Unit 8 Lab For the Unit 8 lab you will use a random sample of 100 students from aStatCrunchU. StatCrunchU is a fictitious virtual population of 46,000 students.Instructions for accessing your data: To access StatCrunchU, log into StatCrunch and clickon Data Collectors.You will see a student survey with 6 questions. This is a fictitious survey that was answeredby each of the 46,000 fictitious students at StatCrunch U.Below the survey you can set the sample size. Set this to 100 and click Generate Sample. Aspreadsheet will appear with the survey results for your random sample of 100StatCrunchU students.Note: Your sample is a random sample; therefore, your results will differ somewhat fromother students' results.Instructions for the lab assignment:1. How many females are in your sample? How many males? What proportion of yoursample is female? What proportion of your sample is male? (StatCrunch steps: Stat,Tables, Frequency)2. Is there an equal proportion of men and women at StatCrunchU?a)Show that the conditions are met for the use of a normal model for a hypothesistest (np 2 10 and n(1- p) 2 10, where p is from the null hypothesis).b)Use StatCrunch to test the claim that the proportion of females at StatCrunchU isequal to the proportion of men. Paste the StatCrunch printout below. (StatCrunchsteps: Stat, Proportion Stats, One Sample, With Data. To copy click on Options.)c) Write a conclusion to your hypothesis test referring to females at StatCrunchU.d) Explain what the P-value means as a probability that refers to random samples of100 StatCrunchU students.3. What are the proportions of females and males at StatCrunchU?a) Show that the conditions are met for the use of a normal model for a confidenceinterval (count of successes and failures are greater than 10).b) Determine a range of plausible values for this proportion by using StatCrunch to finda 95% confidence interval. Paste the StatCrunch printout below. (StatCrunch steps:Stat, Proportion Stats, One Sample, With Data.)c) Interpret your interval referring to females at StatCrunchU.d) Explain what is meant by “95% confident."4) Does your confidence interval support your hypothesis test? Explain. StatCrunch U: Survey resultsStOptionsCC DebtROne sample proportion confidence interval:Outcomes in : GenderSuccess : Femalep: Proportion of successesvar7var8var9108738551424Method: Standard-Wald3768712095% confidence interval results:4464Variable Count Total Sample Prop.Std. Err.L. LimitU. Limit1097Gender551000.55 0.049749372 0.45249302 0.64750698233713051229.90Maie91Female114Options92Female118One sample proportion hypothesis test:Outcomes in : Gender93Male215Options5Success : Female4p: Proportion of successesHo :p = 0.5HA :p+ 0.5Frequency table results for Gender:Count = 100Gender + Frequency + Relative Frequency +Hypothesis test results:Female550.55Variable Count Total Sample Prop. Std. Err. Z-Stat P-valueMale450.45Gender551000.550.0510.3173104

Question

Unit 8 Lab For the Unit 8 lab you will use a random sample of 100 students from aStatCrunchU. StatCrunchU is a fictitious virtual population of 46,000 students.Instructions for accessing your data: To access StatCrunchU, log into StatCrunch and clickon Data Collectors.You will see a student survey with 6 questions. This is a fictitious survey that was answeredby each of the 46,000 fictitious students at StatCrunch U.Below the survey you can set the sample size. Set this to 100 and click Generate Sample. Aspreadsheet will appear with the survey results for your random sample of 100StatCrunchU students.Note: Your sample is a random sample; therefore, your results will differ somewhat fromother students' results.Instructions for the lab assignment:1. How many females are in your sample? How many males? What proportion of yoursample is female? What proportion of your sample is male? (StatCrunch steps: Stat,Tables, Frequency)2. Is there an equal proportion of men and women at StatCrunchU?a)Show that the conditions are met for the use of a normal model for a hypothesistest (np 2 10 and n(1- p) 2 10, where p is from the null hypothesis).b)Use StatCrunch to test the claim that the proportion of females at StatCrunchU isequal to the proportion of men. Paste the StatCrunch printout below. (StatCrunchsteps: Stat, Proportion Stats, One Sample, With Data. To copy click on Options.)c) Write a conclusion to your hypothesis test referring to females at StatCrunchU.d) Explain what the P-value means as a probability that refers to random samples of100 StatCrunchU students.3. What are the proportions of females and males at StatCrunchU?a) Show that the conditions are met for the use of a normal model for a confidenceinterval (count of successes and failures are greater than 10).b) Determine a range of plausible values for this proportion by using StatCrunch to finda 95% confidence interval. Paste the StatCrunch printout below. (StatCrunch steps:Stat, Proportion Stats, One Sample, With Data.)c) Interpret your interval referring to females at StatCrunchU.d) Explain what is meant by “95% confident.&#34;4) Does your confidence interval support your hypothesis test? Explain. StatCrunch U: Survey resultsStOptionsCC DebtROne sample proportion confidence interval:Outcomes in : GenderSuccess : Femalep: Proportion of successesvar7var8var9108738551424Method: Standard-Wald3768712095% confidence interval results:4464Variable Count Total Sample Prop.Std. Err.L. LimitU. Limit1097Gender551000.55 0.049749372 0.45249302 0.64750698233713051229.90Maie91Female114Options92Female118One sample proportion hypothesis test:Outcomes in : Gender93Male215Options5Success : Female4p: Proportion of successesHo :p = 0.5HA :p+ 0.5Frequency table results for Gender:Count = 100Gender + Frequency + Relative Frequency +Hypothesis test results:Female550.55Variable Count Total Sample Prop. Std. Err. Z-Stat P-valueMale450.45Gender551000.550.0510.3173104

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