1)A professor using an open-source introductory statistics bookpredicts that 60% of the students will purchase a hard copy of thebook, 25% will print it out from the web, and 15% will read itonline. She has 200 students this semester. Assuming that theprofessor's predictions were correct, calculate the expected numberof students who read the book online.

2)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 ClaraCounty\", Santa Clara County Public Health Department, May2011.

Race	Cases
White	2136
Hispanic	1122
Black	448
Asian/Pacific Islander	227
Total	3933

Directions: Conduct a chi-square test forgoodness-of-fit to determine whether or not the occurrence of AIDScases is consistent with the race distribution of Santa ClaraCounty.

1. Choose the correct null and alternative hypotheses.
   • H0:H0: The distribution of AIDS cases is consistent with therace distribution in Santa Clara County.
     HaHa The distribution of AIDS cases is different from the racedistribution in Santa Clara County.
   • H0H0 The distribution of AIDS cases is different from the racedistribution in Santa Clara County.
     Ha:Ha: The distribution of AIDS cases is consistent with the racedistribution in Santa Clara County.
2. Compute the test statistic.
   
   The population distribution of Santa Clara County by race isprovided in the table below. Use these percentages to compute theexpected number of cases for each racial group. Round each of theexpected counts to 2 decimal places.
   

   Race	Proportion	Expected cases
   White	0.424
   Hispanic	0.259
   Black	0.025
   Asian/Pacific Islander	0.292
   Total	1

   
   Determine the value of the test statistic. Round your answer to 1decimal place.
   
   χ2=χ2=
   
3. Compute the p-value. Round your answer to 4 decimalplaces.
   
   p-value =
   
4. Interpret the results of the significance test.
   • The differences between the distribution of AIDS cases and thedistribution of the general population in Santa Clara County arenot statistically significant. From a practical perspective, thedifferences are minor.
   • The differences between the distribution of AIDS cases and thedistribution of the general population in Santa Clara County isstatistically significant. The differences are also important froma practical perspective. For example, the number of blacks withAIDS is 3.6 times more than expected and the number ofAsian/Pacific Islanders with AIDS is 4.1 times less thanexpected.