Step 1: Test Set-Up Question 1: How large a sample is needed to achieve 80% statistical power? Based on past research Cohen's d effect size is estimated at 0.40, which is a small effect. See the table below:

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Can you please answer number 1 and give reasoning for the answer thank you
 
Exercise 1
Fortitude Insurance sells extended car warranties over the phone. They call people using random dialing.
When recipients of the phone call press one on their phone, they are transferred to a sales agent. Sales agents
are paid on commission. Management is concerned about the rapid turn-over of sales agents. They have
decided to test a more lucrative commission plan. You have been hired to conduct this test. The research
question: Does the new commission plan help sales agents increase their weekly sales commission?
The significance level will be set at 5%.
Step 1: Test Set-Up
Question 1: How large a sample is needed to achieve 80% statistical power? Based on past research Cohen's
d effect size is estimated at 0.40, which is a small effect. See the table below:
Cohen's d ES
Thresholds
Small
0.2
Medium
0.5
Large
0.8
Here are the results of an a priori power analysis run using G*Power.
Output parameters
Noncentrality parameter 6
2.5612497
Critical t
1.6838510
Df
40
Total sample size
41
Actual power
0.8085822
Transcribed Image Text:Exercise 1 Fortitude Insurance sells extended car warranties over the phone. They call people using random dialing. When recipients of the phone call press one on their phone, they are transferred to a sales agent. Sales agents are paid on commission. Management is concerned about the rapid turn-over of sales agents. They have decided to test a more lucrative commission plan. You have been hired to conduct this test. The research question: Does the new commission plan help sales agents increase their weekly sales commission? The significance level will be set at 5%. Step 1: Test Set-Up Question 1: How large a sample is needed to achieve 80% statistical power? Based on past research Cohen's d effect size is estimated at 0.40, which is a small effect. See the table below: Cohen's d ES Thresholds Small 0.2 Medium 0.5 Large 0.8 Here are the results of an a priori power analysis run using G*Power. Output parameters Noncentrality parameter 6 2.5612497 Critical t 1.6838510 Df 40 Total sample size 41 Actual power 0.8085822
Here are the results of an a priori power analysis run using G*Power.
Output parameters
Noncentrality parameter 8
2.5612497
Critical t
1.6838510
Df
40
Total sample size
41
Actual power
0.8085822
Will a sample of 41 sales agents achieve statistical power of 80% or more? Place and X in the
appropriation box:
Answer:
Yes
No
What would happen to statistical power if the estimate of Cohen's d effect size is wrong?
Transcribed Image Text:Here are the results of an a priori power analysis run using G*Power. Output parameters Noncentrality parameter 8 2.5612497 Critical t 1.6838510 Df 40 Total sample size 41 Actual power 0.8085822 Will a sample of 41 sales agents achieve statistical power of 80% or more? Place and X in the appropriation box: Answer: Yes No What would happen to statistical power if the estimate of Cohen's d effect size is wrong?
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