The national average SAT score is roughly 1500. We would like to see if the high school seniors who apply to Duke have higher than average SAT scores. We randomly sample 100 applicants' files and record their SAT scores. Which of the following is the correct set of hypotheses for this research question? Hint: think about how many samples we have data from.   H0: μ = 1500; HA: μ ≠ 1500 H0: p = 1500; HA: p > 1500 H0: μ Duke= μ National; HA: μ Duke> μ National H0: x = 1500; HA: x > 1500 H0: μ = 1500; HA: μ > 1500

You are thinking about opening a restaurant and are searching for a good location. From research you have done, you know that the mean income of those living near the restaurant must be over $85,000 to support the type of upscale restaurant you wish to open. You decide to take a simple random sample of 50 people living near one potential location. Based on the mean income of this sample, you will perform a test of Ho : μ = $85,000 Haμ> $85,000 where is the true mean income in the population of people who live near the restaurant. Which of the following is not true regarding Type I and Type II errors in this setting? All of these statements are true. A possible consequence of a Type I error here is you may open your restaurant in a location where the residents will not be able to support it, so your restaurant may go out of business. A Type I error occurs when you find convincing evidence that the mean income of all residents near the restaurant exceeds $85,000 when in reality it does…

Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data.  Test the null hypothesis that the population frequencies for each category are equal.  α= .05. Iron Man Black Panther Wonder Woman Spiderman fo = 40 fo = 60 fo =55 fo = 45 fe = fe = fe = fe =   What is the correct result based on the data?

Edllon. J2 THiles per gallon when it is QUESTION 7 Find the P-value for the indicated hypothesis test. In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P-value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 119%. 0.2843 -0.2843 0.2157 O 0.5686 QUESTION 8 for the indicated hypothesis test. fathers take no responsibility for