Answer:
The probability that the experimenter’s point estimate of p will be within the interval (0.62, 0.64) is 0.72
Step-by-step explanation:
To find a probability for the confidence interval we need to calculate z-statistic of the margin of error of the confidence interval.
margin of error for (0.62, 0.64) with p=0.63 is 0.01
Margin of error (ME) can be calculated using the equation
where
- z is the corresponding statistic for the given confidence level
- p is the probability of obtaining a head(0.63)
- N is the sample size (300)
Then solving gives z≈0.3587
two tailed p-value for z≈0.3587 is 0.72.
Thus, the probability that the experimenter’s point estimate of p will be within the interval (0.62, 0.64) is 0.72