Question

Flu Vaccine: The Center for Disease Control (CDC) claims that the flu vaccine is effective in...

Flu Vaccine: The Center for Disease Control (CDC) claims that the flu vaccine is effective in reducing the probability of getting the flu. They conduct a trial on 2000 people. The results are summarized in the contingency table below.

Observed Frequencies: Oi's

Got No
Vaccine Vaccine Totals
Got Flu   20     21     41  
No Flu   1280     679     1959  
Totals   1300     700     2000  

The Test: Test for a dependent relationship between getting the vaccine and getting the flu. Conduct this test at the 0.05 significance level.

(a) What is the null hypothesis for this test?

H0: Getting the flu vaccine helps prevent the flu.H0: Getting the flu vaccine and getting the flu are independent variables.     H0: Getting the flu vaccine and getting the flu are dependent variables.


(b) What is the value of the test statistic? Round to 3 decimal places unless your software automatically rounds to 2 decimal places.

χ2

=

(c) Use software to get the P-value of the test statistic. Round to 4 decimal places unless your software automatically rounds to 3 decimal places.
P-value =

(d) What is the conclusion regarding the null hypothesis?

reject H0fail to reject H0    


(e) Choose the appropriate concluding statement.

We have proven that getting the flu vaccine prevents the flu.The evidence suggests that getting the flu vaccine and getting the flu are dependent variables.    There is not enough evidence to conclude that getting the flu vaccine and getting the flu are dependent variables.

Homework Answers

Answer #1

The statistical software output for this problem is :

H0: Getting the flu vaccine and getting the flu are independent variables.  

Test statistics = 4.840

P-value = 0.0278

reject H0

The evidence suggests that getting the flu vaccine and getting the flu are dependent variables.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Flu Vaccine: The Center for Disease Control (CDC) claims that the flu vaccine is effective in...
Flu Vaccine: The Center for Disease Control (CDC) claims that the flu vaccine is effective in reducing the probability of getting the flu. They conduct a trial on 2000 people. The results are summarized in the contingency table below. Observed Frequencies: Oi's Got No    Vaccine Vaccine Totals    Got Flu   15     30     45    No Flu   985     970     1955    Totals   1000     1000     2000    The Test: Test for a dependent relationship between getting the vaccine and getting the flu. Conduct this...
Flu Vaccine: The Center for Disease Control (CDC) claims that the flu vaccine is effective in...
Flu Vaccine: The Center for Disease Control (CDC) claims that the flu vaccine is effective in reducing the probability of getting the flu. They conduct a trial on 2000 people. The results are summarized in the contingency table below. Observed Frequencies: Oi's Got No Vaccine Vaccine Totals Got Flu   14     33     47   No Flu   886     1067     1953   Totals   900     1100     2000   The Test: Test for a dependent relationship between getting the vaccine and getting the flu. Conduct this test at...
Flu Vaccine: The Center for Disease Control (CDC) claims that the flu vaccine is effective in...
Flu Vaccine: The Center for Disease Control (CDC) claims that the flu vaccine is effective in reducing the probability of getting the flu. They conduct a trial on 2000 people. The results are summarized in the contingency table below. Observed Frequencies: Oi's Got No Vaccine Vaccine Totals Got Flu   21     18     39   No Flu   1379     582     1961   Totals   1400     600     2000   The Test: Test for a dependent relationship between getting the vaccine and getting the flu. Conduct this test at...
Flu Vaccine: The Center for Disease Control (CDC) claims that the flu vaccine is effective in...
Flu Vaccine: The Center for Disease Control (CDC) claims that the flu vaccine is effective in reducing the probability of getting the flu. They conduct a trial on 3000 people. The results are summarized in the contingency table below. Observed Frequencies: Oi's Got No Vaccine Vaccine Totals Got Flu 33 32 65 No Flu 1917 1018 2935 Totals 1950 1050 3000 The Test: Test for a dependent relationship between getting the vaccine and getting the flu. Conduct this test at...
Flu Vaccine: The Center for Disease Control (CDC) claims that the flu vaccine is effective in...
Flu Vaccine: The Center for Disease Control (CDC) claims that the flu vaccine is effective in reducing the probability of getting the flu. They conduct a trial on 2000 people. The results are summarized in the contingency table below. Observed Frequencies: Oi's Got No Vaccine Vaccine Totals Got Flu   21     18     39   No Flu   1379     582     1961   Totals   1400     600     2000   The Test: Test for a dependent relationship between getting the vaccine and getting the flu. Conduct this test at...
Pro-choice/Pro-life and Region of the Country: The results of a 2013 Gallup poll about people's position...
Pro-choice/Pro-life and Region of the Country: The results of a 2013 Gallup poll about people's position on abortion (pro-life or pro-choice) by region of the country are summarized in the contingency table below. Observed Frequencies: Oi's    East Midwest South West Totals    Pro-Choice   208   104     169     197     678    Pro-Life   184   92     223     223     722    Totals   392     196     392     420     1400    The Test: Test whether or not there is a dependent relationship between abortion stance and region. Conduct this test...
Win/Loss and With/Without Joe: Joe plays basketball for the Wildcats and missed some of the season...
Win/Loss and With/Without Joe: Joe plays basketball for the Wildcats and missed some of the season due to an injury. The win/loss record with and without Joe is summarized in the contingency table below. Observed Frequencies: Oi's Wins Losses Totals With Joe   15     10     25   Without Joe   6     9     15   Totals   21     19     40   The Test: Test for a significant dependent relationship between the outcome of the game (win/lose) and whether or not Joe played. Conduct this test at the...
Pro-choice/Pro-life and Region of the Country: The results of a 2013 Gallup poll about people's position...
Pro-choice/Pro-life and Region of the Country: The results of a 2013 Gallup poll about people's position on abortion (pro-life or pro-choice) by region of the country are summarized in the contingency table below. Observed Frequencies: Oi's    East Midwest South West Totals    Pro-Choice   215   96     181     184     676    Pro-Life   191   86     239     208     724    Totals   406     182     420     392     1400    The Test: Test whether or not there is a dependent relationship between abortion stance and region. Conduct this test...
Pro-choice/Pro-life and Region of the Country: The results of a 2013 Gallup poll about people's position...
Pro-choice/Pro-life and Region of the Country: The results of a 2013 Gallup poll about people's position on abortion (pro-life or pro-choice) by region of the country are summarized in the contingency table below. Observed Frequencies: Oi's East Midwest South West Totals Pro-Choice   200   96     169     211     676   Pro-Life   178   86     223     237     724   Totals   378     182     392     448     1400   The Test: Test whether or not there is a dependent relationship between abortion stance and region. Conduct this test at the...
8.Pro-choice/Pro-life and Region of the Country: The results of a 2013 Gallup poll about people's position...
8.Pro-choice/Pro-life and Region of the Country: The results of a 2013 Gallup poll about people's position on abortion (pro-life or pro-choice) by region of the country are summarized in the contingency table below. Observed Frequencies: Oi's East Midwest South West Totals Pro-Choice 200 96 175 204 675 Pro-Life 178 86 231 230 725 Totals 378 182 406 434 1400 The Test: Test whether or not there is a dependent relationship between abortion stance and region. Conduct this test at the...