A local school board wants to determine if the proportion of households in the district that would support starting the school year a week earlier has changed from the previous year. Last year, the school board determined that 65% of households supported starting school earlier. They ask a random sample of 100 households this year, and 70% state they would support starting the school year earlier. The P-value for the test of the hypotheses, Hoip = 0.65 and H, p = 0.65, is 0.29. What is the correct interpretation of this value?

MATLAB: An Introduction with Applications
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A local school board wants to determine if the proportion of households in the district that would support
starting the school year a week earlier has changed from the previous year. Last year, the school board
determined that 65% of households supported starting school earlier. They ask a random sample of 100
households this year, and 70% state they would support starting the school year earlier. The P-value for the
test of the hypotheses, Hoip = 0.65 and H, p = 0.65, is 0.29. What is the correct interpretation of this value?
Only 29% of households in this sample approve of starting school earlier.
Assuming 65% of households would support starting school earlier, there is a 0.29 probability of getting a
sample proportion of 0.70 or more different from 0.65.
O Assuming 65% or more households would support starting school earlier, there is a 0.29 probability of
getting a sample proportion of 0.70 or more different from 0.65.
O Assuming this sample was collected correctly, the probability of getting 70 households out of 100 that would
support starting school earlier is 0.29 if 65% of households truly support starting school earlier.
Transcribed Image Text:A local school board wants to determine if the proportion of households in the district that would support starting the school year a week earlier has changed from the previous year. Last year, the school board determined that 65% of households supported starting school earlier. They ask a random sample of 100 households this year, and 70% state they would support starting the school year earlier. The P-value for the test of the hypotheses, Hoip = 0.65 and H, p = 0.65, is 0.29. What is the correct interpretation of this value? Only 29% of households in this sample approve of starting school earlier. Assuming 65% of households would support starting school earlier, there is a 0.29 probability of getting a sample proportion of 0.70 or more different from 0.65. O Assuming 65% or more households would support starting school earlier, there is a 0.29 probability of getting a sample proportion of 0.70 or more different from 0.65. O Assuming this sample was collected correctly, the probability of getting 70 households out of 100 that would support starting school earlier is 0.29 if 65% of households truly support starting school earlier.
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