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# PSYC 354 HOMEWORK 6 PERCENTILES AND HYPOTHESIS TESTING WITH Z-TESTS

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PSYC 354HOMEWORK 6Percentiles and Hypothesis Testing with Z-TestsWhen submitting this file, be sure the filename includes your full name, course and section.Example: HW6_JohnDoe_354B01Be sure you have reviewed this module/week’s lesson and presentations along with the practicedata analysis before proceeding to the homework exercises. Complete all analyses in SPSS, thencopy and paste your output and graphs into your homework document file. Answer any writtenquestions (such as the text-based questions or the APA Participants section) in the appropriateplace within the same file.Part I: ConceptsQuestions 1–4These questions are based on the Nolan and Heinzen reading andend-of-chapter questions.Part I: Questions 1-7End-of-chapter problems:Answer the following questions.If applicable, remember to show work in your homework document for partial credit.1) What are the 6 steps of hypothesis testing?(State the 6 steps)A) Set up the null hypothesis, H0 and the alternative hypothesis, Ha.B) Choose appropriate level of significance, a.C) Identify the test statistic need to be used, i.e sampling distribution of the test statistic.D) Obtain the critical value of the test.E) Calculate the test statistic.F) Compare the observed test statistic with critical value(s) and draw conclusion aboutthe null hypothesis.2) Using the z table in Appendix B, calculate the following percentages for a z score of-0.452-a) % above this zscore: AnswerWork:2-b) % below this zWork:Page 1 of 7 PSYC 354score: Answer2-c) At least as extremeas this z score (on eitherside):Work:Answer3) Rewrite each of the following percentages as probabilities, or p levels:3-a) 5% = Answer: 0.053-b) 95% = Answer: 0.953-c) 43% = Answer: 0.434) If the critical values, or cutoffs, for a two-tailed z test are -2.05 and +2.05, determinewhether you would reject or fail to reject the null hypothesis in each of the followingcases:4a) z = 2.234b) z = -0.975)AnswerAnswerImagine a class of twenty-five 12-year-old girls with an average height of 62 inches.We know that the population mean and standard deviation for this age group ofgirls is m=59 inches, s = 1.5 inches. (Note that this is a z statistic problem.)

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