Share
Explore BrainMass

Hypothesis Testing for Evidence

Suppose that in January 1999 it was reported that 58 percent of Americans rated the condition of the economy to be ``fairly good.'' In a Gannett News Service poll of 1003 Americans taken October 15--20, 1999, and reported in the October 31, 1999, issue of the Cincinnati Enquirer, 62 percent of those polled rated the condition of the economy to be "fairly good.'' (source: C. Raasch, "At 2000, Americans Guardedly Optimistic," Gannett News Service)

a)Set up and carry out a hypothesis test that attempts to provide evidence supporting the claim that the proportion of Americans rating the condition of the economy to be "fairly good'' in October 1999 is higher than the proportion of 58 percent in January 1999.

b)Use the sample results to determine how much evidence there is that the proportion of Americans rating the condition of the economy to be "fairly good'' in October 1999 is higher than the proportion of 58 percent in January 1999.

Solution Preview

a)
Step 1:
Null hypothesis:
H0:
The population proportion of Americans rating the condition of the economy to be "fairly good' in October 1999 is equal to the proportion of 58 percent in January 1999.

Alternate Hypothesis:
H1:
The population ...

Solution Summary

The solution examines hypothesis testing for evidence. The hypothesis test is used to provide evidence supporting the claim that the proportion of American rating the condition of the economy to be `fairly good`in October 1999 is higher than the proportion of 58 percent in January 1999.

$2.19