Lock, Statistics: Unlocking the Power of Data, 2e Help I System Announcements VE

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Lock, Statistics: Unlocking the Power of Data, 2e Help I System Announcements VERSION BACK Testing for a Gender Difference in Compassionate Rats A study was conducted in which rats showed compassion by freeing a trapped rat. In the study, all six of the six female rats showed compassion by freeing the trapped rat while 17 of the 24 male rats did so. We found a 95% confidence interval for the difference in proportion of rats showing compassion, using the proportion of female rats minus the proportion of male rats, to be 0.104 to 0.480. In testing whether there is a difference in these two proportions: (a) What are the null and alternative hypotheses? Let group 1 be the group of female rats showing compassion and let group 2 be the group of male rats showing compassion. 0" 5 6 !

Explanation / Answer

Solution:-

a) State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: P1 = P2
Alternative hypothesis: P1 P2

Note that these hypotheses constitute a two-tailed test.

b) Interpret results. Reject the H0, Because confidence interval does not include 0.

c) Formulate an analysis plan. For this analysis, the significance level is 0.05.

d) Female rat slikely to show more compassion.

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