Use a​ t-test to test the claim about the population mean μ atthe given level of significance alphaα using the given samplestatistics. Assume the population is normally distributed.
​Claim: μ= 51,800; alphaα= 0.05 
Sample​ statistics:
x overbar= 50,889​, s=2800​, n=18
What are the null and alternative​ hypotheses? Choose thecorrect answer below.
A.
H0​: μ= 51,800
Ha​: μ≠51,800
B.
H0​:μ≤ 51,800
Ha​: μ> 51,800
C.
H0​: μ ≥ 51,800
Ha​: μ < 51,800
D.
H0​: μ ≠51,800
Ha​: μ = 51,800
What is the value of the standardized test​ statistic?
The standardized test statistic is? ___ (round to two decimalplaces)
What​ is(are) the critical​ value(s)?
The critical​ value(s) is(are) _____ (round to three decimalplaces as needed.)
Decide whether to reject or fail to reject the nullhypothesis.
A.
Fail to rejectFail to reject H0. There is not enough evidence toreject the claim.
B.
Reject H0. There is not enough evidence to reject the claim.
C.
Reject H0.
There is enough evidence to reject the claim.
D.
Fail to reject H0. There is enough evidence to reject theclaim.
