1. You wish to test the following claim (HaHa) at a significance level of =0.002 Ho : = 74.2 Ha : > 74.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=13 with mean M=93.1 and a standard deviation of SD=16.2 What is the p-value for this sample? (four decimal places.) p-value =

2. You wish to test the following claim (HaHa) at a significance level of =0.02 Ho :=89.3 Ha :<89.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=21 with the mean M=87.5 and a standard deviation of SD=8.4. What is the test statistic for this sample? (three decimal places.) test statistic = What is the p-value for this sample? (four decimal places.) p-value =

3. You wish to test the following claim (HaHa) at a significance level of =0.01 Ho :=87.4 Ha :<87.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=113 with mean M=84.2 and a standard deviation of SD=14.8S What is the test statistic for this sample? (three decimal places.) test statistic = What is the p-value for this sample? (four decimal places.) p-value =

4. Based on a sample of 55 people, the sample mean GPA was 2.07 with a standard deviation of 0.05 The p-value is:

5. You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly different from 0.56. You use a significance level of =0.005 H0:p=0.56 H1:p0.56 You obtain a sample of size n=592 in which there are 357 successes.

What is the p-value for this sample? (four decimal places.) p-value =

6. You wish to test the following claim (HaHa) at a significance level of =0.002 Ho:=79.2 Ha:79.2 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=17 with mean M=85.9 and a standard deviation of SD=13.8. What is the p-value for this sample? (four decimal places.) p-value =

7. You wish to test the following claim (HaHa) at a significance level of =0.002. Ho:p=0.11 Ha:p0.11 You obtain a sample of size n=735 in which there are 108 successful observations. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the test statistic for this sample? (three decimal places.) test statistic = What is the p-value for this sample? (four decimal places.) p-value =

8. A well-known brokerage firm executive claimed that 50% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 800 people, 42% of them said they are confident of meeting their goals. Test the claim that the proportion of people who are confident is smaller than 50% at the 0.005 significance level. The null and alternative hypothesis would be:

The test statistic is:

The p-value is:

9. Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst claims we can assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day. A sample of 58 stocks traded on the NYSE that day showed that 25 went up. You are conducting a study to see if the proportion of stocks that went up is significantly more than 0.3. You use a significance level of =0.01 What is the test statistic for this sample? (three decimal places.) test statistic = What is the p-value for this sample? (four decimal places.)

p-value =