The graduation rate from high school in a certain county is 76%. A school in that county wants to know if its graduation rate is significantly lower than the county rate. They take a random sample of 300 of the seniors who graduated last year, and find that 223 out of those 300 graduated. What set of hypotheses should be tested in this case?

A health provider saw that 48% of their members received their flu shot in recent years. The health care provider tried a new advertising strategy the following year, and they took a sample of members to test if the proportion who received their flu shot had changed.   Determine the null and alternative hypothesis

In 1948, an organization surveyed 1100 adults and​ asked, "Are you a total abstainer​ from, or do you on occasion​ consume, alcoholic​ beverages?" Of the 1100 adults​ surveyed, 429 indicated that they were total abstainers. In a recent​ survey, the same question was asked of 1100 adults and 363 indicated that they were total abstainers. Determine the​ P-value for this hypothesis test.

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 75% state they would support starting the school year earlier. The P-value for the test of the hypotheses,  and , is 0.04. What is the correct conclusion given ? Because the P-value is less than , the school board should reject H0. Because the P-value is less than , the school board should fail to reject H0. Because the P-value is greater than , the school board should reject H0. Because the P-value is greater than , the school board should fail to reject H0.