In 2004, 68% of online courses taught at community colleges nationwide were taught by full-time faculty. To test if 68% also represents California's percent for full-time faculty teaching the online classes, Long Beach City College (LBCC), CA, was randomly selected for comparison. In 2004, 34 of the 44 online courses LBCC offered were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents CA.† Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)

A random sample of 1100 potential voters was randomly divided into 2 groups. Group 1:  500 potential voters; no registration reminders sent; 248 registered to vote Group 2:  600 potential voters; registration reminders sent; 332 registered to vote   Do these data support the claim that the proportion of voters who registered was greater in the group that received reminders than in the group that did not?  Use a 1% level of significance.

Suppose that major new legislation was recently passed by the government. Fourteen economists were sampled and asked to predict if the national economy would improve during the next 12 months compared to its present state as a result of this legislation. Eight of the economists predicted an improvement, two economists predicted no change, and four economists predicted a decline in the economy. Conduct a hypothesis test at the 0.10 significance level to determine if the majority of economists predict an improvement in the economy. What is the decision rule? Multiple Choice Reject Ho if the number of economists predicting an improvement is > 8. Reject Ho if the number of economists predicting an improvement is > 11. Reject Ho if the number of economists predicting an improvement is > 10. Reject Ho if the number of economists predicting an improvement is > 9.

Sierra College students enrolled in an online Elementary Statistics course were asked to participate in an anonymous onlne survey. The survey asked the students "Which type of device will you primarily use to access your online course in Canvas?". Of the 152 students who answered this question, 20 responded "a desktop computer", 121 responded "a laptop computer", 6 responded "a smartphone", and 5 responded "a tablet". The Sierra College Mathematics Department believes that less than 5% of students enrolled in an online Elementary Statistics course primarily uses a smartphone to access their online course in Canvas. Use the data collected in the survey to conduct a hypothesis testing procedure to test this belief. What conclusion should be reached according to the results of this hypothesis test?

The National Football League (NFL) is conducting a survey of fan behavior by collecting a random sample of 240 NFL fans. One question asks fans if they have ever participated in a violent act in or around their favorite team's stadium. Nationally, 28% of NFL fans have participated in a violent act around their team’s stadium. The research finds that 14% of Green Bay Packers fans have committed a violent act on game day. Conduct a significance test to answer the research question: Is there a significant difference (a=.05) in the proportion of Green Bay Packers fans compared to the rest of the NFL fans that have participated in a violent act?  What is the obtained score? What is the P-Value?

Last year, 41% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicates that 32% planned to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 55 business owners.  Suppose the business owners in the sample do as they plan. Conduct a hypothesis test that can be used to determine whether the proportion of business owners providing holiday gifts had decreased from last year. State the hypotheses.