Smartphone: Among 244 smartphone owners aged 18-24 surveyed, 106 said their phone was an Android phone. Part 1 of 3 (a) Find a point estimate for the proportion of smartphone 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 smartphone owners aged 18-24 who have an Android phone is 434 Alternate Answer: The point estimate for the proportion of smartphone owners aged 18-24 who have an Android phone is 0.434. Part: 1/3 Part 2 of 3 (b) Construct a 98% confidence interval for the proportion of smartphone owners aged 18-24 who have an Android phone. Round the answers to at least three decimal places. A 98% confidence interval for the proportion of smartphone owners aged 18-24 who have an Android phone is

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Smartphone Study**

Among 244 smartphone owners aged 18-24 surveyed, 106 said their phone was an Android phone.

### Part 1 of 3

**(a) Find a point estimate for the proportion of smartphone 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 smartphone owners aged 18-24 who have an Android phone is \( \frac{106}{244} \).

Alternate Answer:

The point estimate for the proportion of smartphone owners aged 18-24 who have an Android phone is 0.434.

### Part 2 of 3

**(b) Construct a 98% confidence interval for the proportion of smartphone owners aged 18-24 who have an Android phone. Round the answers to at least three decimal places.**

A 98% confidence interval for the proportion of smartphone owners aged 18-24 who have an Android phone is \( [ \text{lower bound} < p < \text{upper bound} ] \).

**Note:** The third part is not shown in the image.  

### Explanation for Educational Website:

This exercise is investigating the proportion of smartphone owners aged 18-24 who use Android phones. In Part 1, a point estimate is calculated by dividing the number of Android users by the total number of surveyed individuals. This point estimate is a sample proportion that gives a specific value of the population parameter based on the sample data.

In Part 2, construction of a confidence interval is requested. A confidence interval gives a range of plausible values for the population parameter. It also accounts for the error margin expected in the sample proportion, providing users a better understanding through the range rather than a single point estimate.

By following these steps, one can understand not just the point estimate, but also the precision of that estimate through the confidence interval.
Transcribed Image Text:**Smartphone Study** Among 244 smartphone owners aged 18-24 surveyed, 106 said their phone was an Android phone. ### Part 1 of 3 **(a) Find a point estimate for the proportion of smartphone 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 smartphone owners aged 18-24 who have an Android phone is \( \frac{106}{244} \). Alternate Answer: The point estimate for the proportion of smartphone owners aged 18-24 who have an Android phone is 0.434. ### Part 2 of 3 **(b) Construct a 98% confidence interval for the proportion of smartphone owners aged 18-24 who have an Android phone. Round the answers to at least three decimal places.** A 98% confidence interval for the proportion of smartphone owners aged 18-24 who have an Android phone is \( [ \text{lower bound} < p < \text{upper bound} ] \). **Note:** The third part is not shown in the image. ### Explanation for Educational Website: This exercise is investigating the proportion of smartphone owners aged 18-24 who use Android phones. In Part 1, a point estimate is calculated by dividing the number of Android users by the total number of surveyed individuals. This point estimate is a sample proportion that gives a specific value of the population parameter based on the sample data. In Part 2, construction of a confidence interval is requested. A confidence interval gives a range of plausible values for the population parameter. It also accounts for the error margin expected in the sample proportion, providing users a better understanding through the range rather than a single point estimate. By following these steps, one can understand not just the point estimate, but also the precision of that estimate through the confidence interval.
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