Suppose a researcher is interested in a new treatment plan for increasing CD4 ce

Question

Suppose a researcher is interested in a new treatment plan for increasing CD4 cell count in immune-compromised patients with HIV. In order to investigate the new drug, the researcher gathers a group of 48 individuals with a mean CD4 count of 317 cells/mm3 after treatment with a standard deviation of 24.6. Assume that µ = 275 cells/mm3. Test the hypothesis to see whether the mean CD4 count has increased. Use an alpha level of 0.05 and remember to include all hypothesis testing steps. Hint: Use the z-test

Explanation / Answer

Ho: µ=275,

Ha: µ>275

n=49

x^=275

mean =317

Z =(x^-mean )/ standard deviation =( 275-317)/24.6 =-1.707

p(z<-1.707)=0.0466 from standard z table

pvalue < alpha 0.05
given the null hypothesis were true.

reject ho

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