Suppose that you take a random sample of 10,000 Americans and find that 1,111 ar

Question

Suppose that you take a random sample of 10,000 Americans and find that 1,111 are left- handed. You perform a test of significance to assess whether the sample data provide evidence that more than 10% of all Americans are left-handed, and you calculate a test statistic of 3.70 and a p-value of .0001. Furthermore, you calculate a 99% confidence interval for the proportion of left-handers in America to be (.103,.119). Consider the following statements: The sample provides strong evidence that more than 10% of all Americans are left-handed. The sample provides evidence that the proportion of left-handers in America is much larger than 10%. Which of these two statements is the more appropriate conclusion to draw? Explain your answer based on the results of the significance test and confidence interval.

Explanation / Answer

Consider the following statements:

The sample provides strong evidence that more than 10% of all Americans are left-handed. [ANSWER, MORE APPROPRIATE]

************************

We do not use "much larger" because the lower bound of the confidence interval actually is close to 0.1 (actually, even the upper bound).

As the P value is 0.0001, very small, then this is a strong evidence.

Thus, this is the more appropriate of the two.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.