Question

For each of the following, select which test is most appropriate for the the investigation requested. a)Jamarr's class had an average of 86% on test 4. Jake's class had an average of 82% on test 4. Is this difference in means statistically significant? Two sample proportion test Two sample t test Paired t test One sample t test Chi square Goodness of Fit test Chi square Test of Independence b) In a 2008 sample, the conviction rate for cases brought by the prosecutor's office in Athens was 52%. In a 2021 sample, the conviction rate was 60%. Is this change in conviction rates statistically significant? Two sample proportion test Two sample t test Paired t test One sample t test Chi square Goodness of Fit test Chi square Test of Independence c) Two right handed men want to know if it's easier to 'rig' a coinflip when using their right hands vs. left hands. One man flips a coin 15 times with his right hand, and the other flips a coin 15 times with his left hand. They record the number of times the coin landed on heads. Is the number of heads flipped by the right hand significantly different than the number of heads flipped when using the left hand? Two sample proportion test Two sample proportion test Two sample t test Paired t test One sample t test Chi square Goodness of Fit test Chi square Test of Independence d) A golf pro is interested in which brand of driver gets the most distance. For. 6 weeks he asks each of his clients on the driving range to take one swing with each of two drivers and records the difference in the distance each ball travels. Which driver the client uses first is chosen randomly. Is the mean difference in travel distance for the two brands statistically significant? Two sample proportion test Two sample t test Paired t test One sample t test Chi square Goodness of Fit test Chi square Test of Independence e) The Georgia Department of Motor Vehicles (DMV) is concerned that crashes due to distracted driving are on the rise. In 2012, the DMV reported that motorists had an

Answer 1

The correct statistical tests for the given scenarios are the two sample t-test for comparing class averages, the two sample proportion test for conviction rates and coin flip hands differences, and the paired t-test for comparing distances by two golf drivers.

Step-by-step explanation:

In statistics, we often need to determine the significance of the difference between sample statistics. Depending on the type of data and the question posed, different statistical tests are used. Here we discuss the appropriate tests for various scenarios.

a. Two Sample Proportion Test

The correct test for investigating the significance of the difference in class averages of Jamarr and Jake's class is the two sample t-test. This test compares the means of two independent groups.

b. Two Sample Proportion Test

For examining the difference in the conviction rates between 2008 and 2021, the two sample proportion test is suitable. We are comparing proportions from two independent samples.

c. Two Sample Proportion Test

When comparing the number of heads obtained using right versus left hands, the two sample proportion test is again the test of choice since we have two independent samples and we are comparing proportions.

d. Paired t Test

The scenario with the golf pro involves dependent samples - the same clients using two different drivers. Therefore, the appropriate test is the paired t-test, which compares the means of two related groups.

e. Two Sample Proportion Test

Lastly, the concern about an increase in crashes due to distracted driving involves comparing proportions at two different points in time, which calls for a two sample proportion test.