Fourteen of the major pundits/outlets provided race ratings for Colorado, and a supermajority of them (nine to be exact) said that Colorado was NOT a safe bet for Biden. In this Problem, you will use hypothesis testing to evaluate the effectiveness of pundits' predictions for the 2020 Presidential Election in Colorado. By 3 November 2020, the polling average for the State of Colorado was Biden ahead of Trump by 12.4%. For the purposes of this Problem, we will aggregate the polls into an average sample size of n 1000. In this case, that would result in a-562 and 30. Assume that being above 500 results in a Biden win with all other outcomes resulting in a Trump win. Suppose that 99.99% confidence or higher is high enough to definitively state that Colorado is a safe bet for Biden (e. "Safe Biden"). Hence, what would our two hypotheses be? OAHO:#05 HA:M>0.5 OBHO: 500 HA:M> 500 O0.HO:>05 HA: 0.5 OD. Ho: /> 500 HA: 500 QUESTION 2 Refer to the scenario from Question #1. Now, you will perform the hypothesis test by using the p-value approach. First, identify the value of alpha from the options below. OA 0.001 OB.0.1 OC.0.01 D. 0.0001 JESTION 3 Refer to the scenario from Question #1. Next, you will use either the normal distribution or the r-distribution. Which distribution should be used and why? A. We will use the 1-distribution because the population mean is unknown. B. We will use the normal distribution because the population mean is unknown. C. We will use the t-distribution because the population standard deviation is unknown.

By a small margin, Facebook remains the top choice of social media over all ages, with 29% using Facebook most often among those using social media sites. However, more visually oriented social networks such as Snapchat and Instagram continue to draw in younger audiences. When asked "Which one social networking brand do you use most often?" the results in the table show the top brands chosen by Americans aged 12-34 who currently use any social networking site or service. Social M edia Site Faceboo k Snapchat Instagra m Twitter Percentage That Use Most Often 29 28 26 6 20 (a) What is the sum of the percentages for these top social media sites? Give your answer as an exact number. Macmillan Learning top social media sites: What percent of Americans aged 12-34 use other social media sites most often? Give your answer as an exact number. other social media sites: do %

2. Toastmasters International cites a report by Gallup Poll that 40% of Americans fear public speaking. A student believes that less than 40% of students at her school fear public speaking. She randomly surveys 361 schoolmates and finds that 137 report they fear public speaking. Conduct a hypothesis test at the 5% level to determine if the percent at her school is less than 40%. a. State the null hypothesis. b. State the alternative hypothesis. c. 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.)

There is a 75% chance that those who are called will serve on jury duty.  If 12 people are called for jury duty, what is the probabilty that none of the people will serve on the jury?