Reading proficiency: An educator wants to construct a 99% confidence interval for the proportion of elementary school children in Colorado who are proficient in reading.SAT scores: The College Board reports that in 2018 the mean score on the math SAT was 527 and the population standard deviation was 0 :103. A random sample of 20 students who took the test in 2019 had a mean score of 549. Following is a dotplot of the 20 scores. 0 lOO 200 300 400 500 600 700 800 Part: 0/6 (a) Are the assumptions for a hypothesis test satisfied? No, the sample size is too small and the sample does not appear to come from a 0 population with an approximately normal distribution. )( f) Yes, the sample size is large enough to perform the test, whether or not the 0 population is normally distributed. Yes, the sample size is small, but we can see that the sample seems to come from a population with an approximately normal distribution. 0 Part 2 of 3 (b) Estimate the sample size needed if no estimate of p is available. A sample of elementary school children is needed to obtain a 99% confidence interval with a margin of error of 0.05. X