The previous example was: 5.3.1 Researchers investigated whether the proportion

Question

The previous example was:

5.3.1 Researchers investigated whether the proportion

of American teenagers with some level of hearing loss was

diff erent in 2005–2006 than in 1988–1994. Th ey collected

data on random samples of American teenagers in those two

time periods. Let the symbol 05-06 denote the population

proportion of American teenagers with some level of hearing

loss in 2005–2006 and similarly for 88-94. A 95% confi -

dence interval for the parameter 05-06 88-94 turns out to

be (0.0015, 0.0467). Which of the following is an appropriate

conclusion to draw?

5.3.4 Reconsider the previous exercise. If a 99% confi- dence interval had instead been produced from the same sample data for the parameter 05-06- 88-94, what would the midpoint of this confidence interval be? If the midpoint can be calculated, find it. If the midpoint cannot be calculated using only the information given, explain why not.

Explanation / Answer

midpoint of confidence interval remain same at all confidence level

hence

mid-point at 99% = mid-point at 95% = (0.0015 + 0.0467)/2 = 0.0241

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