It has been known that around 75% of students enrolled in Elementary Statistics in a certain university pass this course. A sample of 35 students were randomly selected from the current student list who took Elementary Statistics this semester, and 28 of them passed the course. Is there sufficient evidence at 5% level of significance to claim that this historical percentage has increased in the modern times? 5.1. What are the hypotheses to be tested by the problem? OO 80 B O O O C o 5.2. What is the critical region to be considered in the test? B A. Ho: p= 0.75; H₁: p > 0.75 B. Ho: p=0.75; H₁: p < 0.75 C. Ho: $ > 0.75; H: Ô ≤ 0.75 D. Ho: < 0.75; H₁: Ô ≥ 0.75 C A. B. C. Z<-Za Z > Za |Z| > Za/2

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show all solutions note: answer only number 5.3 the question is connected to number 5)
5.3. What is the decision and conclusion for the test?
For this question, use the following:
Z =
Y - npo
√npo(1 - Po)
Zo.05 = 1.645
Zo.o2s = 1.96
O
Reject the null hypothesis; there is sufficient evidence to conclude that the current
percentage has increased compared to the historical percentage.
Do not reject the null hypothesis; there is no sufficient evidence to conclude that the
current percentage has increased compared to the historical percentage.
Reject the null hypothesis; there is sufficient evidence to conclude that the current
percentage has decreased compared to the historical percentage.
Do not reject the null hypothesis; there is no sufficient evidence to conclude that the
current percentage has decreased compared to the historical percentage.
Reject the null hypothesis; there is sufficient evidence to conclude that the current
percentage is equal to the historical percentage.
Do not reject the null hypothesis; there is no sufficient evidence to conclude that the
current percentage is equal to the historical percentage.
Transcribed Image Text:5.3. What is the decision and conclusion for the test? For this question, use the following: Z = Y - npo √npo(1 - Po) Zo.05 = 1.645 Zo.o2s = 1.96 O Reject the null hypothesis; there is sufficient evidence to conclude that the current percentage has increased compared to the historical percentage. Do not reject the null hypothesis; there is no sufficient evidence to conclude that the current percentage has increased compared to the historical percentage. Reject the null hypothesis; there is sufficient evidence to conclude that the current percentage has decreased compared to the historical percentage. Do not reject the null hypothesis; there is no sufficient evidence to conclude that the current percentage has decreased compared to the historical percentage. Reject the null hypothesis; there is sufficient evidence to conclude that the current percentage is equal to the historical percentage. Do not reject the null hypothesis; there is no sufficient evidence to conclude that the current percentage is equal to the historical percentage.
5. For questions 5.1-5.3, refer to the following problem:
It has been known that around 75% of students enrolled in Elementary
Statistics in a certain university pass this course. A sample of 35 students
were randomly selected from the current student list who took Elementary
Statistics this semester, and 28 of them passed the course. Is there sufficient
evidence at 5% level of significance to claim that this historical percentage has
increased in the modern times?
5.1. What are the hypotheses to be tested by the problem?
0000
A B C
5.2. What is the critical region to be considered in the test?
0 0 0
B
A. Ho: p= 0.75; H₁: p > 0.75
B. Họ: $ = 0.75; Hạ: p< 0.75
C. Ho: $ > 0.75; H: Ô ≤ 0.75
D. Ho: < 0.75; H₁: Ô ≥ 0.75
C
A.
B.
C.
Z<-Za
Z > Za
|Z| > Zα/2
Transcribed Image Text:5. For questions 5.1-5.3, refer to the following problem: It has been known that around 75% of students enrolled in Elementary Statistics in a certain university pass this course. A sample of 35 students were randomly selected from the current student list who took Elementary Statistics this semester, and 28 of them passed the course. Is there sufficient evidence at 5% level of significance to claim that this historical percentage has increased in the modern times? 5.1. What are the hypotheses to be tested by the problem? 0000 A B C 5.2. What is the critical region to be considered in the test? 0 0 0 B A. Ho: p= 0.75; H₁: p > 0.75 B. Họ: $ = 0.75; Hạ: p< 0.75 C. Ho: $ > 0.75; H: Ô ≤ 0.75 D. Ho: < 0.75; H₁: Ô ≥ 0.75 C A. B. C. Z<-Za Z > Za |Z| > Zα/2
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