Data from a recent year showed that 56% of the tens of thousands of applicants to a certain program were accepted. A company that trains applicants claimed that 159 of the 240 students it trained that year were accepted. Assume these trainees were representati population of applicants. Has the company demonstrated a real improvement over the average? Complete parts a through c below. a) What are the hypotheses? Which hypotheses below will test if the company demonstrated improvement over the average? Ho:p=0.56 OA HAp<0.56 Ho: p=0.56 O B. HA:p>0.56 Hg:p=0.56 OC. HA:p+0.56 Hg:p=0.6625 OD. HA:p>0.6625 Hg: p=0.6625 OE. HA: P+0.6625 Họ:p=0.6625 OF. Ha:p<0.6625 b) Verify that the conditions are satisfied and find the P-value. Which assumptions and conditions below are met? Select all that apply. DA. The independence assumption is met. OB. The 10% condition is met. O C. The randomization condition is met. OD. The success/failure condition is met. What is the P-value? P-value = (Round to four decimal places as needed.) c) Would you recommend this company based on what you see here? O A. The P-value provides some indication that the program is successful. OB. The P-value provides strong evidence that the program is successful. The Raralue providen insufficient evidence that the program is successful.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Data from a recent year showed that 56% of the tens of thousands of applicants to a certain program were accepted. A company that trains applicants claimed that 159 of the 240 students it trained that year were accepted. Assume these trainees were representative of the
population of applicants. Has the company demonstrated a real improvement over the average? Complete parts a through c below.
a) What are the hypotheses?
Which hypotheses below will test if the company demonstrated improvement over the average?
Ho:p-0.56
OA.
HA:p<0.56
Họ: p=0.56
OB.
HA:p>0.56
Ho:p=0.56
OC. Ha: p+0.56
Ho: p=0.6625
OD. HA:p>0.6625
Ho: p=0.6625
O E. HA:p+0.6625
Ho:p=0.6625
OF.
HA:p<0.6625
b) Verify that the conditions are satisfied and find the P-value.
Which assumptions and conditions below are met? Select all that apply.
DA. The independence assumption is met.
O B. The 10% condition is met.
O C. The randomization condition is met.
O D. The success/failure condition is met.
What is the P.value?
P-value = (Round to four decimal places as needed.)
c) Would you recommend this company based on what you see here?
O A. The P-value provides some indication that the program is successful.
O B. The P-value provides strong evidence that the program is successful.
OC. The P-value provides insufficient evidence that the program is successful.
O D. Inference is not possible since the assumptions and conditions are not met.
Click to select your answer(s).
a1495
12
FIO
20 F3
F7
*
#3
2$
%
&
9.
Transcribed Image Text:Data from a recent year showed that 56% of the tens of thousands of applicants to a certain program were accepted. A company that trains applicants claimed that 159 of the 240 students it trained that year were accepted. Assume these trainees were representative of the population of applicants. Has the company demonstrated a real improvement over the average? Complete parts a through c below. a) What are the hypotheses? Which hypotheses below will test if the company demonstrated improvement over the average? Ho:p-0.56 OA. HA:p<0.56 Họ: p=0.56 OB. HA:p>0.56 Ho:p=0.56 OC. Ha: p+0.56 Ho: p=0.6625 OD. HA:p>0.6625 Ho: p=0.6625 O E. HA:p+0.6625 Ho:p=0.6625 OF. HA:p<0.6625 b) Verify that the conditions are satisfied and find the P-value. Which assumptions and conditions below are met? Select all that apply. DA. The independence assumption is met. O B. The 10% condition is met. O C. The randomization condition is met. O D. The success/failure condition is met. What is the P.value? P-value = (Round to four decimal places as needed.) c) Would you recommend this company based on what you see here? O A. The P-value provides some indication that the program is successful. O B. The P-value provides strong evidence that the program is successful. OC. The P-value provides insufficient evidence that the program is successful. O D. Inference is not possible since the assumptions and conditions are not met. Click to select your answer(s). a1495 12 FIO 20 F3 F7 * #3 2$ % & 9.
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