In a survey of 440 HIV positive smokers, 166 reported that they had used a nicotine patch to try to quite smoking. Can you conclude that less than half of HIV-positive smokers have used a nicotine patch? Use the a= 0.05 level of significance.

Step1: identify the claim and write it in symbolic form.

Step2: identify the null and alternative hypotheses.

Step3: identify the significant level.

Step4 determine the relevant statistic and its sampling distribution.

Step5: what are the z score and p-value.

Step6: sketch the sampling distribution of your study. Make sure that you label your x-axis, center of measure, and shade the p-value.

Step7: explain why you reject the null or fail to reject the null.

Step8: state your conclusion of the claim.