Applying the P-Value Approach

Please answer the following question using the P value approach. Please describe your answer in detail. The answer details are important to my understanding the P value concept.

A sample of 40 recovering alcoholics was given the State-Trait Anxiety Inventory Test (STAI). The state anxiety score showed a mean of 38 and a standard deviation of 7. A psychologist suspected that recovering alcoholics in general had a higher mean state anxiety than the norm of 35. Do the sample data justify the suspicion? Complete the test with a 5% significant level. Use the p-value approach.

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...ecovering alcoholics in general had a higher mean state anxiety than the norm of 35. Do the sample data justify the suspicion? Complete the test with a 5% significant level. Use the p-value approach.
Solution:

Null hypothesis:
H0: = 35
Alternate hypothesis:
H1: > 35
Step2:
Level of significance:
α= 0.05
Decision rule:
Criterion for rejection of the null hypothesis:
If the P-value of the test ...