arketing  firm randomly selects 300 households in a town asking about their annual income. They want to test whether the average household income in the town is $88,000 annually. The average of the ticket values in th

A health foods shop owner is wondering if his customers' daily vitamin supplement habits are in the same proportion as the general population of adults. The shop owner heard in a news report that 60% of all adults reported that they took a daily vitamin. The shop owner believes that his customers have a greater proportion of adults who take a daily vitamin, so he decides to conduct a hypothesis test using the following null and alternative hypotheses: Ho: p selected customers and recorded that 45 of them use daily vitamin supplements. = 0.6 and Ha: p > 0.6. The shop owner collected data from 50 randomly (a) Compute the appropriate test statistic and find the p-value of the test and based on a 5% significance level. Write a conclusion about the null hypothesis by interpreting the p-value. Be sure to clearly state the decision regarding the null hypothesis.

Researchers conducted a study to determine whether the majority of community college students plan to vote in the next presidential election. They surveyed 650 randomly selected community college students and found that 55% of them plan to vote. Which of the following are the appropriate null and alternative hypotheses for this research question? H 0 : p = 0.50 Ha: p ≠ 0.50 H 0 : p = 0.50 Ha: p > 0.50 H 0 : p = 0.55 Ha: p ≠ 0.55 H 0 : μ = 0.55 Ha: μ > 0.55

In a volunteer group, adults 21 and older volunteer between 1 and 9 hours each week. The program includes people from a community college, a four-year college, and non-students. The leader of the group is interested in seeing if there is a relationship between the type of volunteer and the number of hours volunteered. She collected the following data below. Perform a hypothesis test to help her at 0.01 level of significance.   1-3 hours 4-6 hours 7-9 hours Community College Student 97 100 64 Four-Year College Student 99 128 55 Non-Student 99 138 41   What are the expected numbers? (round to 3 decimal places)   1-3 hours 4-6 hours 7-9 hours Community College Student       Four-Year College Student       Non-Student       The hypotheses are   H0:H0: The number of hours volunteered is independent of the type of volunteer.  HA:HA: The number of hours volunteered is dependent of the type of volunteer.(claim)   Since αα = 0.01 the critical value is 13.277 The test…