Question

Fay read an article that said 26%, percent of Americans can speak more than one language. She wants to test if this figure is higher in the city she lives, so she plans on taking a sample of people to see what proportion of them speak more than one language.

Let p represent the proportion of people in Fay's city that speak more than one language.
Which of the following is an appropriate set of hypotheses for her significance test?

Answer 1

Answer:4

Explanation:

4

Answer 2

The appropriate set of hypotheses for Fay's significance test is:

Null Hypothesis: p = 0.26 (the proportion of people in Fay's city who can speak more than one language is the same as the national average)

Alternative Hypothesis: p > 0.26 (the proportion of people in Fay's city who can speak more than one language is higher than the national average)

In other words, Fay is testing if the proportion of people in her city who speak more than one language is significantly different from the national average of 26%. The null hypothesis assumes that the proportion is the same as the national average, while the alternative hypothesis assumes that it is higher.

To conduct her significance test, Fay would need to collect a random sample of people from her city and determine how many of them speak more than one language. Based on this sample proportion, she can calculate a test statistic and determine if it is significantly different from what would be expected under the null hypothesis. If the test statistic is sufficiently large, she can reject the null hypothesis and conclude that the proportion of people in her city who speak more than one language is higher than the national average.

Explanation: