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The Teacher Noticed That 15 Out of 21 Girls Read

Question 16

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The teacher noticed that 15 out of 21 girls read more than 90 words per minute by the end of the second grade, while only 8 out of 18 boys showed the same result. The null hypothesis is that the proportions of girls and boys who read more than 90 words per minute are equal. Calculate the two-sided P-value and make the following conclusion at α = 0.05 using the output of the Shiny app "Randomization Test for Two Proportions". ​


A) 0.03 < P-value < 0.05. There is convincing evidence of a difference in the population proportions for girls and boys.
B) 0.03 < P-value < 0.05. There is convincing evidence that the proportion of girls is greater than the proportion of boys.
C) 0.05 < P-value < 0.1. There is convincing evidence that the two population proportions are equal.
D) 0.05 < P-value < 0.1. There is no convincing evidence of a difference in the population proportions for girls and boys.
E) 0.1 < P-value < 0.5. There is no convincing evidence that the proportion of girls is greater than the proportion of boys.

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