please solve my Question

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 I 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 d 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: p1 = 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: P1 = 0.16, p2 =0.4, P3 =0.25, P3 =0.19 Hi: At least one of the p is different from the claimed value Calculate the x 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 X- best = Get the critical value (X ev): Critical value (x?cv)=x2 State the conclusion of your test: Based on the X'test and Xew. we the null hypothesis.A researcher wishes to test the effectiveness of a new flu vaccination. There are 150 people who are vaccinated with Vaccine A, 180 are vaccinated with Vaccine B and 100 people are not vaccinated. Independent simple random samples were used and the number in each group who later caught the flu was recorded. Table 2 shows the test group and the flu status. Table 2: Status for Vaccine A, Vaccine B and No Vaccine Vaccine A Vaccine B No Vaccine Got flu 8 19 21 No flu 142 161 79 At the 0.05 level of significance, is the new flu vaccination effective? Conduct the chi-square test to support your justification. Given the hypothesis statement as: Ho:There is no effect of the new flu vaccine to the test groups. Hi There is a significant effect of the new flu vaccine to the test groups. Calculate the x test value: The expected value is given as below: Vaccine A Vaccine B No Vaccine Observed Expected Observed Expected Observed Expected Caught the flu 8 16.7 19 20.1 21 11.2 Did not catch the flu 142 133.3 161 159.9 79 88.8 Fill in the blank cells: Cell value (open) | [oy -ex)]?/ en (8, 16.7) (142, 133.3) (19, 20.1) (161, 159.9) 0.008 (21, 11.2) (79, 88.8) Thus, the X-test =