Question

For each of the following​ situations, find the critical​ value(s) for z or t. ​

a) H0​: pequals0.8 vs. HA​: pnot equals0.8 at alphaequals0.05
​b) H0​: pequals0.3 vs. HA​: pgreater than0.3 at alphaequals0.01 ​
c) H0​: muequals10 vs. HA​: munot equals10 at alphaequals0.01​; nequals34 ​
d) H0​: pequals0.8 vs. HA​: pgreater than0.8 at alphaequals0.05​; nequals350 ​
e) H0​: muequals20 vs. HA​: muless than20 at alphaequals0.01​; nequals1000

Answer 1

Explanation:

Let us assume z test is being used for all

To find critical values of Z

a) Two tailed test hence Z critical value = 1.96

b) Right tailed test hence Z critical value = 2.33

c) Two tailed test and Z critical value = 2.58

d) Right tailed test at 5% hence z critical value = 1.645

e) Left tailed test and Z critical value = -2.33