According to a newspaper article, “Most people are kissing the ‘right way.’” That is, according to a study, the majority of couples prefer to tilt their heads to the right when kissing. In the study, a researcher observed a random sample of 124 kissing couples and found that 83/124 (66.9%) of the couples tilted to the right. To determine if these data provide convincing evidence that couples are more likely to tilt their heads to the right, 100 simulated SRSs were selected. Each dot in the graph shows the number of couples that tilt to the right in a simulated SRS of 124 couples, assuming that each couple has a 50% chance of tilting to the right.

a. Explain how the graph illustrates the concept of sampling variability.

b. Based on the data from the study and the results of the simulation, is there convincing evidence that couples prefer to kiss the “right way”? Explain your answer.

Transcribed Image Text:

51 54 57 60 63 Simulated number of couples who tilt to the right 45 48 66 69 72 75