Conducting a z-test

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Mathematics

Description

A researcher predicts that watching a film on institutionalization will change students’ attitudes about chronically mentally ill patients. The researcher randomly selects a class of 36 students, shows them the film, and gives them a questionnaire about their attitudes. The mean score on the questionnaire for these 36 students is 70. The score for people in general on this questionnaire is 75, with a standard deviation of 12. Using the five steps of hypothesis testing and the 5% significance level (i.e. alpha = .05), does showing the film change students’ attitudes towards the chronically mentally ill?

  1. What does it mean to set alpha at .05?
  2. What is your null hypothesis? Alternate hypothesis?
  3. Is this a one-tailed or two-tailed hypothesis?
  4. What is the critical z?
  5. Calculate the obtained z. Do you reject or fail to reject the null hypothesis?
  6. State in words what you have found.

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Explanation & Answer

Here you go!

1. The value of alpha refers to the level of significance. Alpha is used to determine the probability
that the null hypothesis will be rejected, when it is actually true. This can also be referred to as
the probability o...


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