Answer the following questions with TRUE or FALSE. It is good practice to explai

Question

Answer the following questions with TRUE or FALSE. It is good practice to explain your answer.

(a) The upper bound of a Wilson-Adjusted condence interval for p can be above 1.

(b) If we create 4 condence intervals for pairwise dier-ence in means, we should correct t/2 to t/4 when we use the familywise/simultaneous/Bonferroni cor-rection.

(c) If we fail to reject the null hypothesis of ANOVA, all pairwise (familywise/simultaneous/Bonferroni) con-dence intervals comparing group means will contain the value 0.

(d) For a condence interval for a proportion, we must assume our sample data is normally distributed.

Explanation / Answer

(a) The upper bound of a Wilson-Adjusted condence interval for p can be above 1

False, p<=1

(b) If we create 4 condence intervals for pairwise dier-ence in means, we should correct t/2 to t/4 when we use the familywise/simultaneous/Bonferroni cor-rection.

True. We should correct talpha/2 to talpha/4

(c) If we fail to reject the null hypothesis of ANOVA, all pairwise (familywise/simultaneous/Bonferroni) con-dence intervals comparing group means will contain the value 0.

False, since rejecting null hypothesis means the means are not equal or they have not come form the same population

d)For a condence interval for a proportion, we must assume our sample data is normally distributed..

False, not necessarily since confidence interval can be on any distribution

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