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18.22 Immigration (optional). In the setting of Exercise 18.20, what is the probability of getting a sample in which more than 30% of those sampled think that the level of immigration to this country should be decreased? (Use Table B.)

18.22 Immigration (optional). In the setting of Exercise 18.20, what is the probability of getting a sample in which more than 30% of those sampled think that the level of immigration to this country should be decreased? (Use Table B.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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18.22 Immigration (optional). In the setting of Exercise 18.20, what is the probability of getting a sample in which more than 30% of those sampled think that the level of
immigration to this country should be decreased? (Use Table B.)

 

I have provide the question 18.20 and table b

 

 

18.20 Immigration. Suppose that 29% of all adult Americans think that the level of immigration to the United States should be decreased. An opinion poll interviews 1520 randomly chosen Americans and records the sample proportion who feel that the level of immigration to this country should be decreased. This statistic will vary from sample to sample if the poll is repeated. The sampling distribution is approximately Normal with mean 0.29 and standard deviation about 0.012. Sketch this Normal curve and use it to answer the following questions. a. The mean of the population is 0.29. In what range will the middle 95% of all sample results fall? b. What is the probability that the poll gets a sample in which fewer than 27.8% say the level of immigration to this country should be decreased?
Transcribed Image Text:18.20 Immigration. Suppose that 29% of all adult Americans think that the level of immigration to the United States should be decreased. An opinion poll interviews 1520 randomly chosen Americans and records the sample proportion who feel that the level of immigration to this country should be decreased. This statistic will vary from sample to sample if the poll is repeated. The sampling distribution is approximately Normal with mean 0.29 and standard deviation about 0.012. Sketch this Normal curve and use it to answer the following questions. a. The mean of the population is 0.29. In what range will the middle 95% of all sample results fall? b. What is the probability that the poll gets a sample in which fewer than 27.8% say the level of immigration to this country should be decreased?
Table B Percentiles of the Normal distributions Standard Percentile Standard Percentile Standard Percentile Score score Score -3.4 0.03 -1.1 13.57 1.2 88.49 -3.3 0.05 -1.0 15.87 1.3 90.32 -3.2 0.07 -0.9 18.41 1.4 91.92 -3.1 0.10 -0.8 21.19 1.5 93.32 -3.0 0.13 -0.7 24.20 1.6 94.52 -2.9 0.19 -0.6 27.42 1.7 95.54 -2.8 0.26 -0.5 30.85 1.8 96.41 -2.7 0.35 -0.4 34.46 1.9 97.13 -2.6 0.47 -0.3 38.21 2.0 97.73 -2.5 0.62 -0.2 42.07 2.1 98.21 -2.4 0.82 -0.1 46.02 2.2 98.61 -2.3 1.07 0.0 50.00 2.3 98.93 -2.2 1.39 0.1 53.98 2.4 99.18 -2.1 1.79 0.2 57.93 2.5 99.38 -2.0 2.27 0.3 61.79 2.6 99.53 -1.9 2.87 0.4 65.54 2.7 99.65 -1.8 3.59 0.5 69.15 2.8 99.74 -1.7 4.46 0.6 72.58 2.9 99.81 -1.6 5.48 0.7 75.80 3.0 99.87 -1.5 6.68 0.8 78.81 3.1 99.90 -1.4 8.08 0.9 81.59 3.2 99.93 -1.3 9.68 1.0 84.13 3.3 99.95 -1.2 11.51 1.1 86.43 3.4 99.97
Transcribed Image Text:Table B Percentiles of the Normal distributions Standard Percentile Standard Percentile Standard Percentile Score score Score -3.4 0.03 -1.1 13.57 1.2 88.49 -3.3 0.05 -1.0 15.87 1.3 90.32 -3.2 0.07 -0.9 18.41 1.4 91.92 -3.1 0.10 -0.8 21.19 1.5 93.32 -3.0 0.13 -0.7 24.20 1.6 94.52 -2.9 0.19 -0.6 27.42 1.7 95.54 -2.8 0.26 -0.5 30.85 1.8 96.41 -2.7 0.35 -0.4 34.46 1.9 97.13 -2.6 0.47 -0.3 38.21 2.0 97.73 -2.5 0.62 -0.2 42.07 2.1 98.21 -2.4 0.82 -0.1 46.02 2.2 98.61 -2.3 1.07 0.0 50.00 2.3 98.93 -2.2 1.39 0.1 53.98 2.4 99.18 -2.1 1.79 0.2 57.93 2.5 99.38 -2.0 2.27 0.3 61.79 2.6 99.53 -1.9 2.87 0.4 65.54 2.7 99.65 -1.8 3.59 0.5 69.15 2.8 99.74 -1.7 4.46 0.6 72.58 2.9 99.81 -1.6 5.48 0.7 75.80 3.0 99.87 -1.5 6.68 0.8 78.81 3.1 99.90 -1.4 8.08 0.9 81.59 3.2 99.93 -1.3 9.68 1.0 84.13 3.3 99.95 -1.2 11.51 1.1 86.43 3.4 99.97
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