The pvalue of a test is the Smallest at which the null hyp

The p-value of a test is the :

Smallest ? at which the null hypothesis can be rejected

Smallest ? at which the null hypothesis cannot be rejected

Largest ? at which the null hypothesis cannot be rejected

Largest ? at which the null hypothesis can be rejected

he MINITAB output gives a 95% confidence interval for the mean temperature µ at which a chemical reaction occurs.

  MTB > tinterval 95 c1                 N      MEAN    STDEV  SE MEAN   95.0 PERCENT C.I.  C1          20    30.509    2.126    0.475  (  29.514,  31.505)

Consider testing the hypothesis H₀: µ = 31 against the alternative hypothesis H₁: µ not equal to 31.
Which ONE of the following is TRUE?

Set Up Hypothesis
Null, H0: U=31
Alternate, H1: U!=31
Test Statistic
Population Mean(U)=31
Sample X(Mean)=30.509
Standard Deviation(S.D)=0.475
Number (n)=20
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =30.509-31/(0.475/Sqrt(19))
to =-4.623
| to | =4.623
Critical Value
The Value of |t | with n-1 = 19 d.f is 2.093
We got |to| =4.623 & | t | =2.093
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
P-Value :Two Tailed ( double the one tail ) -Ha : ( P != -4.6228 ) = 0.0002
Hence Value of P0.05 > 0.0002,Here we Reject Ho

Q1.
B There is sufficient evidence to reject H0

D The observed sample mean of 30.509 is significantly different from the population mean of 31

Q2.
A
Smallest at which the null hypothesis can be rejected

The p-value of a test is the : Smallest ? at which the null hypothesis can be rejected Smallest ? at which the null hypothesis cannot be rejected Largest ? at w

The pvalue of a test is the Smallest at which the null hyp

Solution

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