Confidence Intervals 1. At the beginning of the Spring 2019 semester a representative sample of 501 Statistics undergraduate students were surveyed and asked if they.' owned a dog. The sample proportion was 0.559. The standard error is 0.022. Use this information to construct a 95% condence interval for the proportion of all statistics undergraduate students who own a dog. 2. A random sample of 50 students at one school was obtained and each selected student was given an IQ test. These data were used to construct a 95% confidence interval of [516.656, 106.422]. Research question: Is there evidence that the mean IQ score at this school is different from the known national average of 100