Mathematics, 17.03.2020 04:27 oofoofoof1
A researcher wants to test the claim that the proportion of boys who play with blocks regularly is greater than the proportion of girls who play with blocks regularly. She finds that 23 of 51 randomly selected boys and 17 of 23 randomly selected girls report playing with blocks regularly. A 98% confidence interval for the difference in population proportions is (β0.5558, β0.0205). Which of the statements gives the correct outcome of the researcher's test of the claim?
a. The researcher cannot draw a conclusion about a claim without performing a significance test.
b. Because the confidence interval is negative, the researcher can conclude the proportion of boys and girls who play with blocks regularly is the same.
c. Because the confidence interval is negative, the researcher can conclude the proportion of boys and girls who play with blocks regularly may be the same.
d. Because the confidence interval is negative, the researcher can conclude there is a greater proportion of boys who play with blocks regularly.
e. Because the confidence interval is negative, the researcher can conclude there is a greater proportion of girls who play with blocks regularly.
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