STAT HOMEWORK

1.

A large collection of one-digit random numbers should have about 50% odd and 50% even digits because ve of the ten digits are odd (1, 3, 5, 7, and 9) and five are even (0, 2, 4, 6, and 8). a. Find the proportion of odd-numbered digits in the following lines from a random number table. Count carefully. 2066918922 20723Ig 40167 50420 51296 b. Does the proportion found in part a represent 6 (the sample proportion) or p (the population proportion)? c. Find the error in this estimate, the difference between 6 and p (or B - p). a. The given random number table consists of 36.67 % odd-numbered digits. (Round to two decimal places as needed.) b. Does the proportion found in part a represent 6 (the sample proportion) or p (the population proportion)? y p(the sample proportion) p (the population proportion) c. Find the error in this estimate, the difference between B and p (or E - p). Error = El% (Round to two decimal places as needed.) In a 2008 survey, people were asked their opinions on astrology-whether it was very scientific, somewhat scientific, or not at all scientific. Of 1431 who responded, 75 said astrology was very scientific. a. Find the proportion of people in the survey who believe astrology is very scientific. b. Find a 95% confidence interval for the population proportion with this belief. c. Suppose a TV news anchor said that 5% of people in the general population think astrology is very scientific. Would you say that is plausible? Explain your answer. . . . . . a. The proportion of people in the survey who believe astrology is very scientific is 0.0524 . (Round to four decimal places as needed.) b. Construct the 95% confidence interval for the population proportion with the belief that astrology is very scientific. (Round to three decimal places as needed.)