thank you! this was all I was given

Table 1.8: Ethiopia HIV and condom use data. Data source is Aseffa et al. (1998). HIV Positive Negative Total Never 135 434 569 Condom Ever 15 9 24 Total 150 443 539Aseffa et al. (1998) examine the prevalence of HIV among women visiting health care clinics in northwest Ethiopia. Along with testing individuals for HIV, additional information was collected on each woman such as condom use. Table 1.8 gives a contingency table summarizing the data. (a) Calculate the Wald and Agresti-Caffo confidence intervals for the difference in probabilities of being HIV positive based on condom use. Interpret the intervals. (b) Perform a score test, Pearson chi-square test, and LRT to test for the equality of the success probabilities. (c) Estimate the odds ratio and calculate the corresponding confidence interval for it. Interpret the estimate and the interval