Question: A recent article in an online newspaper stated that the average US adult eats µ =18.5 pounds of seafood each year. The standard deviation for this data is known: \(\sigma \) = 1.69 pounds. A sample 78 US adults in the certain US state showed a mean of x= 17.7 pounds per year. At the 5% level of significance, is there enough evidence to support the claim that US adults in this state eat less seafood than the national average?

Ha: \(\mu \ge 18.5\)

H1:

= 0.05

Distribution: z-distribution

Test Statistic z = -4.18

P-value p = 0.000

Decision on H0: Reject Ho

Interpretation: We have enough evidence to support the claim that there is enough evidence to support the claim that US adults in this state eat less seafood than the national average.