Math / Data & Statistics

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Smart phone: Among 240 cell phone owners aged 18-24 surveyed, 108 said their phone was an Android phone. Perform the following.
Part: $0 / 3$
Part 1 of 3 (a) Find a point estimate for the proportion of cell phone owners aged 18-24 who have an Android phone. Round the answer to at least three decimal places.
The point estimate for the proportion of cell phone owners aged 18 - 24 who have an Android phone is $\square$ . Skip Part Check Save For Later Submit Assi - 2024 MaGraw Hill LLC. All Righis Resenced, Terms of Use 1 Pinasy Center

Studdy Solution

STEP 1

What is this asking? Out of 240 young cell phone owners, 108 have Android phones.
What's the best guess for the percentage of young people with Android phones? Watch out! Don't mix up the number of people surveyed with the number who have Android phones!

STEP 2

1. Calculate the proportion.

STEP 3

We want to find the proportion of Android phone owners among the total number of cell phone owners surveyed.
We're basically figuring out what fraction of the whole pie is Android!

STEP 4

We have $\frac{108}{240}$ Android phone owners out of a total of 240 cell phone owners.
Let's divide: $\frac{108}{240} = \frac{54}{120} = \frac{27}{60} = \frac{9}{20}$ We simplified the fraction by dividing both the numerator and the denominator by 2 repeatedly, and then by 3.
This makes the fraction easier to work with!

STEP 5

Now, let's convert this fraction to a decimal by dividing the numerator (9) by the denominator (20): $\frac{9}{20} = \frac{9 \cdot 5}{20 \cdot 5} = \frac{45}{100} = 0.45$ We multiplied both the numerator and the denominator by 5 to get a denominator of 100, which makes it super easy to convert to a decimal!

STEP 6

The problem asks for at least three decimal places.
Our result, 0.45, can be written as 0.450.
We just added a zero at the end, which doesn't change the value!

STEP 7

The point estimate for the proportion of cell phone owners aged 18-24 who have an Android phone is 0.450.

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Studdy Solution

STEP 1

What is this asking? Out of 240 young cell phone owners, 108 have Android phones.
What's the best guess for the percentage of young people with Android phones? Watch out! Don't mix up the number of people surveyed with the number who have Android phones!

STEP 2

1. Calculate the proportion.

STEP 3

We want to find the proportion of Android phone owners among the total number of cell phone owners surveyed.
We're basically figuring out what fraction of the whole pie is Android!

STEP 4

STEP 5

STEP 6

The problem asks for at least three decimal places.
Our result, 0.45, can be written as 0.450.
We just added a zero at the end, which doesn't change the value!

STEP 7

The point estimate for the proportion of cell phone owners aged 18-24 who have an Android phone is 0.450.

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Studdy Solution

STEP 1

What is this asking? Out of 240 young cell phone owners, 108 have Android phones.What's the best guess for the percentage of young people with Android phones? Watch out! Don't mix up the number of people surveyed with the number who have Android phones!

STEP 2

1. Calculate the proportion.

STEP 3

We want to find the **proportion** of Android phone owners among the **total** number of cell phone owners surveyed.We're basically figuring out what fraction of the whole pie is Android!

STEP 4

STEP 5

STEP 6

The problem asks for at least three decimal places.Our result, **0.45**, can be written as **0.450**.We just added a zero at the end, which doesn't change the value!

STEP 7

The point estimate for the proportion of cell phone owners aged 18-24 who have an Android phone is **0.450**.

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.

What is this asking? Out of 240 young cell phone owners, 108 have Android phones.
What's the best guess for the percentage of young people with Android phones? Watch out! Don't mix up the number of people surveyed with the number who have Android phones!

We want to find the proportion of Android phone owners among the total number of cell phone owners surveyed.
We're basically figuring out what fraction of the whole pie is Android!

The problem asks for at least three decimal places.
Our result, 0.45, can be written as 0.450.
We just added a zero at the end, which doesn't change the value!

The point estimate for the proportion of cell phone owners aged 18-24 who have an Android phone is 0.450.