Question

Let p be the population proportion for the following condition. Find the point estimates for p and q.

In a survey of

18461846

adults from country​ A,

391391

said that they were not confident that the food they eat in country A is safe.

The point estimate for​ p,

ModifyingAbove p with caretp​,

is

nothing.

​(Round to three decimal places as​ needed.)

Answer 1

The problem is related to the concept of point estimate for the population proportion.

The point estimate for the population proportion of successes is given by the proportion of successes in a sample.

The point estimate for the population proportion of failures is given by the proportion of failures in a sample.

Fundamentals

The point estimate for the number of success is,

The point estimate for the number of failure is,

Here,

The number of success in the sample.

Number in the sample

Point estimate for the number of failures.

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FIRST STEP | ALL STEPS | ANSWER ONLY

From the information, the values are given as follows:

X= 391391

n = 18461846

The point estimate of is,

p = x/n

= 391391 / 18461846

=0.021199

The point estimate of is,  0.021199

Explanation | Hint for next step

Substitute the values of in the formula of point estimate, and then the point estimate of is 0.021199.

From the information, the values are given as follows:

The point estimate of is,

q = 1-p

= 1 - 0.021199

= 0.9788

The point estimate of is, 0.9788