In a randomized study, the use of chewing gum during studying was used to see if increased a test score when the test was retaken. Group 1 chewed gum during studying and 78 out of 90 got a better grade on the retake. Group 2 did not chew gum during studying and 131 out of 166 got a better grade on the retake. a. At the 5% significance level, can we conclude that the results of the retake while chewing gum was different than the results with not chewing gum during studying? State the null and alternate hypothesis, find the test statistic and p-value, and state the decision. b. If you were to find the confidence interval for the differences in these two proportions that supported your decision, should 0 be in the interval? Why or why not?
In a randomized study, the use of chewing gum during studying was used to see if increased a test score when the test was retaken. Group 1 chewed gum during studying and 78 out of 90 got a better grade on the retake. Group 2 did not chew gum during studying and 131 out of 166 got a better grade on the retake.
a. At the 5% significance level, can we conclude that the results of the retake while chewing gum was different than the results with not chewing gum during studying? State the null and alternate hypothesis, find the test statistic and p-value, and state the decision.
b. If you were to find the confidence interval for the differences in these two proportions that supported your decision, should 0 be in the interval? Why or why not?
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