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A study on the effects of lack of REM sleep on the ability to recall a list of w

ID: 2955680 • Letter: A

Question

A study on the effects of lack of REM sleep on the ability to recall a list of words was conducted. The numbers of people in the normal and sleep-deprived conditions are listed by whether they had a high, moderate, or low amount of recall. The contingency table below summarizes the number of people in each category. Does the data suggest that recall is independent of sleep condition at the .05 level of significance?

A new rehabilitation program was instituted in a prison to see if the number of re-arrests could be lowered. The contingency table below summarizes the numbers of re-arrests among prisoners who had participated in the new program and those who had been placed in the standard program. Did the new program make a difference in the number of re-arrests at the .05 level of significance?

Program

Number not re-arrested

Number re-arrested

Total

New

8 (14)

26 (20)

34

Standard

20 (14)

14 (20)

34

Total

28

40

68

Population 1: People who are similar to sample.

Population 2: People for whom the program made no difference

The null hypothesis is that the two populations are the same, people in the new and standard programs were re-arrested at the same rate.

The research hypothesis is that there is a difference in the re-arrest rate between people in the new program and those in the standard program.

df = (Ncolumns-1)(Nrows ?1) in this case (2-1)(2-1) = 1

For 1 df, the cutoff score on the chi-square distribution for the .05 level of significance is 3.841.

Recall Normal Sleep Sleep Deprived High 10 4 Moderate 9 7 Low 1 9

Explanation / Answer

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