Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=1004 and x = 575 who said "yes." Use a 90% confidence level. | Click the icon to view a table of z scores. ..... a) Find the best point estimate of the population proportion p. (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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This image displays a portion of the standard normal distribution table, often used in statistics to find the probability that a standard normal random variable is less than a given value. The table is organized with the z-scores in the leftmost column and probability values corresponding to the cumulative area under the curve for each z-score across subsequent columns.

### Breakdown of the Table:

- **Leftmost Column (z):** This column indicates the integer and first decimal place of the z-score.
  
- **Top Row (.00 to .06):** These columns represent the second decimal place of the z-score.

- **Table Values:** Each cell in the table contains the cumulative probability for the z-score calculated by combining the row and column z-values. For instance, to find the cumulative probability for a z-score of 0.05, locate the row for z = 0.0 and the column for .05. The intersection gives a probability of 0.5199.

### Example Usage:

To find the probability of z being less than or equal to 1.12:
1. Locate the row for z = 1.1.
2. Move to the column under .02.
3. The intersection, 0.8686, is the cumulative probability for z ≤ 1.12.

This table allows for quick lookup of z-scores and their corresponding cumulative probabilities, essential for statistical calculations involving normal distributions.
Transcribed Image Text:This image displays a portion of the standard normal distribution table, often used in statistics to find the probability that a standard normal random variable is less than a given value. The table is organized with the z-scores in the leftmost column and probability values corresponding to the cumulative area under the curve for each z-score across subsequent columns. ### Breakdown of the Table: - **Leftmost Column (z):** This column indicates the integer and first decimal place of the z-score. - **Top Row (.00 to .06):** These columns represent the second decimal place of the z-score. - **Table Values:** Each cell in the table contains the cumulative probability for the z-score calculated by combining the row and column z-values. For instance, to find the cumulative probability for a z-score of 0.05, locate the row for z = 0.0 and the column for .05. The intersection gives a probability of 0.5199. ### Example Usage: To find the probability of z being less than or equal to 1.12: 1. Locate the row for z = 1.1. 2. Move to the column under .02. 3. The intersection, 0.8686, is the cumulative probability for z ≤ 1.12. This table allows for quick lookup of z-scores and their corresponding cumulative probabilities, essential for statistical calculations involving normal distributions.
Use the sample data and confidence level given below to complete parts (a) through (d).

A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n = 1004 and x = 575 who said "yes." Use a 90% confidence level.

[Icon for a table of z scores]

a) Find the best point estimate of the population proportion p.

[Checkbox for input]

(Round to three decimal places as needed.)
Transcribed Image Text:Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n = 1004 and x = 575 who said "yes." Use a 90% confidence level. [Icon for a table of z scores] a) Find the best point estimate of the population proportion p. [Checkbox for input] (Round to three decimal places as needed.)
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