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....


A researcher wishes to test the effectiveness of a new flu vaccination. There are 150 people<br>who are vaccinated with Vaccine A, 180 are vaccinated with Vaccine B and 100 people are not<br>vaccinated. Independent simple random samples were used and the number in each group<br>who later caught the flu was recorded. Table 2 shows the test group and the flu status.<br>Table 2: Status for Vaccine A, Vaccine B and No Vaccine<br>Vaccine A<br>Vaccine B<br>No Vaccine<br>Got flu<br>13<br>25<br>21<br>No flu<br>137<br>155<br>79<br>At the 0.1 level of significance, is the new flu vaccination effective? Conduct the chi-square<br>test to support your justification.<br>Given the hypothesis statement as:<br>Họ:There is no effect of the new flu vaccine to the test groups.<br>Hi:There is a significant effect of the new flu vaccine to the test groups.<br>Calculate the x² test value:<br>The expected value is given as below:<br>Vaccine A<br>Vaccine B<br>No Vaccine<br>Observed<br>Expected<br>20.6<br>Observed<br>Expected<br>Observed<br>Expected<br>Caught the flu<br>Did not catch the flu<br>13<br>25<br>24.7<br>21<br>13.7<br>137<br>129.4<br>155<br>155.3<br>79<br>86.3<br>Fill in the blank cells:<br>Cell value (oj, eij) [Oij -eij)]?/ eij<br>(13, 20.6)<br>(137, 129.4)<br>(25, 24.7)<br>(155, 155.3)<br>0.001<br>(21, 13.7)<br>(79, 86.3)<br>Thus, the x?test<br>Get the critical value (x?cv):<br>Critical value (x²cv)=x²<br>State the conclusion of your test:<br>We<br>• the null hypothesis; there is evidence that the new vaccine is<br>• to fight the flu.<br>||<br>

Extracted text: 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 13 25 21 No flu 137 155 79 At the 0.1 level of significance, is the new flu vaccination effective? Conduct the chi-square test to support your justification. Given the hypothesis statement as: Họ: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 x² test value: The expected value is given as below: Vaccine A Vaccine B No Vaccine Observed Expected 20.6 Observed Expected Observed Expected Caught the flu Did not catch the flu 13 25 24.7 21 13.7 137 129.4 155 155.3 79 86.3 Fill in the blank cells: Cell value (oj, eij) [Oij -eij)]?/ eij (13, 20.6) (137, 129.4) (25, 24.7) (155, 155.3) 0.001 (21, 13.7) (79, 86.3) Thus, the x?test Get the critical value (x?cv): Critical value (x²cv)=x² State the conclusion of your test: We • the null hypothesis; there is evidence that the new vaccine is • to fight the flu. ||

Jun 09, 2022
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