According to the U.S. Census Bureau, 22.3 percent of the Spanish-surnamed popula

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. [Source: David L. Word and R. Colby Perkins Jt., Building a Spanish Surname List for the 1990's - A New Approach to an old Problem, Technical Working Paper no. 13, March 1996.] a. Suppose you take a random sample of 100 Spanish-surname people. Describe the shape, find the center and spread of the sampling distribution of the proportion of people in your sample with one of the given surnames. The shape is The center The spread (round to four decimal places) b. With a sample of size 100, will the probability of getting 20% or fewer with one of the given surnames ne larger or smaller than the probability you computed with sample size 500? The probability of getting 20% or fewer in the sample will be with a sample size of 100

Explanation / Answer

here center of sampling distribution of proportion =p=0.223

n=100

and spread =(p(1-p)/n)1/2 =0.0416

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