Amage reported the results of its annual travel professionals survey. A total of 277 travel professionals, 114 males and 153 females participated in the survey One question asked for the travel professional's opinion on the taimess of hisher salary Responses were classified as "salary too low" "equitableta" or "paid well. The accompanying table gives a breakdown of the responses in each category by gender Conduct a chi-square test for independe to determine whether the opinion on the taimess of a travel professionals salary depends on gender Use-0.05. Click the icon to view the results of the survey Determine the hypotheses. Choose the comect answer below OA H₂ The opinion salary too lowoutable or paid we are independent H. The opinionsalary too low qutablefax or paid we are dependent OBH, Being male or being female are independent H, Being male or being female are dependent OCH The opinion on taimess of a travel professionals salary and gender are independent H. The opinion on taimess of a travel professional's salary and gender are dependent - Round to three decimal places as needed) Determine the pvalue= Round to four decimal places as needed) State your conclusion OA Reject H₂ There is insufficient evidence to indicate that the opinion on taimess of a travel professional's salary differs formales and females OB. Do not reject H, There is sufficient evidence to indicate that the opinion on taimess of a travel professionals salary differs for males and females OC. Do not reject There is insufficient evidence to indicate that the opinion on taimess of a travel professional's salary differs for males and females O Reject There is sufficient evidence to indicate that the opinion on taimess of a travel professional's salary differs for males and females 1: Survey Results Males Females Salary too low Paid we Tota 114 163

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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10. A magazine reported the results of its annual travel professionals survey. A total of 277 travel professionals, 114 males and 163 females, participated in the survey. One question asked for the travel professional's opinion on the fairness of his/her salary. Responses were classified as "salary too low," "equitable/fair," or "paid well." The accompanying table gives a breakdown of the responses in each category by gender. Conduct a chi-square test for independence
to determine whether the opinion on the fairness of a travel professional's salary depends on gender. Use a = 0.05.
1 Click the icon to view the results of the survey.
Determine the hypotheses. Choose the correct answer below.
O A. Ho: The opinion "salary too low," "equitable/fair," or "paid well" are independent.
H₂: The opinion "salary too low," "equitable/fair," or "paid well" are dependent.
O B. Ho: Being male or being female are independent.
H: Being male or being female are dependent.
O C. Ho: The opinion on fairness of a travel professional's salary and gender are independent.
H₂: The opinion on fairness of a travel professional's salary and gender are dependent.
Calculate the test statistic.
x² =
(Round to three decimal places as needed.)
Determine the p-value.
p-value=
(Round to four decimal places as needed.)
State your conclusion.
O A. Reject Ho. There is insufficient evidence to indicate that the opinion on fairness of a travel professional's salary differs for males and females.
O B.
Do not reject Ho. There is sufficient evidence to indicate that the opinion on fairness of a travel professional's salary differs for males and females.
O C.
Do not reject Ho. There is insufficient evidence to indicate that the opinion on fairness of a travel professional's salary differs for males and females.
O D. Reject Ho. There is sufficient evidence to indicate that the opinion on fairness of a travel professional's salary differs for males and females.
1: Survey Results
Males Females
1-**3
Salary too low 30
Equitable/fair 67
Paid well
17
Totals
114 163
81
56
26
Transcribed Image Text:10. A magazine reported the results of its annual travel professionals survey. A total of 277 travel professionals, 114 males and 163 females, participated in the survey. One question asked for the travel professional's opinion on the fairness of his/her salary. Responses were classified as "salary too low," "equitable/fair," or "paid well." The accompanying table gives a breakdown of the responses in each category by gender. Conduct a chi-square test for independence to determine whether the opinion on the fairness of a travel professional's salary depends on gender. Use a = 0.05. 1 Click the icon to view the results of the survey. Determine the hypotheses. Choose the correct answer below. O A. Ho: The opinion "salary too low," "equitable/fair," or "paid well" are independent. H₂: The opinion "salary too low," "equitable/fair," or "paid well" are dependent. O B. Ho: Being male or being female are independent. H: Being male or being female are dependent. O C. Ho: The opinion on fairness of a travel professional's salary and gender are independent. H₂: The opinion on fairness of a travel professional's salary and gender are dependent. Calculate the test statistic. x² = (Round to three decimal places as needed.) Determine the p-value. p-value= (Round to four decimal places as needed.) State your conclusion. O A. Reject Ho. There is insufficient evidence to indicate that the opinion on fairness of a travel professional's salary differs for males and females. O B. Do not reject Ho. There is sufficient evidence to indicate that the opinion on fairness of a travel professional's salary differs for males and females. O C. Do not reject Ho. There is insufficient evidence to indicate that the opinion on fairness of a travel professional's salary differs for males and females. O D. Reject Ho. There is sufficient evidence to indicate that the opinion on fairness of a travel professional's salary differs for males and females. 1: Survey Results Males Females 1-**3 Salary too low 30 Equitable/fair 67 Paid well 17 Totals 114 163 81 56 26
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