Ten different families are tested for thenumber of gallons of water they use eac

Question

Ten different families are tested for thenumber of gallons of water they use each day before andafter viewing a conservation video. We wantto see if there is strong evidence that the conservation videochanges people's water consumption rate. At-test of the null hypothesis of no difference has a test statisticof 2.894 with a P-value of 0.0163. Interpretthis result by explaining the meaning of theP-value. A)If there is a difference in water consumption rates after viewingthe conservation video, the chance of seeing a difference as largeor larger than the one observed is about1.63%. B) If there is no difference inwater consumption rates after viewing the conservation video, thechance of seeing a difference as large or larger than the oneobserved is about 1.63%. C)If there is a difference in water consumption rates after viewingthe conservation video, 1.63% of the samples will show adifference. D)If there is a difference in water consumption rates after viewingthe conservation video, the chance of seeing no difference in oursample is about 1.63%.
E) If there is no difference in water consumption rates afterviewing the conservation video, then our sample data shows thatthere is a 1.63% probability that there is nodifference. Ten different families are tested for thenumber of gallons of water they use each day before andafter viewing a conservation video. We wantto see if there is strong evidence that the conservation videochanges people's water consumption rate. At-test of the null hypothesis of no difference has a test statisticof 2.894 with a P-value of 0.0163. Interpretthis result by explaining the meaning of theP-value. A)If there is a difference in water consumption rates after viewingthe conservation video, the chance of seeing a difference as largeor larger than the one observed is about1.63%. B) If there is no difference inwater consumption rates after viewing the conservation video, thechance of seeing a difference as large or larger than the oneobserved is about 1.63%. C)If there is a difference in water consumption rates after viewingthe conservation video, 1.63% of the samples will show adifference. D)If there is a difference in water consumption rates after viewingthe conservation video, the chance of seeing no difference in oursample is about 1.63%.
E) If there is no difference in water consumption rates afterviewing the conservation video, then our sample data shows thatthere is a 1.63% probability that there is nodifference.

Explanation / Answer

The answer is B)If there is no difference inwater consumption rates after viewing the conservation video, thechance of seeing a difference as large or larger than the oneobserved is about 1.63%.. This is because p-value is theprobability of observing the given test statistic or one moreextreme given the null hypothesis is true.

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