QUESTION 1

In a random survey of 1000 people in the United States, 790 said that they prepare and file their income taxes before April 15th. Letpbe the true proportion of people in the United States prepare and file their income taxes before April 15th. One wants to test the following hypotheses

Ho: p=0.75 vs Ha: p>0.75.

The standardized test statistics is about:

• -2.92
• 3.11
• 2.50
• -3.11
• 2.92

QUESTION 2

In the test of hypothesisHo :=100 vsHa :100. A sample of size 200 yields the standard test statisticz=2.00. The P-value for this test is closest to:

• 0.9772
• 1
• 0.0228
• 1.9544
• 0.0456

QUESTION 3

In a random sample of 200 adults, 110 say they are in favor of outlawing cigarettes in certain areas. Letp be the proportion of all adults who are in favor of outlawing cigarettes. One is interested for the following hypotheses:

Ho:p=0.6vsHa: p<0.6

Find the rejection region with significance level .01.

• (2.575,)
• (2.33,)
• (,2.575)
• (,2.33)
• (,2.33)

QUESTION 4

In the test of hypothesisHo :=100 vsHa: 100, we already have theP-valuefor this test: P-value=0.025.

Which of the following (with the reason) will be correct with significance level at .01?

• RejectHo since the P-value is greater thanthe significance level .01.
• Fail to rejectHosince the P-value is less than .05.
• The information is not enough to make a decision.
• Fail to rejectHo since the P-value is greater than the significance level .01.
• RejectHosince the P-value is less than.05.