Suppose that a city planning commission wants to know the proportion of city residents who support installing streetlights in the downtown area. Two different people independently selected random samples of city residents and used their sample data to construct the following confidence intervals for the following population proportion. Interval 1: (0.29, 0.35) Interval 2: (0.32, 0:34) (Hint: Consider the formula for the confidence Interval given on page 444.) (a) Explain how it is possible that the two confidence intervals are not centered in the same place. The two samples have different margins of error. The two samples have different sample proportions. The two samples have different sizes. The two samples were taken from different populations. Different confidence levels were used for the two intervals. (b) Which of the two intervals conveys more precise information about the value of the population proportion? Interval 1 O Interval 2 (c) If both confidence intervals have a the same confidence level, which confidence Interval was based on the smaller sample size? Interval 1 Interval 2 How can you tell? A smaller sample size produces a --Select-- O margin of error. (d) If both confidence intervals were based on the same sample size, which interval has the higher confidence level? O Interval 1 Interval 2 How can you tell? The z critical value for higher confidence is -Select- @ , resulting in a -Select- @ confidence interval