In a nationwide poll done in 2009, the proportion of respondents who thought that it should be illegal to use a handheld cellular telephone while driving a car was 0.78 (78%). The poll's sample size was 900. USE SALT (a) Find the value of the standard error of the sample proportion. (Round your answer to six decimal places.) (b) Find a 95% confidence interval estimate of the population proportion who think that places.) to (c) Find a 98% confidence interval estimate of the population proportion who think that places.) to should be illegal to use a handheld cellular telephone while driving. (Round your answers to three decimal should be illegal to use a handheld cellular telephone while driving. (Round your answers to three decimal (d) Which of the intervals calculated in parts (b) and (c) is wider-the interval with 95% confidence or the interval with 98% confidence? O The 95% confidence interval is wider. O The 98% confidence interval is wider.

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**Poll Analysis on Handheld Cellular Phone Use While Driving**

In a nationwide poll conducted in 2009, 78% (0.78) of respondents believed it should be illegal to use a handheld cellular telephone while driving a car. The poll's sample size was 900.

---

### Statistical Analysis Tasks

**(a)** Calculate the standard error of the sample proportion. (Round your answer to six decimal places.)

**(b)** Determine a 95% confidence interval estimate of the population proportion regarding the illegality of using a handheld cellular telephone while driving. (Round your answers to three decimal places.)

\[ \_\_\_\_\_\_\_\ to \_\_\_\_\_\_\_\ \]

**(c)** Determine a 98% confidence interval estimate of the population proportion on the same subject. (Round your answers to three decimal places.)

\[ \_\_\_\_\_\_\_\ to \_\_\_\_\_\_\_\ \]

**(d)** Compare the intervals calculated in parts (b) and (c). Which interval is wider—the 95% confidence interval or the 98% confidence interval?

- ○ The 95% confidence interval is wider.
- ○ The 98% confidence interval is wider.

---

**Note**: An orange button labeled "USE SALT" is present, indicating the use of a statistical learning tool for calculations.
Transcribed Image Text:**Poll Analysis on Handheld Cellular Phone Use While Driving** In a nationwide poll conducted in 2009, 78% (0.78) of respondents believed it should be illegal to use a handheld cellular telephone while driving a car. The poll's sample size was 900. --- ### Statistical Analysis Tasks **(a)** Calculate the standard error of the sample proportion. (Round your answer to six decimal places.) **(b)** Determine a 95% confidence interval estimate of the population proportion regarding the illegality of using a handheld cellular telephone while driving. (Round your answers to three decimal places.) \[ \_\_\_\_\_\_\_\ to \_\_\_\_\_\_\_\ \] **(c)** Determine a 98% confidence interval estimate of the population proportion on the same subject. (Round your answers to three decimal places.) \[ \_\_\_\_\_\_\_\ to \_\_\_\_\_\_\_\ \] **(d)** Compare the intervals calculated in parts (b) and (c). Which interval is wider—the 95% confidence interval or the 98% confidence interval? - ○ The 95% confidence interval is wider. - ○ The 98% confidence interval is wider. --- **Note**: An orange button labeled "USE SALT" is present, indicating the use of a statistical learning tool for calculations.
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