Question

A 2005 study investigated hand washing behaviour in public washrooms in two major US cities: Atlanta and New York. A random observation of 1427 people in Atlanta found that 73% of them washed their hands before leaving a public washroom, whereas a random observation of 1530 people in New York found that 76% of them washed their hands before leaving a public washroom. Test the claim that the proportion of hand washers is smaller in Atlanta than in New York. For each significance level below determine if your null hypothesis should be rejected at the stated value. • For a = 0.01 we Choose... A • For a = 0.025 we Choose... • For a = 0.05 we Choose... • For a = 0.10 we Choose...

Answer 1

Summary :

1) For $\alpha$ = 0.01,

Since P value = 0.03074 > 0.01, therefore accept H₀.

2) For $\alpha$ = 0.025,

Since P value = 0.03074 > 0.025, therefore accept H₀.

3) For $\alpha$ = 0.05,

Since P value = 0.03074 < 0.05, therefore reject H₀.

4) For $\alpha$ = 0.10,

Since P value = 0.03074 < 0.10, therefore reject H₀.