Is It Plausible That More Than 10% of Americans Believe

question 49

Multiple Choice

Is it plausible that more than 10% of Americans believe in aliens? A random sample of 2000 adult Americans were surveyed and 15% of them said that they believed in aliens. Find the 95% confidence interval for the proportion of Americans who believe in aliens then choose the correct interpretation. (Round to the nearest tenth of a percent)

• A)The population proportion of Americans who believe in aliens is between 15% +/- 1.6% with a confidence level of 95%.The interval is higher than 10% and therefore, it is
• Plausible that more than 10% of Americans believe in aliens.
• B)The population proportion of Americans who believe in aliens is between 15% +/- 1.6% with a confidence level of 95%.The interval includes 10% and therefore, it is plausible
• That at least 10% of Americans believe in aliens.
• C)The population proportion of Americans who believe in aliens is between 10% +/- 1.6% with a confidence level of 95%.The interval includes 10% and therefore, it is plausible that at least
• 10% of Americans believe in aliens.
• D)The population proportion of Americans who believe in aliens is between 15% +/- 0.8% with a confidence level of 95%.The interval does not include 10% and therefore, it is not plausible
• That at least 10% of Americans believe in aliens.

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Definitions:

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