Question

An anthropologist wanted to know why certain countries were so popularly represented among the elite chess players of the world. Hypothesizing that it may be linked to the amount of youth Involvement in the countries, he and colleagues took random samples of children aged 12 or less in a variety of countries across the world and asked them if they played chess. The results from the countries are shown below. Country Number who play chess USA 294 171 Russia 269 a) What is the correct hypothesis to test OHO: DD vs. Hi Di-P20 there is a difference th involvement in chess between the two countries? - Hạ XIX = 0 vs. Hạ XI - X2 = 0 Hy: P2-O vs. Hy P1200 Ho: D1-02 vs. He: Di-P20 .057 b) Suppose that instead of being provided the data, you were only told that the p-value for the test is 0.032. Using this p-value, what would we conclude at Reject the mall hypothesis, there is evidence of different levels of youth involvement in chess between the two countries. Reject the null hypothesis, there is not enough evidence of different levels of youth involvement in chess between the two countries The difference in youth participation is responsible for the difference in representation for the two countries among the game's elite Do not reject the null hypothesis there is not enough evidence to conclude that the two countries have the same level of youth participation C) Using that same p-value from part b), which of the following statements are true? Select all that apply would be inside a confidence interval - would not be inside a 95% confidence interval We do not knowo will be inside the 95% confidence interval would be inside a 99 confidence interval MacBook Pro Tili: BED TRWERINUDOPER

Answer 1

(a) option (i) → Ho: Pi-Py = 0 vs. Hai P, --P2 70 b) Option (i) → Reject the hull hispothesis ; there is evidence of different levels of youth involvement in chess between the two countries. [ As the p-value (0.032) is less than the significance level (0.05), we reject the null hypothesis (c) option (ii) and option (iv) z o would not be inside a 951. confidence interval. o would be inside a 99% confidence interval I at 95% confidence, we reject Ho: P, - 2 = 0, so o would not be inside the interval? I at 994. confidence, p-value is greater than the significance level of o.ol, so we fail to reject Hoibi-P2=0; Hence, I would be inside the 99% interval]