1 I hypothesized that girls in my class have the same blood

1. I hypothesized that girls in my class have the same blood pressure levels as boys. The probability value for my null hypothesis was 0.15. So I conclude that the blood pressures of the girls were higher than boys’. Which kind of mistake did I make?

a. Type I error

b. Type II error

c. Type I and Type II error

d. I did not make any mistake

2. Among 724 patients treated with a new medication for ADHD, 72 experienced nausea as an adverse reaction. Use a 0.05 significance level to test the claim that the rate of nausea is greater than the 6% rate experienced by patients treated with a placebo. Does nausea appear to be a concern for those given the new medication? Be sure to include hypotheses, test statistic z, and decision.

Please Show all necessary work for #2. Thanks

Solution

Q1.
a. Type I error

Decision made to reject Ho, Type I Error always rejecct Ho when it is true

Q2.
Set Up Hypothesis
Null, H0:P=0.06
Alternate, H1: P>0.06
Test Statistic
No. Of Success chances Observed (x)=72
Number of objects in a sample provided(n)=724
No. Of Success Rate ( P )= x/n = 0.0994
Success Probability ( Po )=0.06
Failure Probability ( Qo) = 0.94
we use Test Statistic (Z) for Single Proportion = P-Po/Sqrt(PoQo/n)
Zo=0.09945-0.06/(Sqrt(0.0564)/724)
Zo =4.4694
| Zo | =4.4694
Critical Value
The Value of |Z | at LOS 0.05% is 1.64
We got |Zo| =4.469 & | Z | =1.64
Make Decision
Hence Value of | Zo | > | Z | and Here we Reject Ho
P-Value: Right Tail - Ha : ( P > 4.4694 ) = 0
Hence Value of P0.05 > 0,Here we Reject Ho