Question

for each of the following situations find the critical value(s) for z or t?

a) H0​: p equals 0.7 vs. HA​: p not equals 0.7 at alpha equals 0.01
​b) H0​: p equals. 0.3 vs. HA​: p greater than 0.3 at alpha equals 0.01
​c) H0​: mu equals. 20 vs. HA​: mu not equals 20 at alpha equals 0.01​; n equals 30
​d) H0​: p equals. 0.7 vs. HA​: p greater than 0.7 at alpha equals 0.10​; n equals 350
​e) H0​: muequals 30 vs. HA​: mu less than 30 at alpha equals 0.01​; n equals 1000

Answer 1

solution a Here Hoop=0.7 vs Hip to 7, Q=0.01 - use z- tables, a- tailed test. critical value = €2.576, 2-576) b) Here Ho=p=0.3, Hop 203, 2=0.01 use 2-tables, Right-tailed test 33 2 = عيله لعلي ( Here Ho M=20 is ta u720, d=0.01 n=30 here n is small, so use t-tables. criticat dalies df=n-1=30-1=29, 2-tailed Critical value =(-2-76, 2-76) d) Ho=P=0-7, vs ta =P >0.7, d=01, n=350 use z-tables, Right tailed Test critical value = 1.282 e here to = "=30 as the u230, d=000), n=1000 here n is large, left-tailed, so use z-tables. critical value = -2-326