The number of AIDS cases reported for Santa Clara County, California is broken down by race in the table below. Source: "HIV /AIDS Epidemiology Santa Clara County", Santa Clara County Public Health Department, May 2011. Race Cases White 2290 Hispanic 1109 Black 478 Asian/Pacific Islander 235 Total 4112 Directions: Conduct a chi-square test for goodness-of-fit to determine whether or not the occurrence of AIDS cases is consistent with the race distribution of Santa Clara County. 1. Choose the correct null and alternative hypotheses. O Ho: The distribution of AIDS cases is consistent with the race distribution in Santa Clara County. H.: The distribution of AIDS cases is different from the race distribution in Santa Clara County. O H: The distribution of AIDS cases is different from the race distribution in Santa Clara County. Ha: The distribution of AIDS cases is consistent with the race distribution in Santa Clara County. 2. Compute the test statistic. The population distribution of Santa Clara County by race is provided in the table below. Use these percentages to compute the expected number of cases for each racial group. Round each of the expected counts to 2 decimal places. Race Proportion Expected cases White 0.423 Hispanic 0.253 Black 0.026 Asian/Pacific Islander 0.298 Total 1 Determine the value of the test statistic. Round your answer to 1 decimal place. 3. Compute the p-value. Round your answer to 4 decimal places. p-value = 4. Interpret the results of the significance test. O The differences between the distribution of AlIDS cases and the distribution of the general population in Santa Clara County are not statistically significant. From a practical perspective, the differences are minor. O The differences between the distribution of AlIDS cases and the distribution of the general population in Santa Clara County is statistically significant. The differences are also important from a practical perspective. For example, the number of blacks with AIDS is times more than expected and the number of Asian/Pacific Islanders with AIDS is times less than expected.

You may need to use the appropriate technology to answer this question. The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of management and the reputation of the company were rated on an excellent, good, and fair categorical scale. Assume the sample data for 200 respondents below applies to this study. Reputation of Company Quality of Management Excellent Good Fair Excellent 40 25 8 Good 35 35 10 Fair 25 10 12 (a) Use a 0.05 level of significance and test for independence of the quality of management and the reputation of the company. State the null and alternative hypotheses. O H: Quality of management is independent of the reputation of the company. H: Quality of management is not independent of the reputation of the company. O H: Quality of management is independent of the reputation of the H: The proportion of companies…

Consider a sample with data values of 10, 20, 15, 16, and 18. Compute the range and interquartile range.

A congressperson wants to come up with a single value to describe the prices of homes in their district. However, their district consists of a few homes that are extremely expensive compared to the others. Which descriptive statistic should they use? a. Range b. Mode c. Median d. Mean

The income of residents of Chicago, IL has a bell shaped and symmetric histogram, with a mean of $65,000 and a S.D. of $13,000.  1) What percentage of residents have an income more than $78,000 or less than $52,000?   2) what percentage of residents have an income between $39,000 and $91,000?   3) What percentage of residents have an income less than $104,000?  4) What percentage have an income more than $65000?  5)  Less than $26,000 Hint: you need to draw a curve for each part 1-4, and calculate the mean ± 1, 2, 3 S.D.

Fund the mean and variance for the following sample data 12, 16, 11, 23, 9, 17, 12, 25

What is the value of SS for the following sample?  1,3,2,2?

How many samples or treatments are here?   490 undergraduate students at a state university in the southwestern region of the United States were surveyed. Each student in the sample was classified according to class standing (freshman, sophomore, junior, or senior) and body are category (body piercings only, tattoos only, both tattoos and body piercings, no body art). Use the data in the accompanying table to determine if there is an association between class standing and body art category. Assume that it is reasonable to regard the sample as representative of the students at this university. Use α = 0.01.                                                             Freshman  Sophmore   Junior    Senior Body Piercings                                          61              7              14          86 Only Tattoos                                             43              11             10         64 Only Mildly Piercings and Tattoos            20                9              7…

Consider the following set of homerun distances (in feet) to centre field in 13 ballparks: {387, 400,400, 410, 410, 414, 415, 420, 420, 457, and 461}a. What is the median?b. What is the mean?c. What is the mode?

A histogram which is not symmetrically bell-shaped is called shrewed skewed stewed spoofed