Question

1. Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 380 drivers and find that 303 claim to always buckle up. Construct a 87% confidence interval for the population proportion that claim to always buckle up.

2. You recently sent out a survey to determine if the percentage of adults who use social media has changed from 68%, which was the percentage of adults who used social media five years ago. Of the 2704 people who responded to survey, 1776 stated that they currently use social media.

a) Use the data from this survey to construct a 93% confidence interval estimate of the proportion of adults who use social media. Record the result below in the form of (#,#)(#,#). Round your final answer to four decimal places.

b) Can you conclude that the percentage of adults who use social media has changed? Explain.

• Yes, because the proportion of adults who used social media five years ago is inside of the confidence interval.
• Yes, because the proportion of adults who used social media five years ago is not inside the confidence interval.
• No, because the proportion of adults who used social media five years ago is inside the confidence interval.
• No, because the proportion of adults who used social media five years ago is not inside the confidence interval.

c) If it has changed, has it increased or decreased?

• The percentage increased.
• The percentage decreased.
• We cannot determine that the percentage has changed.

Answer 1

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