The human papillomavirus associated with the development of cervical cancer, genital warts, and some less common cancers. John Hopkins conducted a study to investigate the characteristics of female patients who came to their clinics between 2006 and 2008 to begin the three-shot regimen of vaccinations with the anti-human papillomavirus (HPV) medication Gardasil. A contingency table summarizing the vaccine completions by race is provided below. Do the data provide enough evidence to show that there is an association between race and vaccine completion? Test at the 5% level and round expected values to one decimal place. Vaccine Completed? No (Observed) No (Expected Value) Yes (Observed) Yes (Expected Value) Row Total African-American 331 14 345 Hispanic 104 451 555 Caucasian 31 280 311 Column Total 466 745 1211
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The human papillomavirus associated with the development of cervical cancer, genital warts, and some less common cancers. John Hopkins conducted a study to investigate the characteristics of female patients who came to their clinics between 2006 and 2008 to begin the three-shot regimen of vaccinations with the anti-human papillomavirus (HPV) medication Gardasil. A
| Vaccine Completed? | No (Observed) | No (Expected Value) | Yes (Observed) | Yes (Expected Value) | Row Total |
| African-American | 331 | 14 | 345 | ||
| Hispanic | 104 | 451 | 555 | ||
| Caucasian | 31 | 280 | 311 | ||
| Column Total | 466 | 745 | 1211 |
H: Hypotheses
Ho:Ho:Select an answer Ethnicity vaccine completion vaccines No and Select an answer Vaccine Completed? vaccine completion vaccines Yes are Select an answer independent dependent
Ha:Ha:Select an answer Ethnicity vaccine completion vaccines No and Select an answer Vaccine Completed? vaccine completion vaccines Yes are Select an answer independent dependent
Original Claim: Select an answer H₀ H₁
Enter the critical values, along with the significance level and degrees of freedom χ2χ2(αα,df) below the graph. (Graph is for illustration only. No need to shade.)
Test Statistic χ2χ2 = (Round to three decimal places.)
P-value = (Round to four decimal places.)
Decision: Select an answer reject H₀ fail to reject H₀ accept H₀ reject Hₐ fail to reject Hₐ .
Conclusion:
There Select an answer is is not significant evidence to conclude that Select an answer Ethnicity vaccine completion vaccines No and Select an answer Vaccine Completed? vaccine completion vaccines Yes are Select an answer independent dependent .
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