Historically, 72% of students who take the PREPWell SAT preparation course improve their scores (where "improvement" denotes a score increase of at least 10 points). A new version of the PREPWell course is tested on a random sample of students, and 75% of them improve their scores. The PREPWell company is conducting a hypothesis test to determine whether the new version of the course actually gives better results. The hypotheses are H0: p = 0.72 Ha: p > 0.72 where p = the proportion of all students taking the new version of the PREPWell course that will improve their SAT scores For each description below, choose from the drop-down list to indicate which decision (A, B, or C) corresponds
Historically, 72% of students who take the PREPWell SAT preparation course improve their scores (where "improvement" denotes a score increase of at least 10 points). A new version of the PREPWell course is tested on a random sample of students, and 75% of them improve their scores. The PREPWell company is conducting a hypothesis test to determine whether the new version of the course actually gives better results. The hypotheses are
H0: p = 0.72 Ha: p > 0.72
where p = the proportion of all students taking the new version of the PREPWell course that will improve their SAT scores
For each description below, choose from the drop-down list to indicate which decision (A, B, or C) corresponds to it. (Each decision choice can be used once, more than once, or not at all.)
Possible decisions:
A. Reject the null hypothesis B. Do not reject the null hypothesis C. Accept the null hypotheses
- Even though the proportion of students with improved scores for our sample is higher than 72%, its value was considered plausible to have happened by random chance. A. reject the null hypothesisB. fail to reject the null hypothesisC. accept the null hypothesis
- The new version of the course may be better, but we did not have strong enough evidence to come to that conclusion. A. reject the null hypothesisB. fail to reject the null hypothesisC. accept the null hypothesis
- If the true proportion of students who will improve their scores (with PREPWell) is actually still 72%, the likelihood of obtaining a sample statistic as extreme as 75% (or even more extreme), merely by random sampling variability, is so low that we believe the true proportion who will improve their scores has increased above 72
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