AutoSave . Off) STAT 1060 Asst 2 Question Search (Alt+Q) May Ho MH X File Home Insert Draw Design Layout References Mailings Review View Help Comments Share & Cut Times New Romar ~ 11 ~ A" A Aa Ap Find AaBbCcDd AaBbCc[ AaBbCcDc AaBbCcDd AaBbCcDd AaBbCcDd AaBbCcD Gc Replace Paste [ Copy Format Painter BIU ab X X A LA 1 Body Text 1 Heading 1 1 Heading 2 1 No Spac... 1 Normal 1 Table Pa... Heading 3 Dictate Editor Select v Clipboard Font Paragraph Styles Editing Voice Editor can put to place appropriate measure to regulate the issues and improve satisfaction levels. Question 4 (11 marks) The season that travellers plan to travel in may have an impact on whether they plan to spend more time inland or on the coast. This can have an effect on the timing of different advertising campaigns. Information was collected from a random sample of 80 travellers on a travel agent's database regarding travel preferences and is summarized in the table below. The data are also provided in the excel file named 'Question4.xIsx' Season Summer Winter Inland 20 20 Preferenc Coastal 30 10 Calculate the probability of a person travelling in the Summer selecting a Coastal location. [1.5 marks] P (travelling in the Summer selecting Costal location) =30/80 = 0.375 = 37.50% b) What is the probability of a person travelling in the Winter selecting to visit an Inland location? 1.5 marks] P (travelling in the Winter selecting Inland location) = 20/80 =0.25 = 25% c) Comparing responses to a) and b) does there appear to be an association between preferences for coastal or inland holidays, and the season people prefer to travel in? [1 mark] Through comparing responses in a and b there appear be association between preference for costal or inland holiday and the season. The relationship is that travelers tend to select inland location during Winter and costal location during the Summer season. Page 5 of 6 16 of 1727 words DX English (United States) Ex Accessibility: Investigate "Focus 87% Type here to search O O W X 6:37 PM ENG 29/05/2022AutoSave . Off) STAT 1060 Asst 2 Question Search (Alt+Q) May Ho MH X File Home Insert Draw Design Layout References Mailings Review View Help Comments Share & Cut Times New Romar ~ 11 ~ A" A Aa Ap Find AaBbCcDd AaBbCc[ AaBbCcDc AaBbCcDd AaBbCcDd AaBbCcDd AaBbCcD Paste [ Copy Gc Replace 1 Body Text 1 Heading 1 1 Heading 2 1 No Spac... 1 Normal 1 Table Pa.. Heading 3 Dictate Editor Format Painter BIUvab X X A LA Select v Clipboard Font Paragraph Styles Editing Voice Editor d) Perform a hypothesis test at the 5% significance level to see if there is a statistically significant relationship between preferences for coastal or inland holidays, and the season people prefer to travel in. wLabels Row Labels 15 0 02092-1335 how Labels song Grand Togo State the null and alternative hypothesis [1 mark] Ho: There is no statistically significant relationship between preferences for coastal or inland holidays, and the season people prefer to travel in. HA: There is a statistically significant relationship between preferences for coastal or inland holidays, and the season people prefer to travel in. ii. Report the p-value [1 mark] p= 0.020921335 = 0.0209 (rounded) What decision do you make about the hypothesis and why? [1 mark] Since the p-value (0.0209) is less than 0.05, we can therefore reject the null hypothesis at the 5% significance level. As a result, we can accept the alternative hypothesis that there is a statistically significant relationship between the preferences for coastal or inland holidays, and the season people prefer to travel in. iv. What is the conclusion (ie. answer the question)? [2 marks] Since we rejected the null hypothesis, this indicates that there is a statistically significant relationship between preferences for coastal or inland holidays, and the season people prefer to travel in. Furthermore, it appears as though the number of travelers who holiday during Winter that select inland location is proportionately similar to those of their Summer counterparts selecting coastal locations. This is clearly seen in above with Summer travelers selecting coastal locations 60% of the time similarly with Winter travelers selecting inland locations 67% of the time. e) Would you suggest an increase in advertising to both inland and coastal destinations during Winter? [2 marks] Page 6 of 6 1708 words DX English (United States) x Accessibility: Investigate " Focus + 73% Type here to search O O S w X 6:37 PM ENG 29/05/2022