Final answer:
The appropriate analysis for determining if there is a prevailing view that beautiful people are more friendly from a sample of 80 individuals is a one-sample proportion test. A significance test such as a z-test for proportions is used to compare the sample proportion to a hypothesized population proportion.
Step-by-step explanation:
A researcher is interested in whether there really is a prevailing view that beautiful people are more friendly. In the study, a random sample of 80 individuals were asked the question, "Do you believe beautiful people are more friendly?" Forty-four respondents circled "yes" and thirty-six circled "no." The appropriate analysis to determine if there is a statistically significant prevailing view is a one-sample proportion test, as the question concerns the proportion of the population that believes in the association between beauty and friendliness.
To conduct this analysis, the sample proportion of respondents who answered "yes" is compared to a hypothesized population proportion using a significance test such as the z-test for proportions. If the result is statistically significant, it would suggest that there is indeed a prevailing view as claimed by the researcher. The hypothesis test can be set up as follows: the null hypothesis (H0) might state that there is no difference in the proportion of people who believe beautiful people are more friendly compared to those who do not, whereas the alternative hypothesis (H1) would state that there is a difference.