A political pollster claims that 55% of voters prefer candidate A. To investigate this claim, a random sample of 75 voters is polled. The pollster finds that 39 of those polled prefer candidate A. He would like to know if the data provide convincing evidence that the true proportion of all voters who prefer candidate A is less than 55%. The P-value of this test is 0.3015. Interpret the P-value.
Answer
A
Assuming that the true population proportion of voters who prefer candidate A is 0.55, the probability of obtaining a sample statistic of 0.52 in a random sample of 75 voters is 0.3015.
B
Assuming that the true population proportion of voters who prefer candidate A is 0.55, the probability of obtaining a sample statistic of 0.52 or less in a random sample of 75 voters is 0.3015.
C
Assuming that the true population proportion of voters who prefer candidate A is less than 0.55, the probability of obtaining a sample statistic of 0.52 in a random sample of 75 voters is 0.3015.
D
Assuming that the true population proportion of voters who prefer candidate A is less than 0.55, the probability of obtaining a sample statistic of 0.52 or less in a random sample of 75 voters is 0.3015.