A statistical hypothesis test was completed for the following null and alternative hypothesis. If o was unknown, the .05, sample size for the test was n = 8 and the value of the test statistic wast = -2.1. At a level of significance, a = which one of the following is a true statement? H:p = 23 H,:p< 23 Do not reject the null hypothesis because the value of the test statistic is not less than -2.306 Do not reject the null hypothesis because the value of the test statistic is not less than -2.365 Reject the nulI hypothesis because the value of the test statistic is less than -1.895 Since the rejection region is defined as t < -1.86, reject the null hypothesis Since the rejection region is defined as Z < -1.645, reject the null hypothesis Since the rejection region is defined as Z < -1.96, reject the null hypothesis
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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