Consider the following set of ordered pairs. x 4 2 4 3 6 4 y 5 7 74 2 7 ?a) Calculate the correlation coefficient. ?b) Using alphaequals 0.05?, perform a hypothesis test to determine if thepopulation correlation coefficient is less than zero. LOADING...Click the icon to view a portion of the? Student's t-distributiontable. ?a) requals nothing ?(Round to three decimal places as?needed.) ?b) Determine the null and alternative hypotheses. Upper H0?: rho ? less than or equals greater than or equals less thangreater than not equals equals 0 Upper H 1?: rho ? greater thanless than or equals equals less than not equals greater than orequals 0 The? t-test statistic is nothing. ?(Round to three decimalplaces as? needed.) The critical? t-score(s) is(are) nothing.?(Round to three decimal places as needed. Use a comma to separateanswers as? needed.) Because the test statistic is ? equal to lessthan greater than the critical? value, ? do not reject reject the ?alternative hypothesis. null hypothesis. One ? cannot can concludethat the population correlation coefficient is ? equal to not equalto greater than less than zero.