Suppose Jamal is studying poverty in his economics class, and he wants to compare the proportion of individuals living below the poverty line in different regions of the United States. He collects data on a simple random sample of people residing in the south and a simple random sample of people residing in the northeast. His data are summarized in the table. Роpulation Sample Number Proportion Population description size of successes of sucesses 1 residents of southern states n¡ = 1093 X1 = 178 = 0.16285 2 residents of northeastern states n2 = 1099 X2 = 143 P2 = 0.13012 Jamal wants to run a two-sample z-test for the difference of two proportions to test the alternative hypothesis, H1: Pi > , against the null hypothesis, Ho: Pi = P2, where pı is the proportion of residents of southern states that are living below the poverty line, and p2 is the proportion of residents of northeastern states that are living below the poverty line. Jamal selects a significance level of a = 0.05. Compute the z-statistic and P-value for Jamal's z-test for the difference of two proportions, p1 – p2. Give your answers precise to three decir z-statistic = P-value =

Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n1 = 38 U.S. cities. The sample mean for these cities showed that x1 = 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n2 = 37 U.S. cities. The sample mean for these cities showed that x2 = 18.1% of the young adults had attended college. From previous studies, it is known that ?1 = 6.4% and ?2 = 4.8%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use ? = 0.05. What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to two decimal places.)=__(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)=__

Many people like to play app based games on their mobile devices. Suppose we would like to estimate the average amount of time (in hours) per week students have played an app-based game on their mobile device at CSU Stan. In order to do this, we take a random sample of 20 students and ask them how many hours they have played an app- based game in the last week. The following data were collected: 11 4 5.5 5.5 7 6.2 10 10 7.5 6 7 7.5 2.5 Which of the following is the correct 99% confidence interval for the estimate of the average number of hours (per week) that all CSU Stan students have played an app- based game? [5.28, 7.59] [4.86, 8.01] [5.48,7.39] [5.86, 7.01]

1) A consumer research company wants to estimate the average cost of an airline ticket for a round trip from New York to Los Angeles. A random sample of 50 airfares had an average price of $438. Identify the variable. (a) Simple random sample (c) Consumer research company (b) Airline fare (d) City e) $438

A sociologist studying New York City ethnic groups wants to determine if there is a difference in income for immigrants from four different countries during their first year in the city. She obtained the data in the following table from a random sample of immigrants from these countries (incomes in thousands of dollars). Use a 0.05 level of significance to test the claim that there is no difference in the earnings of immigrants from the four different countries. Country I Country II Country III Country IV 12.3 8.3 20.4 17.3 9.1 17.2 16.5 8.7 10.9 19.2 22.8 14.2 8.8 10.2 5.5 21.4 16.1   19.2 19.3   (b) Find SSTOT, SSBET, and SSW and check that SSTOT = SSBET + SSW. (Round your answers to three decimal places.) SSTOT =   SSBET =   SSW =   Find d.f.BET, d.f.W, MSBET, and MSW. (Round your answer to three decimal places for MSBET and MSW.) dfBET =   dfW =   MSBET =   MSW =   Find the value of the sample F statistic. (Round your answer to three decimal…

Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n1 = 38 U.S. cities. The sample mean for these cities showed that x1 = 15.2% of the older adults had attended college. Large surveys of young adults (age 25 - 34) were taken in n2 = 37 U.S. cities. The sample mean for these cities showed that x2 = 18.1% of the young adults had attended college. From previous studies, it is known that ?1 = 6.4% and ?2 = 4.8%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use ? = 0.05. (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) A random sample of n1 = 12 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that ?1 = 15. For Englewood (a suburb of Denver), a random sample of n2 = 16 winter days gave a…

On average, a sample of n = 36 scores will provide a better estimate of the population mean than a sample of n = 49 scores from the same population.

The table below shows the auto insurance quotes for two leading companies for a sample of 15 families. Assume the populations SDs are similar, but unknown. The President of the American Insurance Institute wants to compare the yearly costs of such insurance offered by the two companies. At the 0.10 level of significance, can we conclude that there is a difference in the amounts quoted? Families Southern Car American Mutual   ($) ($) 1 2090 1610 2 1683 1247 3 1402 2327 4 1830 1367 5 930 1461 6 697 1789 7 1741 1621 8 1129 1914 9 1018 1956 10 1881 1772 11 1571 1375 12 874 1527 13 1579 1767 14 1577 1636 15 860 1188