0 Question 15 v E 0/2 pts '0 3 8 99 G) Details Many investors and nancial 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 nancial 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 71 stocks traded on the NYSE that day showed that '15 went up. You are conducting a study to see if the proportion of stocks that went up is signicantly less than 0.3. You use a signicance level of a : 0.01. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = l i What is the pvalue for this sample? (Report answer accurate to four decimal places.) p-value =' l The p-value is... 0 less than (or equal to) o: O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null 0 Question 14 v I3 0x2 pts '0 3 8 99 (D Details A wellknown brokerage rm executive claimed that 60% of investors are currently condent of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 100 people, 53% of them said they are condent of meeting their goals. Test the claim that the proportion of people who are condent is smaller than 60% at the 0.005 signicance level. The null and alternative hypothesis would be: 0.6 0.6 The test is: two-tailed left-tailed right-tailed O O O The test statistic is: l l (to 3 decimals) . ' The pvalue is: l l (to 4 decimals) 0 Question 13 v 8 0x2 pts '0 3 8 99 G) Details You wish to test the following claim (Ha) at a signicance level ofa : 0.01. Ho:p:U.3 Ha:p%0.3 You obtain a sample of size n : 251 in which there are 87 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? (Report answer accurate to three decimal places.) test statistic = l ' What is the p-yalue for this sample? (Report answer accurate to four decimal places.) p-value =' l The p-yalue is... 0 less than (or equal to) o: O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null . Question 12 0/2 pts 5 3 99 0 Details You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.72. You use a significance level of a = 0.001. Ho:p = 0.72 Hi : p E1 on pts '0 3 Z 99 (D Details You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximatelypii : 38 % . You would like to be 95% condent that your esimate is within 1.5% of the true population proportion. How large of a sample size is required? Do not round mid-calculation. However, use a critical value accurate to three decimal places. . Question 10 0/2 pts 5 3 99 0 Details Express the confidence interval 70.9% 0/2 pts 5 3 99 8 Details Express the confidence interval (22.3 % , 30.1 % ) in the form of p + ME. %