The article "The World Prefers a Calm Life to an Exciting Life" reports the results of a survey by the Wellbeing for Planet Earth (WPE) Foundation that asked adults from 116 countries and territories around the world, "Would you rather live an exciting life or a calm life?"† The resulting data were used to test H0: p = 0. versus Ha: p > 0.5,
and the null hypothesis was rejected.
(a) Based on the title of the article, what do you think p represents in the hypotheses? (Hint: Make sure to distinguish between a sample statistic and a population parameter.)
p represents the number of adults from every country and territory on Earth who would rather live a calm life.
p represents the proportion of the population of adults who responded to the survey who indicated they would rather live a calm life.
p represents the number of adults who responded to the survey who indicated they would rather live a calm life.
p represents the proportion of the population of adults from the 116 countries and territories from around the world who would rather live a calm life.
p represents the number of adults from the 116 countries and territories from around the world who would rather live a calm life.
(b) Is it reasonable to say that the data provide strong support for the alternative hypothesis?
Yes, since the null hypothesis was rejected, it is reasonable to say the data provide strong support for the alternate hypothesis.
Yes, since the null hypothesis was not rejected, it is reasonable to say the data provide strong support for the alternate hypothesis.
No, since the null hypothesis was not rejected, it is not reasonable to say the data provide strong support for the alternate hypothesis.
No, since the null hypothesis was rejected, it is not reasonable to say the data provide strong support for the alternate hypothesis.
Since we have not seen the actual data, we cannot say whether it is reasonable or not to say the data provide strong support for the alternate hypothesis.
(c) Is it reasonable to say that the data provide strong evidence against the null hypothesis?
Yes, since the null hypothesis was not rejected, it is reasonable to say that the data provide strong evidence against the null hypothesis.
Yes, since the null hypothesis was rejected, it is reasonable to say that the data provide strong evidence against the null hypothesis.
No, since the null hypothesis was rejected, it is not reasonable to say that the data provide strong evidence against the null hypothesis.
No, since the null hypothesis was not rejected, it is not reasonable to say that the data provide strong evidence against the null hypothesis.
Since we have not seen the actual data, we cannot say whether it is reasonable or not to say that the data provide strong evidence against the null hypothesis.
* Guaranteed correct answer below