Because library books are read many times, glue is often applied to the spine of a book to keep the pages tight. A glue is considered successful if a book lasts at least 6 months before needing to be reglued. Two brands of glue, G and K, were tested to determine whether there was a difference in the proportion of books lasting at least 6 months. Let pGpG represent the proportion of books lasting at least 6 months when glued with G, and let pKpK represent the proportion of books lasting at least 6 months when glued with K. The following hypothesis test was conducted at the significance level of α=0.01α=0.01. H0:pG=pKHa:pG≠pKH0:pG=pKHa:pG≠pK All conditions for inference were met, and the resulting pp-value was 0.006. Which of the following is the correct decision for the test?

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Author:Amos Gilat
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Because library books are read many times, glue is often applied to the spine of a book to keep the pages tight. A glue is considered successful if a book lasts at least 6 months before needing to be reglued. Two brands of glue, G and K, were tested to determine whether there was a difference in the proportion of books lasting at least 6 months. Let pGpG represent the proportion of books lasting at least 6 months when glued with G, and let pKpK represent the proportion of books lasting at least 6 months when glued with K. The following hypothesis test was conducted at the significance level of α=0.01α=0.01.

H0:pG=pKHa:pG≠pKH0:pG=pKHa:pG≠pK

All conditions for inference were met, and the resulting pp-value was 0.006. Which of the following is the correct decision for the test?

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