possess

jetblackcap

09.01.2022

0.05

Step-by-step explanation:

Sampling error is the error occurs by considering sample for study instead of entire population.

Given : The proportion of items in a population that possess a specific attribute is known to be 0.45.

Sample size : n= 100

Sample proportion of items in a population that possess a specific attribute : $\hat{p}=0.48$

Now, the formula to find the sampling error :

$\text{Sampling error} =\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$\text{Sampling error} =\sqrt{\dfrac{0.48(1-0.48)}{100}}$

$=\sqrt{\dfrac{0.48(0.52)}{100}}\\\\=\sqrt{0.002496}\approx0.05$

Hence, the sampling error =0.05

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seider8952

18.05.2021

0.2 times

Step-by-step explanation:

Saturn: 8.867 × 108 = 957.636

Uranus: 1.787 × 109 = 194.783

You take (Uranus: 194.783)

& you divide it by (Saturn: 957.636)

You should get a funky number like 0.203399830415732 but since they said approximately you only need to use the first 2 (don't forget to round)

That would make Uranus 0.2 times as far from the sun

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