Question

6)

A poll found that 74% of Americans favor mandatory testing in public schools as a way to rate the school. A local school board conducted a random survey to determine if a smaller proportion of residents in their district supported the use of mandatory testing. They found that 68% of the residents were in favor.

The sample data was used to test the hypotheses: Ho: p=0.74; Ha: p<0.74. The P-value is 0.32.

Which conclusion is supported by this P-value?

Group of answer choices

The sample evidence is not unusual when sampling from a population with p = 0.74, and the data is not statistically significant.

The sample evidence is not unusual when sampling from a population with p = 0.74, and the data is statistically significant.

The sample evidence is unusual when sampling from a population with p = 0.74, and the data is not statistically significant.

The sample evidence is unusual when sampling from a population with p = 0.74, and the data is statistically significant.

Answer 1

The sample evidence is not unusual when sampling from a population with p = 0.74, and the data is not statistically significant.

[ explanation:-

p value = 0.32

decision:-

p value = 0.32 > 0.05 (alpha) [ here, no level of significance is mentioned,so i am using alpha=0.05, but if you use alpha=0.10 or 0.01, you will reach to the same decision ]

so, we fail to reject the null hypothesis and conclude that the result is not statistically significant.]

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