Math / Data & Statistics

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Working at home: According to the U.S. Census Bureau, $33 \%$ of men who worked at home were college graduates. In a sample of 474 women who worked at home, 155 were college graduates.
Part: 0 / 3
Part 1 of 3 (a) Find a point estimate for the proportion of college graduates among women who work at home. Round the answer to at least three decimal places.
The point estimate for the proportion of college graduates among women who work at home is $\square$ .

Studdy Solution

STEP 1

What is this asking? Out of a group of women working from home, what percentage of them graduated college? Watch out! Don't mix up the information about men with the information about women!

STEP 2

1. Calculate the point estimate.

STEP 3

Alright, future mathematicians!
We're diving into the world of proportions!
We're given that 155 out of 474 women working from home are college graduates.
We want to find the proportion, which is just a fancy word for a percentage written as a decimal.

STEP 4

To find this magical proportion, we simply divide the number of college graduates by the total number of women.
Think of it like this: what fraction of the women graduated college?

STEP 5

So, our calculation looks like this: $\frac{\textbf{Number of college graduates}}{\textbf{Total number of women}} = \frac{155}{474}$

STEP 6

Now, let's crunch those numbers!
Dividing 155 by 474 gives us approximately 0.327.
Remember, we're asked to round to at least three decimal places.

STEP 7

So, our point estimate is 0.327.
This tells us that approximately 32.7% of the women working from home in our sample are college graduates.
Boom!

STEP 8

The point estimate for the proportion of college graduates among women who work at home is 0.327.

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Studdy Solution

STEP 1

What is this asking? Out of a group of women working from home, what percentage of them graduated college? Watch out! Don't mix up the information about men with the information about women!

STEP 2

1. Calculate the point estimate.

STEP 3

Alright, future mathematicians!
We're diving into the world of proportions!
We're given that 155 out of 474 women working from home are college graduates.
We want to find the proportion, which is just a fancy word for a percentage written as a decimal.

STEP 4

To find this magical proportion, we simply divide the number of college graduates by the total number of women.
Think of it like this: what fraction of the women graduated college?

STEP 5

So, our calculation looks like this: $\frac{\textbf{Number of college graduates}}{\textbf{Total number of women}} = \frac{155}{474}$

STEP 6

Now, let's crunch those numbers!
Dividing 155 by 474 gives us approximately 0.327.
Remember, we're asked to round to at least three decimal places.

STEP 7

So, our point estimate is 0.327.
This tells us that approximately 32.7% of the women working from home in our sample are college graduates.
Boom!

STEP 8

The point estimate for the proportion of college graduates among women who work at home is 0.327.

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Studdy Solution

STEP 1

What is this asking? Out of a group of women working from home, what percentage of them graduated college? Watch out! Don't mix up the information about men with the information about women!

STEP 2

1. Calculate the point estimate.

STEP 3

Alright, future mathematicians!We're diving into the world of proportions!We're given that **155** out of **474** women working from home are college graduates.We want to find the *proportion*, which is just a fancy word for a percentage written as a decimal.

STEP 4

To find this **magical proportion**, we simply divide the **number of college graduates** by the **total number of women**.Think of it like this: what fraction of the women graduated college?

STEP 5

So, our calculation looks like this: Number of college graduatesTotal number of women=155474\frac{\textbf{Number of college graduates}}{\textbf{Total number of women}} = \frac{155}{474}Total number of womenNumber of college graduates​=474155​

STEP 6

Now, let's crunch those numbers!Dividing **155** by **474** gives us approximately **0.327**.Remember, we're asked to round to at least three decimal places.

STEP 7

So, our **point estimate** is **0.327**.This tells us that approximately **32.7%** of the women working from home in our sample are college graduates.Boom!

STEP 8

The point estimate for the proportion of college graduates among women who work at home is **0.327**.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Alright, future mathematicians!
We're diving into the world of proportions!
We're given that 155 out of 474 women working from home are college graduates.
We want to find the proportion, which is just a fancy word for a percentage written as a decimal.

To find this magical proportion, we simply divide the number of college graduates by the total number of women.
Think of it like this: what fraction of the women graduated college?

So, our calculation looks like this: $\frac{\textbf{Number of college graduates}}{\textbf{Total number of women}} = \frac{155}{474}$

Now, let's crunch those numbers!
Dividing 155 by 474 gives us approximately 0.327.
Remember, we're asked to round to at least three decimal places.

So, our point estimate is 0.327.
This tells us that approximately 32.7% of the women working from home in our sample are college graduates.
Boom!

The point estimate for the proportion of college graduates among women who work at home is 0.327.