A study is designed to test H0: p = .5 against Ha: p > .5. A...
A study is designed to test H0: p = .5 against Ha: p > .5. A sample size of 100 and a significance level of 0.05 will be used.
If p = .6, find P(Type 2 error).
Homework Answers
| hypothesized proportion po= | 0.5 | |
| true proportion pa= | 0.6 | |
| sample size n= | 100 | |
| standard error of po=√(po*(1-po)/n)= | 0.0500 | |
| standard error of pa=√(pa*(1-pa)/n)= | 0.0490 | |
| 0.05 level and right tailed test critical value Zα=1.645 | ||
| rejection reg:p̂ >=po+Zα*σpo or p̂ >0.5+1.645*0.05 = | 0.5823 | |
| type II error=β=P( p̂ <0.58225|p=0.6)=P(Z<(0.58225-0.6)/0.049)=P(Z<-0.36)=0.3594 |
(please try 03585 if above comes wrong and reply)
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