Test the claim about the population​ mean, μ​, at the given level of significance using the given sample statistics. ​Cl

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Test the claim about the population​ mean, μ​, at the givenlevel of significance using the given sample statistics.​Claim:μ=30​;α=0.09​;σ=3.21. Sample​ statistics: x=28.7​,n=75
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Part 1Identify the null and alternative hypotheses. Choose thecorrect answer below.
A. H0​: μ=30
Ha​: μ≠30
B. H0​: μ≠30
Ha​: μ=30
C. H0​: μ>30
Ha​: μ=30
D. H0​: μ=30
Ha​: μ<30
E. H0​: μ<30
Ha​: μ=30
F. H0​: μ=30
Ha​: μ>30
Part 2
Calculate the standardized test statistic.
The standardized test statistic is
enter your response here.
​(Round to two decimal places as​ needed.)
Part 3
Determine the critical​ value(s). Select the correct choicebelow and fill in the answer box to complete your choice.
​(Round to two decimal places as​ needed.)
A.The critical values are
±enter your response here.
B.The critical value is
enter your response here.
Part 4
Determine the outcome and conclusion of the test. Choose thecorrect answer below.
A. Fail to reject H0. At the 9​%significance​ level, there is not enough evidence toreject the claim.
B. Reject H0.At the 9​% significance​ level, there isenough evidence to support the claim.
C. Fail to reject H0. At the 9​%significance​ level, there is not enough evidence tosupport the claim.
D. Reject H0. At the 9​% significance​ level, there isenough evidence to reject the claim.