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Lesson 6 (Interpreting Interval Estimate of a Po... Exercises 1. Describe the sampling distribution of proportions. 2. What do you understand by the expression "p is an unbiased estimator of p"? 3. What is meant by the phrase "95% confidence interval for the population p"? A consumer watch group interviewed a random sample of 1000 consumers and asked them if they are optimistic about the economy or not. There were 612 who said Yes. Use a 95% confidence level to estimate the population proportions. 5. Estimate the interval for the population proportion from each of the following. Then interpret the results. 6. In a survey, 1000 Grade 7 students were asked if they read storybooks. There were 318 who said Yes. What proportion of the students does not read storybooks? Use 95% confidence interval to determine the population proportion p of all Grade 7 students who read storybooks. Does the data suggest a positive attitude toward reading? 7. A nutritionist wants to know the population proportion of Grade 1 learners who eat vegetables. Pegged at a confidence of 95%, a survey among 1200 respondents was conducted and 200 said that they eat vegetables. Interpret the data. 8. Who knows the game sipa? A Physical Education major sought to determine whether all Filipinos are familiar with this game. Among 1500 respondents, 358 knew the game. Use 95% confidence to estimate the population proportion p and q. Interpret the sample data. Lesson 7 (Confidence Level and Sample Size) 1. Find (-/2)3 given each of the following: a. 90% confidence, E = 0.01 b. 90% confidence, E = 0.02 C. 95% confidence, E = 0.15 d. 95% confidence, E = 0.08 e. 99% confidence, E = 0.05 2. Find the sample size for each of the following: a. 90% confidence, E - 0.08, p = 0.38 b. 95% confidence, E = 0.05, p =0.38 C. 95% confidence, E = 0.12, p = 0.38 d. 99% confidence, E = 0.20, p = 0.38 e. 99% confidence, E = 0.25, p = 0.38 3. What is the advantage of the sample size formula? 4. What is the effect of the level of confidence on the confidence interval