What it would mean for the null hypothesis to be true in this setting?
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. Only 68% of the students completed their math homework.
We want to test ?0:?=0.75;??:?<0.75H0:p=0.75;Ha:p<0.75, where ?p = the true proportion of the students at Mr. Tabor’s school who completed their math homework last night. A significance test yields a ?P-value of 0.1265.
What it would mean for the null hypothesis to be true in this setting?
1. Mr. Tabor’s students complete 75% of their homework last night.
2.cIf ?0:?=0.75H0:p=0.75 is true, then the proportion of the homework that the students at Mr. Tabor’s school completed last night is 0.75.
3. If ?0:?=0.75H0:p=0.75 is true, then the proportion of the sample who completed their homework last night is 0.75.
4. If ?0:?=0.75H0:p=0.75 is true, then the proportion of all students at Mr. Tabor’s school who completed their homework last night is 0.75.
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