A researcher collects data on the test scores of students from four different teaching methods: (1) traditional lecture, (2) flipped classroom, (3) online-only, and (4) blended learning. An ANOVA test is performed to compare the mean scores across these groups. The pp-value from the ANOVA output is 0.0320.032. What is the null hypothesis for this ANOVA test? Based on the pp-value, what should you conclude about the null hypothesis, and what does this imply about the mean test scores for the four teaching methods?

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Problem 21Multiple Choice

A researcher collects data on the test scores of students from four different teaching methods: (1) traditional lecture, (2) flipped classroom, (3) online-only, and (4) blended learning. An ANOVA test is performed to compare the mean scores across these groups. The $p$ -value from the ANOVA output is $0.032$ . What is the null hypothesis for this ANOVA test? Based on the $p$ -value, what should you conclude about the null hypothesis, and what does this imply about the mean test scores for the four teaching methods?

The null hypothesis states that at least one teaching method has a different mean score than the others, and since $p equals 0.032$ , we fail to reject the null hypothesis.

The null hypothesis states that all teaching methods have the same mean test scores, and since $p equals 0.032$ , we reject the null hypothesis.

The null hypothesis states that all teaching methods have different mean test scores, and since $p equals 0.032$ , we reject the null hypothesis.

The $p$ -value of $0.032$ means there is no significant difference between the mean test scores of the four teaching methods.

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