PS.IS.1.f.iii
calculate and interpret the 𝑝-value using technology;
Example Problems
A delivery company previously had 25% of shipments arrive late. After routing changes, they test versus , where is the proportion of late shipments with the new system.
They take a random sample of 160 shipments and find that 32 arrived late.
Write the expression for the P-value of their test.
They take a random sample of 160 shipments and find that 32 arrived late.
Write the expression for the P-value of their test.
A manufacturer historically had 12% of items fail final inspection. After process improvements, they want to test versus , where is the proportion of items that fail after the change.
They inspected a random sample of 120 items and found that 9 failed.
Write the expression for the P-value of their test.
They inspected a random sample of 120 items and found that 9 failed.
Write the expression for the P-value of their test.
A restaurant estimates that 18% of dinner orders are vegetarian. After adding new vegetarian options, they want to test versus , where is the proportion of dinner orders that are vegetarian.
They take a random sample of 200 orders and find that 46 are vegetarian.
Write the expression for the P-value of their test.
They take a random sample of 200 orders and find that 46 are vegetarian.
Write the expression for the P-value of their test.

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