4. In an opinion poll, 25% of a random sample of 200 people said that they were strongly opposed to having a state lottery. What is the standard error of the sample proportion? (Hint: think about the formula of standard error in confidence interval) A. 0.03 B. 0.25 C. 0.0094 D. 6.12 5. The 99.7% confidence interval for the mean length of froy jumps is (12.64 cm, 14.44 em). Which of the following statements is a correct interpretation of 99.7% confidence. A. Of the total number of frogs in your area of the country, 99.7% can jump between 12.64 cm and 14-44 cm. B. There's a 99.7% chance that the mean length of frog jumps falls between 12.64cm and 14.44 cm. C. If we were to repeat this sampling many times, 99.7% of the confidence intervals we could construct would contain the true population mean. D. 99.7% of the confidence intervals we could construct after repeated sampling would go from 12.64 cm to 14.14 cm