HPV Vaccine. In the article "Correlates for Completic 3-dose Regimen of HPV Vaccine in Female Members of a Man Care Organization" (Mayo Clinical Proceedings, Vol. 84, Pp. 870 ), C. Chao et al. examined factors that may influence wh young female patients complete a three-injection sequence of the dasil quadrivalent human papillomavirus vaccine (HPV4). HPV virus that has been linked to the development of cervical cancer. following contingency table summarizes the data obtained for ' pletion of treatment versus practice type.

a.

Check whether or not the data provide sufficient evidence to conclude that an association exists between completion of treatment and practice type at 5% significance level.

Step 1:

The test hypotheses are given below:

Null hypothesis:

H0 : There is no association exists between completion of treatment and practice type.

Alternative hypothesis:

H1 : There is an association exists between completion of treatment and practice type.

Step 2: Decide the level of significance.

Here, the level of significance is, 1%.

Step 3:

Find the expected frequency and test statistic.

MINITAB procedure:

Step 1: Choose Stat > Tables > Chi-Square Test (Two-Way Table in Worksheet).

Step 2 : In Columns containing the table, enter the columns of Yes and No.

Step 3: Click OK.

Step 4:

Find the P-value.

From the MINITAB output, the P-value is 0.015

Step 5:

Rejection rule:

If P-value $\le \alpha$, then reject the null hypothesis.

Here, the P-value is lesser than the level of significance.

That is, P-value $(=0.015)<\alpha (=0.05)$.

Therefore, the null hypothesis is rejected at 5% level.

Thus, the results are statistically significant at 5% level of significance.

The data do not provide sufficient evidence to conclude that an association exists between completion of treatment and practice type at the 1% significance level.