The 73% of eligible voters C. Some people are being less than honest because P(x≥ 1074) is less than 5%.Therefore , C. Some people are being less than honest because P(x≥ 1074) is less than 5% is correct .
The probability of at least 1074 people voting in a random sample of 1467, given a known voter turnout of 71%, is less than 5%.
This low probability raises suspicion that some individuals may not be truthful about whether they voted.
The scenario implies a potential discrepancy between reported and actual voting behavior.
The probability of 0.0375 (3.75%) indicates that the observed result is statistically unlikely to occur by chance if the reported voter turnout accurately represents the population.
In statistical hypothesis testing, a significance level of 5% is commonly used, and when the probability of an event is below this threshold, it suggests that the observed outcome is unusual enough to warrant further investigation.
However, the interpretation should be cautious. While the result hints at the possibility of dishonesty, other factors like non-representative sampling or unaccounted variables could contribute to the observed discrepancy.
It emphasizes the need for a more comprehensive investigation to draw firm conclusions about the nature of the observed anomaly, whether it be indicative of dishonest reporting, sampling bias, or other factors influencing the outcome