Question

A researcher watching House Hunters was curious as to whether there was a relationship between gender and favorite preferences for house styles. In order to test this, the researcher conducted a survey in which she asked males and females which style of house (colonial, ranch, or cape cod style) they preferred the most. Colonial Ranch Cape Cod Male 22 9 28 Female 18 14 30 Conduct a hypothesis test using the following steps. Set alpha = .01

2A. Step 1: State the null hypothesis in words.

2B. Step 2: Set up the criteria for making the decision. That is, find the critical value.

2C. Step 3: Summarize the data into the appropriate test-statistic.

2D. Step 4: Evaluate the null hypothesis (circle one) REJECT FAIL TO REJECT

2E. Step 5: State your conclusion in words.

Answer 1

A frequency table between gender and favourite preferences for house plyle is given below : Colonial Ranch Cape Code Total Male 22 9 28 89 Female 18 14 30 62 Total 23 58 121 A researchers Coco Curious as to wheather there wao a relationship benen these two variables : 40 we against #1: Some &207 2 2 -02 ) 2ASo the hypothesis is. Hoi Guendut and followizilo preference for house style indipendent Some relationship skiste between them 2B) Consider the team Statistie = nf fij is jy fioxfoj whore fii = frequency corresponding to the = 1,2 j= 1,2,3 I tij s fig fi total frequency of goe > y'a, fue) level of significance white K= fow size, L= Column size row & ith column 2 E & fid L We rejec Hoala 1.482 687 9.210 2D) 121 (1.0123 - 1) peo.com Looot, 2 Since osowed for we failma to reject the nult hypothesis of 0.01 level of significance Hence conclude that & preference of house style are independent. 2E7 We gender