Question

The data shown below consists of the price in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant negative linear correlation between ticket price and number of attendees. Use a significance level of 0.05 and round all values to 4 decimal places. Ticket Price Attendence 196 162 10 14 30 34 38 42 101 105 184 110 88 Ho: p=0 Ha: p<0 Find the Linear Correlation Coefficient Find the p-value p-value = The p-value is Greater than a Less than or equal to) a The p-value leads to a decision to Reject Ho Do Not Reject Ho Accept Ho The conclusion is There is insufficient evidence to make a conclusion about the linear correlation between ticket price and attendance. There is a significant positive linear correlation between ticket price and attendance. There is a significant negative linear correlation between ticket price and attendance. There is a significant linear correlation between ticket price and attendance.

Answer 1

1 In this XY x Cricket price) Attendence cy) 196 36 176 38416 26244 o 162 100 196 159 153 25281 23409 394 1620 2226 2754 3916 2626 31684 128 484 676 900 10201 101 3150 oooooooooo 11025 33856 105 1156 6256 4180 184 1444 110 42 88 1436 n=10 12100 1764 7744 396 240 7080 219960 31600 Null Hypothesis Ho : pro si Alemate Hypothesis Ha: peo ΣΧΥ – ΣΧ ΣΥ linear correlation coefficient - = (m) - Inex? CEx)?] [nży?(3y)] 10* 31600-240* 1436 (1) = Thox 7080-(2404)[10+219960 – 142.53 linear correlation coefficienter) = -0.6722 P-value = PCY=-0.6722, n=90) = 0.0166/ Given significance level <=0.05 P-value < significance level (a) 0.0166 < 0.05 Reject Null Hypothesis cHb) The p-value is less than a The p-value leads to a decision to Reject Ho The conclusion is there is a significant negative linear correlatien between ticket price and attendance ne-taile