BASIC STATS - MODULE 4

An English teacher wants to test whether a new teaching method improves students' reading comprehension scores. What would the null hypothesis (H0) be in this case?

• The new teaching method does improve students' reading comprehension scores.

• The new teaching method does not improve students' reading comprehension scores.

• Students' reading comprehension scores are unchanged.

• The new teaching method negatively affects students' reading comprehension scores.

An English teacher wants to test whether a new teaching method improves students' reading comprehension scores. What would the alternative hypothesis (H1) be?

• The new teaching method improves students' reading comprehension scores.

• The new teaching method does not improve students' reading comprehension scores.

• Students' reading comprehension scores are unchanged.

• The new teaching method negatively affects students' reading comprehension scores.

If a teacher concludes that the new teaching method improves reading comprehension when it actually does not, what type of error is this?

• Type I Error

• Type II Error

 If a teacher concludes that the new teaching method does not improve reading comprehension when it actually does, what type of error is this?

• Type I Error

• Type II Error

 A researcher finds a p-value of 0.03 when testing the effectiveness of a vocabulary enrichment program. If the significance level (alpha) is set at 0.05, what decision should the researcher make regarding the null hypothesis?

• Accept the null hypothesis

• Reject the null hypothesis

• Increase the sample size

• Change the significance level

What does a p-value represent in hypothesis testing?

• The probability of making a Type I Error

• The probability of making a Type II Error

• The probability of obtaining the observed results, assuming the null hypothesis is true

• The probability that the null hypothesis is true

An English professor sets the significance level (alpha) at 0.01 for a study on the impact of interactive learning tools. What does this signify?

• The study will accept the null hypothesis if the p-value is greater than 0.01.

• The study will reject the null hypothesis if the p-value is less than 0.01.

• The study has a 1% chance of making a Type II Error.

• The study has a 1% chance of being correct.

 If an English teacher sets the significance level (alpha) to 0.10, what is she indicating about the likelihood of a Type I Error?

• She is willing to accept a 10% chance of rejecting a true null hypothesis.

• She is willing to accept a 10% chance of failing to reject a false null hypothesis.

• She is indicating that the results are 10% likely to be true.

• She is setting a high standard for the results to be considered significant.

A p-value of 0.07 is found in a study investigating the impact of digital storytelling on students' narrative writing skills. If the significance level is set at 0.05, what conclusion should be drawn?

• Accept the null hypothesis

• Reject the null hypothesis

• The results are inconclusive

• Increase the sample size and retest

An English teacher wants to compare the average scores of two groups of students on a vocabulary test, one group taught using traditional methods and the other using an interactive app. Which statistical test should be used?

• Chi-square test

• Correlation test

• t-test

• ANOVA