# Hypothesis Z and t

Feb 3rd, 2012
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Answered below a) What is the null hypothesis? b) What is the alternative hypothesis? c) How may degrees of freedom are there? d) What is the sample standard deviation of the difference in the test scores? e) What is the value of the test statistic? f) What is the p-value? g) How to find a C.I?

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Q1 No error is committed when the null hypothesis is rejected when it is falseA. True, reason definition of TYPE I error gives reject Ho when It is true, it works when error is committed and for no error it is falseQ3The test value separates the critical region from the non-critical regionA. False, reason is critical value separates the critical region from the non-critical regionQ5The chi-square test for variances is always one-tailedA. False, chi-square test can be both for two tail and one tailQ7If you wish to test the claim that the mean of the population is 100, the appropriate null hypotheses is d. = 100A. True, Null Hypothesis we always states with equal sign for two tailed.Q9For the t test, one uses s instead of.A. True, t-test is always based on the t-test standard deviation.Q11The probability of a type II error is referred to as ?.A. True, reason is ? = 1- Type I Error is the TYPE II ErrorQ13To test the claim that the mean is greater than 87, you would use a right-tailed testA. True, reason is for greater we use right tail and for lesser we use left tail test.Q15Ages of Professional Women. A sociologist wishes to see if it is true that for a certain group of professional women, the average age at which they have their first child is 28.6 years. A random sample of 36 women is selected, and their ages at the birth of their first child are recorded. At ? = 0.05, does the evidence refute the sociologist's assertion? Assume = 4.18.

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