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Answer:
a) Alternative hypothesis,
b) z = -2.91, Pvalue = 0.002
c)Option C. Reject H_0. There is enough evidence at the 1% level of significance to reject the claim.
Step-by-step explanation:
a) Null hypothesis,
Alternative hypothesis,
b) Standardized test statistic
Level of significance,
z = -2.91
Checking the p-value that corresponds to z = -2.906
P-value = 0.002
c) What is the proper decision
P-value = 0.002
Level of significance, α = 0.01
0.002 < 0.01
Since Pvalue < α, the null hypothesis H₀ should be rejected.
Option C is the correct option.