b) Persons who visit the restroom of a certain fast-food outlet were asked to state their opinion of the quality of the restroom facilities. The following tables show the responses from a sample of 100 persons. Quality of Facilities Above Average Average Below Average Totals i) ii) iii) iv) Gender of Respondent Male 8 26 7 41 Female 7 24 28 59 Totals A x² test is carried out to determine whether there is an association between the gender of persons and their opinion. State appropriate null and alternative hypotheses Determine the critical region of the test at the 1% level of significance Calculate the value of your test Statistic What is your conclusion for this test. Give a reason for your answer 15 50 35 100

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 303 people over the age of 55, 79 dream in black and white, and among 300 people under the age of 25, 18 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: P₁ = P₂ H₁: P₁ P2 O D. Ho: P₁ #P₂ H₁: P₁ = P2 Identify the test statistic. z=0 Z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? the significance level of a = 0.01, so…

A certain company will purchase the house of any employee who is transferred out of state and will handle all details of reselling the house. The purchase price is based on two assessments, one assessor being chosen by the employee and one by the company. Based on the sample of eight assessments shown, do the two assessors agree? Use the .01 level of significance.  Assessments of Eight Homes ($ thousands) Assessed by Home 1 Home 2 Home 3 Home 4 Home 5 Home 6 Home 7 Home 8 Company 330 345 452 270 298 286 537 744 Employee 317 350 473 280 307 283 523 769    Click here for the Excel Data File (a) Choose the appropriate hypotheses. Assume d = company assessed value – employee assessed value. multiple choice 1 H0: μd = 0 versus H1: μd ≠ 0. H0: μd ≠ 0 versus H1: μd = 0.  (b) State the decision rule for .01 level of significance. (Round your answers to 2 decimal places. A negative value should be indicated by a minus sign.) Reject the null hypothesis if tcalc <  or…