Which of these statements is not true for a researcher who is using standard sta

Question

Which of these statements is not true for a researcher who is using standard statistical methods in a test of significance? A researcher who rejects a true null hypothesis has committed a Type I error. A researcher who rejects the null hypothesis has computed a test statistic that is large in absolute value. A researcher who rejects the null hypothesis has computed a P-value that is large in value. When the null hypothesis is true, the probability of making a Type I error is equal to the significance level. Using the following hypotheses, which choice below best describes a Type II error? Ho: High school students get plenty of sleep Ha: High school students do not get enough sleep. You conclude that high school students need more sleep but they really get plenty of sleep. You conclude that high school students get plenty of sleep but they really don't need more. You conclude that high school students get plenty of sleep but they really do not sleep enough. You conclude that high school students do not get enough sleep because you are tired today. The purchasing manager for a large office complex must decide between two competing brands of fluorescent copiers. One is the brand currently used in the building and it jams 10% of the time. The new brand is more expensive, but the manufacturer claims that the proportion of jams is less than the current one and will save on maintenance charges. Which of the following is a type I error? The company decides to purchase the new copiers and they find them to be more reliable. The company decides to purchase the new copiers and they find them not to be more reliable. The company decides not to purchase the new copiers and they hear they are more reliable. The company decides not to purchase the new copiers and they hear they are not more reliable. The type of error depends on the perspective taken in the problem The rejection region for a test Ho: p = 4 vs. Ha: p 1.96 or z 1.645 or z -1.645 Reject Ho if z -1.96 eject Ho if z -1.645

Explanation / Answer

4)

A is the right option. Here' the reasoning

p =.4

alpha = .05, which means a Z of 1.96

Now, p = .4 is being tested in null, and p<.4 is being tested in alternative

Since an equality is present in null htpothesis it' a 2 sided test.

Hence, reject of Z>1.96 or Z<-1.96

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