MATH 10041 Lecture Notes - Lecture 32: Confidence Interval, Statistical Hypothesis Testing, Test Statistic
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Example: reading intervention: suppose 4th grade children are exposed to a reading intervention program designed to improve scores on a reading assessment. Children were given a pre-test and post-test before and after the reading intervention and the scores are shown in the table below. Assume that all conditions needed to construct the confidence interval are met. Construct a 95% confidence interval for the mean difference in reading score after participating in the program. Based on your confidence interval, do you believe the reading program is effective: the 95% confidence interval for the difference between the pre-test and post-test scores is ( 2. 90, 0. 19). Assume the conditions for conducting a hypothesis test are met. Use a 0. 05 significance level: hypothesize, 2. Prepare we were told to assume the conditions for conducting a hypothesis test. H0: difference = 0 (there is no difference in scores) Ha: difference 0 are met: compute to compare. Since the p-value is less than 0. 05, reject h0.