College

According to historical data, it is believed that 12% of American adults work more than one job. To investigate if this claim is still accurate, a random sample of 100 American adults is selected, and it is discovered that 18 of them work more than one job. A researcher would like to know if the data provide convincing evidence that the true proportion of American adults who work more than one job differs from 12%.

Are the conditions for inference met?

A. Yes, the conditions for inference are met.
B. No, the 10% condition is not met.
C. No, the Large Counts Condition is not met.
D. No, the randomness condition is not met.

Answer :

The value of Z = 1.85 , p-value = 0.0322.

Both conditions are met.

Yes, the conditions for inference are met.

From the question, we have

n=100

x=18

p=0.12

q=1-p=0.88

p ˆ=x/n=18/100=0.18

p > 0.12

Therefore, The hypothesis are

H_o: p= 0.12

H_a: p > 0.12 which is right tailed

The test statistic is,

Z=(p ˆ-p)/√(pq/n)

=(0.18-0.12)/√((0.12*0.88)/100)

=1.85

Let P-value=P(Z>1.85) Due to right tailed test

=0.322 from Z-table

Hence, Z = 1.85 , p-value = 0.0322.

Consider,

np = 100*0.12 = 12 > 5

nq = 100*0.88 = 88 > 5

Hence, Both conditions are met.

Yes, the conditions for inference are met.

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

To learn more about multiplication visit: https://brainly.com/question/5992872

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