In: Math
You wish to test the following claim ( H a ) at a significance level of α = 0.005 . H o : p = 0.71 H a : p ≠ 0.71 You obtain a sample of size n = 293 in which there are 187 successful observations. Determine the test statistic formula for this test. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
We have for given example,
Population proportion value is =0.71
x=187
n=293
Level of significance = 0.005
Estimate for sample proportion
Z test statistic formula for proportion
P-value=0.0068 ............We can use here Z table or
Excel command =2*NORMSDIST(-2.708)
Decision:Do not reject H0 at