can we use a z-test to conduct a hypothesis test? Why? Why not?
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A national organization sets out to investigate the change in prevalence of HIV since the last census in 2010. A total of 100 participants were interviewed and HIV prevalence in the sample is 7.5%. Assume that the data from the 2010 census indicated that the prevalence of HIV in the particular population was 5%. In order to test whether the prevalence of HIV now is significantly different from the HIV prevalence in 2010 at 95% confidence level, can we use a z-test to conduct a hypothesis test? Why? Why not?
Group of answer choices
Yes, we cannot use a z-test since ??0?0 = 100*0.075*(1-0.075)=6.93 > 5
Yes, we can use a z-test since ??0?0 = 100*0.05*(1-0.05)=4.75 < 5
Yes, we can use a z-test since ??0?0 = 100*0.075*(1-0.075)=6.93 > 5
No, we cannot use a z-test since ??0?0 = 100*0.05*(1-0.05)=4.75 < 5
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