(For Biostatistics) H 0 : µ = 20; H A : µ < 20s = 24.6 n = 28 x = 8.25 = .05 Whi
ID: 3381466 • Letter: #
Question
(For Biostatistics) H0: µ = 20; HA: µ < 20s = 24.6 n = 28 x = 8.25 = .05 Which of the following statements best characterizes the result of this test??
The null hypothesis is rejected because the obtained value is greater than the critical value.
The null hypothesis is rejected because the obtained value is less than the critical value.
The null hypothesis is not rejected because the obtained value is greater than the critical value.
The null hypothesis is not rejected because the obtained value is less than the critical value.
The null hypothesis is rejected because the obtained value is greater than the critical value.
The null hypothesis is rejected because the obtained value is less than the critical value.
The null hypothesis is not rejected because the obtained value is greater than the critical value.
The null hypothesis is not rejected because the obtained value is less than the critical value.
Explanation / Answer
Set Up Hypothesis
Null Hypothesis H0: U=20
Alternate Hypothesis H1: U<20
Test Statistic
Population Mean(U)=20
Given That X(Mean)=8.25
Standard Deviation(S.D)=24.6
Number (n)=28
we use Test Statistic (Z) = x-U/(s.d/Sqrt(n))
Zo=8.25-20/(24.6/Sqrt(28)
Zo =-2.5274
| Zo | =2.5274
Critical Value
The Value of |Z | at LOS 0.05% is 1.64
We got |Zo| =2.5274 & | Z | =1.64
Make Decision
Hence Value of | Zo | > | Z | and Here we Reject Ho
P-Value : Left Tail - Ha : ( P < -2.5274 ) = 0.0057
Hence Value of P0.05 > 0.0057, Here we Reject Ho
he null hypothesis is rejected because the obtained value is greater than the critical value.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.