Question

In: Statistics and Probability

After years of rapid growth, illegal immigration into the United States has declined, perhaps owing to...

After years of rapid growth, illegal immigration into the United States has declined, perhaps owing to the recession and increased border enforcement by the United States (Los Angeles Times, September 1, 2010). While its share has declined, California still accounts for 23% of the nation’s estimated 11.1 million undocumented immigrants. [You may find it useful to reference the z table.]

a. In a sample of 50 illegal immigrants, what is the probability that more than 20% live in California? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

b. In a sample of 200 illegal immigrants, what is the probability that more than 20% live in California? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

c. Comment on the reason for the difference between the computed probabilities in parts a and b.

  • As the sample number increases, the probability of more than 20% also increases, due to the lower z value and decreased standard error.

  • As the sample number increases, the probability of more than 20% also increases, due to the lower z value and increased standard error.

Solutions

Expert Solution


Related Solutions

After years of rapid growth, illegal immigration into the United States has declined, perhaps owing to...
After years of rapid growth, illegal immigration into the United States has declined, perhaps owing to the recession and increased border enforcement by the United States (Los Angeles Times, September 1, 2010). While its share has declined, California still accounts for 29% of the nation’s estimated 11.9 million undocumented immigrants. Use Table 1. a. In a sample of 40 illegal immigrants, what is the probability that more than 23% live in California? (Round “z” value to 2 decimal places, and...
After years of rapid growth, illegal immigration into the United States has declined, perhaps owing to...
After years of rapid growth, illegal immigration into the United States has declined, perhaps owing to the recession and increased border enforcement by the United States (Los Angeles Times, September 1, 2010). While its share has declined, California still accounts for 35% of the nation’s estimated 11.3 million undocumented immigrants. a. In a sample of 60 illegal immigrants, what is the probability that more than 21% live in California? (Round “z” value to 2 decimal places, and final answer to...
After years of rapid growth, illegal immigration into the United States has declined because of the...
After years of rapid growth, illegal immigration into the United States has declined because of the recent recession and better economic conditions in the countries south of the border. But California still accounts roughly 20% of the nation undocumented immigrants. If you take a random sample of 50 undocumented immigrants, what is the probability that more than a quarter (25%) of them live in California? (HINT: Large sample proportion – use Normal approximation.) Define p = proportion of all undocumented...
How is the United States impacted economically by immigration of low-skilled labor, whether legal or illegal?...
How is the United States impacted economically by immigration of low-skilled labor, whether legal or illegal? Who benefits and who is hurt by such immigration?
Why has the union movement in the United States declined so much in the last few decades?
Why has the union movement in the United States declined so much in the last few decades? What potential businesses or industries may be ripe for unionization?
Organized labor in the United States has steadily declined in membership over the last several decades,...
Organized labor in the United States has steadily declined in membership over the last several decades, though many sectors have seen an increase in labor union members such as education and the service industry.  Evaluate the advantages and disadvantages of union membership. Examine theories, techniques, and best practices for union avoidance Propose two strategies on how to foster relationships within the workplace. List the strategies, explain what they are, and explain how this strategy will work.
Skill-biased Immigration. (a) Let us consider the immigration dynamics between the United States and Mexico. The...
Skill-biased Immigration. (a) Let us consider the immigration dynamics between the United States and Mexico. The minimum wage of the U.S. is $7.25, while that of Mexico is $5.1 in U.S. dollars. Let the return to skills in Mexico be two times of that of the U.S., partly because the U.S. (Mexico) is relatively abundant (scarce) in the availability of skilled workers. In other words, if we plot skills x on the horizontal axis and hourly wage y on the...
a. In early 2001 investment spending sharply declined in the United States. This event caused a...
a. In early 2001 investment spending sharply declined in the United States. This event caused a multiple choice 1 rightward shift in aggregate demand, and more investment would have caused a rightward shift in aggregate supply. rightward shift in aggregate demand, and lower investment would have caused a leftward shift in aggregate supply. leftward shift in aggregate demand, and lower investment would have caused a leftward shift in aggregate supply. leftward shift in aggregate demand, and less investment would have...
Joy’s Frozen Yogurt shops have enjoyed rapid growth in northeastern states in recent years. From the...
Joy’s Frozen Yogurt shops have enjoyed rapid growth in northeastern states in recent years. From the analysis of Joy’s various outlets, it was found that the demand curve follows this pattern: Q = 200 - 300P + 120I +65T - 250Ac + 400Aj where Q = number of cups served per week P = average price paid for each cup I = per capita income in the given market (thousands of dollars) T = average outdoor temperature Ac = competition’s...
1. Explicit collusion by members of a cartel is illegal in the United States and many...
1. Explicit collusion by members of a cartel is illegal in the United States and many other countries. Nonetheless, cartels do manage to form and, in some cases, persist for extended periods. Can you identify actions cartel members could take that might help them coordinate their actions but stop short of explicit agreements? 2. List five examples of markets that you would consider to be oligopolies (a few firms engaged in strategic competition). For each example, explain whether you think...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT