In Pennsylvania and North Carolina, we have several polls, so I use the Pollster.com averages. In Indiana, West Virginia, and Kentucky, I use the most recent poll in each state. Based on these polls, Hillary Clinton would pick up about 230 delegates through the May 20th primaries compared to 194 for Barack Obama (with 52 delegates in Oregon listed as "unclear" because there is no recent survey data available).
On Monday, I used the Obama campaign's delegate predictions to estimate that he would clinch a majority of pledged delegates on May 20th. The poll-based delegate predictions lead to a similar conclusion. If you assume the delegate allocations predicted above from the state-by-state surveys, and then split Oregon's delegates evenly (since we have no polling data on the state), then on May 20th, Obama would have 1,637 pledged delegates, 10 more than he needs to clinch a majority of pledged delegates (I am assuming Obama will win 2 of Guam's 4 delegates on May 4th).
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