HS.D.2.k
Understand what constitutes statistical significance. Interpret statistical significance in the context of a situation and answer investigative questions appropriately.
Example Problems
Roshanda suspects that teachers in her state, on average, have less than 5 years experience. She wants to take a random sample of teachers to determine if there is convincing evidence to support her suspicion.
Let represent the average years of experience for teachers in Roshanda's state.
State the null hypothesis, , for Roshanda's significance test.
Let represent the average years of experience for teachers in Roshanda's state.
State the null hypothesis, , for Roshanda's significance test.
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.
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