a) A travel TV hosts claim that backpackers age are varies and the distribution for the travel age is as follows: 20-29 years old (16%), 30-39 years old (40%), 40-49 years old (25%) and 50 and over (19%). To prove this, he asked 280 backpackers their age and Table 1 shows the result of the interview based on the age group. Table 1: Survey of the Backpackers' Age 20-29 years old 30-39 years old 40-49 years old Over 50 years old 60 100 80 40 Conduct the hypothesis testing with 95% confidence level to test the claim by the TV hosts. Note: Use notation as follows: pi = 20-29 years old travelers; p2 = 30-39 years old travelers; p3 = 40-49 years old travelers; P4 = 50 years old traveler. Given the hypothesis statement: Ho: Pi = 0.16, p2 =0.4, p3 =0.25, p3 =0.19 Hj: At least one of the p is different from the claimed value Calculate the x2 test value: 20-29 30-39 40-49 Over 50 Observed Frequency (0) 60 100 80 40 Expected Frequency (E)* 70 53 x? *For Expected Frequency (E), answer in round number Thus, the x'test = Get the critical value (x?cv): Critical value (x²cv)=x² State the conclusion of your test: Based on the xtest and x?cv, we the null hypothesis. CV

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ANSWER ALL IN 3 DECIMAL POINT, EXCEPT STATED OTHERWISE
a)
A travel TV hosts claim that backpackers age are varies and the distribution for the travel age
is as follows: 20-29 years old (16%), 30-39 years old (40%), 40-49 years old (25%) and 50 and
over (19%).
To prove this, he asked 280 backpackers their age and Table 1 shows the result of the interview
based on the age group.
Table 1: Survey of the Backpackers' Age
20-29 years old 30-39 years old
40-49 years old
Over 50 years old
60
100
80
40
Conduct the hypothesis testing with 95% confidence level to test the claim by the TV hosts.
Note: Use notation as follows:
pi = 20-29 years old travelers; p2 = 30-39 years old travelers; p3 = 40-49 years old travelers;
P4 = 50 years old traveler.
Given the hypothesis statement:
Họ: Pj = 0.16, p2 =0.4, p3 =0.25, P3 =0.19
Hj: At least one of the p is different from the claimed value
3D0.25, рз 30.19
Calculate the x2 test value:
20-29
30-39
40-49
Over 50
Observed Frequency (O)
60
100
80
40
Expected Frequency (E)*
70
53
x²
*For Expected Frequency (E), answer in round number
Thus, the xtest =
Get the critical value (x?cv):
Critical value (x²cv)=x²
State the conclusion of your test:
Based on the x²test and xcv, we
X CV
+ the null hypothesis.
Transcribed Image Text:ANSWER ALL IN 3 DECIMAL POINT, EXCEPT STATED OTHERWISE a) A travel TV hosts claim that backpackers age are varies and the distribution for the travel age is as follows: 20-29 years old (16%), 30-39 years old (40%), 40-49 years old (25%) and 50 and over (19%). To prove this, he asked 280 backpackers their age and Table 1 shows the result of the interview based on the age group. Table 1: Survey of the Backpackers' Age 20-29 years old 30-39 years old 40-49 years old Over 50 years old 60 100 80 40 Conduct the hypothesis testing with 95% confidence level to test the claim by the TV hosts. Note: Use notation as follows: pi = 20-29 years old travelers; p2 = 30-39 years old travelers; p3 = 40-49 years old travelers; P4 = 50 years old traveler. Given the hypothesis statement: Họ: Pj = 0.16, p2 =0.4, p3 =0.25, P3 =0.19 Hj: At least one of the p is different from the claimed value 3D0.25, рз 30.19 Calculate the x2 test value: 20-29 30-39 40-49 Over 50 Observed Frequency (O) 60 100 80 40 Expected Frequency (E)* 70 53 x² *For Expected Frequency (E), answer in round number Thus, the xtest = Get the critical value (x?cv): Critical value (x²cv)=x² State the conclusion of your test: Based on the x²test and xcv, we X CV + the null hypothesis.
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