STATISTICAL TECHNIQUES AND TOOLS
TESTS OF SIGNIFICANCE
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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2.40
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3.00
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2.78
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6.90
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Detailed explanation-1: -a z-score less than or equal to the critical value of-1.645. Thus, it is significant at the 0.05 level. z =-3.25 falls in the Rejection Region. A sample mean with a z-score greater than or equal to the critical value of 1.645 is significant at the 0.05 level.
Detailed explanation-2: -The test statistic is a z-score (z) defined by the following equation. z=(p−P) where P is the hypothesized value of population proportion in the null hypothesis, p is the sample proportion, and is the standard deviation of the sampling distribution.
Detailed explanation-3: -Examples on Z Test Example 1: A teacher claims that the mean score of students in his class is greater than 82 with a standard deviation of 20. If a sample of 81 students was selected with a mean score of 90 then check if there is enough evidence to support this claim at a 0.05 significance level.