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6.3 Q9 A researcher wishes toestimate, with 95% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her

6.3

Q9

A researcher wishes toestimate, with 95% confidence, the population proportion of adults who think Congress is doing a good or excellent job. Her estimate must be accurate within 1% of the true proportion.

(a) No preliminary estimate is available. Find the minimum sample size needed.

(b) Find the minimum sample sizeneeded, using a prior study that found that 18% of the respondents said they think Congress is doing a good or excellent job.

(c) Compare the results from parts(a) and(b).

Q10

A researcher wishes toestimate, with 95% confidence, the population proportion of adults who support labeling legislation for genetically modified organisms(GMOs). Her estimate must be accurate within 4% of the true proportion.

(a) No preliminary estimate is available. Find the minimum sample size needed.

(b) Find the minimum sample sizeneeded, using a prior study that found that 79% of the respondents said they support labeling legislation for GMOs.

(c) Compare the results from parts(a) and(b).

Q13

Translate the statement into a confidence interval. Approximate the level of confidence.

In a survey of 1021 adults in acountry, 78% said being able to speak the language is at the core of national identity. Thesurvey's margin of error is 3.9%.

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