In a study to compare the vision of teenage boys and girls, a 95% confidence int

Question

In a study to compare the vision of teenage boys and girls, a 95% confidence interval for the difference, the proportion of teenage boys needing corrective lenses minus the proportion teenage girls needing corrective lenses, is (0.052, 0.734). In testing whether teenage boys are more likely to need corrective lenses than teenage girls: a. Define the appropriate parameter(s) and state the hypotheses. b. If the confidence level is increased the value of the statistic will A) decrease B) remain the sane C) increase D) either increase or decrease

Explanation / Answer

It seems you have already answered the questions, anyway below are the answers.

(a)

Parameters in hypothesis testing are population limits used in testing the hypothesis:

Here we have proportion of teenage boys (PB) and girls (PG) who need corrective lenses.

Below are the hypothesis:

Null Hypothesis H0 = PB = PG   - That is proportion of boys needing corrective lenses is not different than that of the girls.

Alternate hypothesis HA = PB > PG - That is proportion of boys needing corrective lenses is greater than that of the girls.

(b)

If the confidence level is increased the margin of error is also increased which would mean the same statistic will be more susceptible to give incorrect results hence the value of the statistic decreases.

The answer is (A)

Hope this helps. Good luck

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