Guilty or Innocent? In the U.S. court system, a defendant is assumed innocent until proven guilty. Suppose that you regard a court trial as a hypothesis test with null and alternative hypotheses H0: Defendant is innocentHa: Defendant is guilty. a. Explain the meaning of a Type I error.b. Explain the meaning of a Type II error.c. If you were the defendant, would you want a to be large or small? Explain your answer.If you were the prosecuting attorney, would you want ß to be large or small? Explain your answer.e. What are the consequences to the court system if you make a = 0? ß = 0?

The mean SAT score in mathematics is 490. The founders of a nationwide SAT preparation course claim that graduates of the course score highest, on average,  than the national mean.  Suppose that the founders of the course want to carry out a hypothesis test to see if their claim had merit.  State the null hypothesis H o and the alternative hypothesis H 1 that they would use? 1. H o ______ 2. H 1______

D. Whymight it be worse to make a Type 1 error in this scenario? E. Suppose that we fail to reject the null hypothesis. Wrote a conclusion statement in the context of the problem. Assume no errors were made.

Moe's Original Barbecue is interested in whether customers are tipping less than they were last month, when the average per check was $5. If tips are down, they will consider raising the hourly wage. Select the correct symbols to use in the null hypothesis for this hypothesis test. Ho: [ Select ] [ Select ] 5

Food inspectors inspect samples of food products to see if they are safe. This can be thought of as a hypothesis test with the following hypotheses. Họ: the food is safe H3: the food is not safe The following is an example of what type of error? The sample suggests that the food is safe, but it actually is not safe. type I O type II O not an error

A hypothesis test is conducted in order to determine the average weight of a Kit Kat bar.using the following null and alternative hypotheses: H0: The average weight of a Kit Kat bar is 1.5 ounces. HA: The average weight of a Kit Kat bar is greater than 1.5 ounces. Using complete sentences, explain what both a Type 1 and Type 2 error would be in context of this hypothesis test.

Austin works in the marketing department for a large cable company. Recently, he heard that 56% of cable TV subscribers are considering dropping their cable TV subscription. He tests the claim by randomly selecting a sample of cable TV subscribers and asking whether they are considering dropping their cable TV subscription. Austin finds that 122 of the 224 he surveyed are considering dropping their cable TV subscription. What are the null and alternative hypotheses for this hypothesis test? Select the correct answer below: Ha: p0.56 Ho: p-0.56 Ha: p> 0.56 : p0.56 Ha: p0.56 Ho p 0.56 Ha p<0.56

When conducting a hypothesis test, we hope to avoid commiting a type 1 error, which is: 1. Not as bad as committing a type 2 error 2. rejecting a null hypothesis when it is true 3. rejecting the alternate hypothesis when it is true 4. accepting the null hypothesis when the alternate hypothesis is true

What calculator button would be used to perform a hypothesis test if the null and alternative hypothesis are as follows: Ho: P₁ = P2 H₁ P₁ P2 Select one: O a. Z-Test... O b. 2-SampZTest... O c. T-Test... O d. 2-SampTTest O e. 2-PropZTest...

To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. The results are given below.   Student Exam Score Before the Course Exam Score After the Course 1 720 700 2 740 770 3 900 950 4 700 710 5 500 580 6 840 900 7 820 840 8 640 650   Use an appropriate hypothesis test, at 0.05 level of significance, to determine whether there is evidence of a difference between before and after scores of the students. What assumption is necessary to perform the hypothesis test in (a)? Construct a 95% confidence interval estimate of the mean difference in before and after scores. Interpret the interval. What is your decision based on this confidence interval estimate?