Mr. Tabor believes that less than 75% of the students at his school completed their math homework last night. The math teachers inspect the homework assignments from a random sample of 50 students at the school. The math teachers inspect the homework assignments from a random sample of 50 students at the school. Only 68% of the students completed their math homework. A significance test yields a P-value of 0.1265.
Interpret the P-value.
• The probability that the null hypothesis is true is 0.1265.
• The probability that the alternative hypothesis is true is 0.1265.
• The probability of getting a sample proportion of 0.68 or more is 0.1265.
• Assuming that the proportion of all students at Mr. Tabor's school who completed their homework last night is 0.75, there is a 0.1265 probability of getting a sample proportion of 0.68 or less just by chance in a random sample of 50 students at the school
• Assuming that the proportion of all students at Mr. Tabor's school who completed their homework last night is 0.75, there is a 0.1265 probability of getting a sample proportion of 0.68 or more just by chance in a random sample of 50 students at the school.
