Suppose that you take a random sample of 10000 Americans and

Suppose that you take a random sample of 10,000 Americans and find 1,111 are left-handed. You perform a test of significance to assess whether the sample data provide evidnece that more than 10% of all Americans are left handed, and you calculate a test statistic of 3.70 and a p-value of 0.0001. Furthermore, you calculated a 99% confidence interval for the proportion of left-handers in America to be (.103, 0.119). 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 American is much larger than 10%. Which one 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.

Solution

The sample provides strong evidence that more than 10% of all Americans are left handed.

this statement is more appropriate because in the other statement the proportion has been talked of and proportion is always comes in ratio and used for comparisons, as there are not only 10000 people there so to talk about proportion based on the result is not appropriate.

the confidence test and the static test clearly shows that the number of left handers are more than 10%