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Determine a range of values for each population proportion. Use a 95% confidence interval.

A survey of 200 adults reports that 78% believe in extraterrestrial life.


Sagot :

Final answer:

Explains point estimate, confidence level conclusion, and calculating a new confidence interval with 75% confidence in proportion estimates.


Explanation:

Point estimate: The point estimate for the proportion of adults believing in extraterrestrial life is 78%. The error bound at a 95% confidence level would be calculated using the formula: error bound = critical value * standard error.

Conclusion on belief proportion: With 95% confidence, we can infer that the proportion of American adults believing in extraterrestrial life is between the confidence interval ranges.

75% confidence interval: Using the provided point estimate (78%) and n = 1,000, you can calculate another confidence interval. However, reaching a conclusion about the belief proportion would require statistical testing at the new confidence level.


Learn more about Confidence Intervals for Population Proportions here:

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