Question

In: Statistics and Probability

For each of the scenarios below construct a decision chart (correct and incorrect decisions) similar to...

For each of the scenarios below construct a decision chart (correct and incorrect decisions) similar to Table 5-3 in the textbook, but be sure to explain what each decision means in terms of your scenario descriptions. In other words, you need to provide me more than simply Type I or Type II error in each cell of the matrix – spell it out in words – at least a sentence or two.

a. A study working with premature infants to determine if they are delayed in recognizing voices.

b. A study to determine if turning on both muscle producing genes in mice increases the strength of the mice.

c. A political study focusing on the effect of credibility on the interpretation of proposed promises.

d. A study addressing whether increased emotionality increases the risk of developing false memories

Solutions

Expert Solution

Scenario

hypothesis

Correct decision Incorrect decision

a.

premature infants delayed in recognizing voices.

H1:premature infants not delayed in recognizing voices

1. Taking decision that premature infants delayed in recognizing voices when they truely delayed in recognising voices.

2.Taking decision that premature infants did not delayed in recognizing voices when they truely not delayed in recognising voices.

1. Type I error: Taking decision that premature infants delayed in recognizing voices when they truely not delayed in recognising voices.

2.Type II error:Taking decision that premature infants did not delayed in recognizing voices when they truely delayed in recognising voices.

b.

H0: turning on both muscle producing genes in mice does not have effect on strength of the mice.

H1: turning on both muscle producing genes in mice increases the strength of the mice.

1. Taking decision that turning on both muscle producing genes in mice increases the strength of the mice when truely turning on both muscle producing genes in mice increases the strength of the mice

2. Taking decision that turning on both muscle producing genes in mice does not increase the strength of the mice when truely turning on both muscle producing genes in mice does not have effect on the strength of the mice

1. Type I error: Taking decision that turning on both muscle producing genes in mice increases the strength of the mice when when truely turning on both muscle producing genes in mice does not have effect on the strength of the mice.

2.Type II error:Taking decision that turning on both muscle producing genes in mice does not increase the strength of the mice when when truely turning on both muscle producing genes in mice increases the strength of the mice

c.

H0: credibility do not have effect on the interpretation of proposed promises.

H1: credibility have effect on the interpretation of proposed promises.

1. Taking decision that credibility do not have effect on the interpretation of proposed promises when in reality credibility do not have effect on the interpretation of proposed promises

2. Taking decision that credibility have effect on the interpretation of proposed promises when in real credibility have effect on the interpretation of proposed promises.

1. Type I error:Taking decision that credibility have effect on the interpretation of proposed promises when in reality credibility do not have effect on the interpretation of proposed promises.

2.Type II error:Taking decision that credibility do not have effect on the interpretation of proposed promises when in real credibility have effect on the interpretation of proposed promises.

d

H0:increased emotionality have no effect on increase in the risk of developing false memories

H1:increased emotionality increases the risk of developing false memories

1. Taking decision that increased emotionality have no effect on increase in the risk of developing false memories when in reality increased emotionality have no effect on increase in the risk of developing false memories.

2. Taking decision that increased emotionality increases the risk of developing false memories when in real increased emotionality increases the risk of developing false memories

1. Type I error:Taking decision that increased emotionality increases the risk of developing false memories when in reality increased emotionality have no effect on increase in the risk of developing false memories.

2.Type II error:Taking decision that increased emotionality have no effect on increase in the risk of developing false memories when in real increased emotionality increases the risk of developing false memories


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