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[Solution] According to the U.S Census Bureau, 22.3 percent of the Spanish- surnamed population in the United States have one of these surnames: Garcia,

Question: According to the U.S Census Bureau, 22.3 percent of the Spanish- surnamed population in the United States have one of these surnames: Garcia, Martinez, Rodriguez, Lopez, Hernandez, Gonzalez, Perez, Sanchez, Rivera, Ramirez, Torres, Gonzales. Suppose you take a random sample of 500 Spanish-surnamed people in the United States.

  1. Make an accurate sketch of the sampling distribution of the proportion of people in your sample who have one of these surnames.
  2. What is the probability of getting 20% or fewer with one of these surnames in your sample?
  3. What is the probability of getting 105 or more people with one of these surnames?
  4. What proportions of people with one of these surnames would be rare events (not reasonably likely?)

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