Chi-Square Contingency Table Problem A major airline company decided to do a sur

Question

Chi-Square Contingency Table Problem

A major airline company decided to do a survey to see if gender influenced which cities people preferred to fly to. The results of the survey are shown below.

PROTECTED VIEW Be careful-files from the internet can contain viruses. Unless you nees Flight Destination Gender NY LA Chicago Philadelphia Male 50 15 34 23 Female 35 12 20 11 State the null and alternative hypotheses for this chi-square test. Calculate the chi-square statistic. Referencing the Chi-Square table, what is the correct number of degrees of freedom? What is the table Chi-Square value at a 2% significance level? What is the decision rule at the 2% significance level? What is your decision and what does it mean relative to the Ho and H stated in part (a) above? Draw a graph to illustrate your decision, inserting the key numenical values What type of error can be made based upon your decision in part d? Sheetl

Explanation / Answer

H0 : Flight destination and gender are independent

H1 : Both are not independent

Chi square test statistic = 1.2246

Degrees of freedom = 2 - 1 * 4-1 = 3

Decision : p value = 0.7471 > 0.02, do not reject H0

Conclusion : gender is not influenced which cities people preferred to fly

Type I error can be occured, since here H0 is true

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