# Use technology and a t-test to test the claim about the population mean at the given level of significance using the given sample statistics. Assume…

Use technology and a t-test to test the claim about the population mean μat the given level of significance α using the given sample statistics. Assume the population is normally distributed.

Claim: μ>76  α=0.05

Sample Statistics: x=77.5 ,s=3.2,n=29

What are the null and alternativehypotheses? Choose the correct answer below.

A.

H0:μ≥76

HA:μ<76

B.

H0:μ≤76

HA:μ>76

C.

H0:μ=76

HA:μ≠76

D.

H0:μ≠76

HA:μ=76

What is the value of the standardized test statistic?

The standardized test statistic is [   ] (Round to two decimal places as needed.)

What is the P-value of the test statistic?

P-value=[   ]

(Round to three decimal places asneeded.)

Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.

A.

Fail to reject H0. There is not enough evidence to support the claim.

B.

Reject H0. There is not enough evidence to support the claim.

C.

Reject H0. There is enough evidence to support the claim.

D.

Fail to reject H0. There is enough evidence to support the claim.

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