Question

In: Statistics and Probability

In December​ 2004, 44​% of students in high school were satisfied with the lunches supplied through...

In December​ 2004, 44​% of students in high school were satisfied with the lunches supplied through the school. In May​ 2010, an organization conducted a poll of 766 students in high school and asked if they were satisfied with the lunches supplied through the school. Of the 766 ​surveyed, 299 indicated they were satisfied. Does this suggest the proportion of students satisfied with the quality of lunches has​ decreased? ​(a) What does it mean to make a Type II error for this​ test? ​(b) If the researcher decides to test this hypothesis at the alpha=0.10 level of​ significance, compute the probability of making a Type II​ error, beta​, if the true population proportion is 0.39. What is the power of the​ test? ​(c) Redo part​ (b) if the true population proportion is 0.43.

Solutions

Expert Solution

Hypotheses are:

(a)

Type II error is the probability of fail to reject the false null hypothesis.

That is researcher incorrectly conclude that the proportion of students satisfied with the quality of lunches has​ not decreased while actually the proportion of students satisfied with the quality of lunches has​ decreased.

(b)

(c)

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orchestra answered 2 years ago
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