Suppose we select a random sample of n = 100 students and find that the proportion of students who said they believe in love at first sight is 0.43. Which statement is not necessarily true?
A) There were 43 students in the sample who said they believe in love at first sight.
B) Based on the information provided by the sample, we cannot determine exactly what proportion of the population would say they believe in love at first sight.
C) $\hat{p}$ = 0.43
D) p = 0.43

Question

Quizplus · Accepted Answer

Statement D is not necessarily true because it assumes the sample proportion ($\hat{p}$ = 0.43) is equal to the population proportion (p), which cannot be determined from a sample without further statistical analysis.

Suppose We Select a Random Sample of N = 100 p^\hat{p}p^​

Suppose We Select a Random Sample of N = 100 $\hat{p}$