One-Sided Confidence Interval A one-sided claim about a population proportion is a claim that the proportion is less than (or greater than) some specific value. Such a claim can be formally addressed using a one-sided confidence interval for p , which can be expressed as p < p ^ + E or p > p ^ − E , where the margin of error E is modified by replacing z α /2 with z α . (Instead of dividing α between two tails of the standard normal distribution , put all of it in one tail.) The Chapter Problem refers to a Gallup poll of 1487 adults showing that 43% of the respondents have Facebook pages. Use that data to construct a one-sided 95% confidence interval that would be suitable for helping to determine whether the proportion of all adults having Facebook pages is less than 50%.
One-Sided Confidence Interval A one-sided claim about a population proportion is a claim that the proportion is less than (or greater than) some specific value. Such a claim can be formally addressed using a one-sided confidence interval for p , which can be expressed as p < p ^ + E or p > p ^ − E , where the margin of error E is modified by replacing z α /2 with z α . (Instead of dividing α between two tails of the standard normal distribution , put all of it in one tail.) The Chapter Problem refers to a Gallup poll of 1487 adults showing that 43% of the respondents have Facebook pages. Use that data to construct a one-sided 95% confidence interval that would be suitable for helping to determine whether the proportion of all adults having Facebook pages is less than 50%.
Solution Summary: The author explains that the 95% one-sided confidence interval for the proportion of all adults having a Facebook page is 0.451.
One-Sided Confidence Interval A one-sided claim about a population proportion is a claim that the proportion is less than (or greater than) some specific value. Such a claim can be formally addressed using a one-sided confidence interval for p, which can be expressed as p <
p
^
+ E or p >
p
^
− E, where the margin of error E is modified by replacing zα/2 with zα. (Instead of dividing α between two tails of the standard normal distribution, put all of it in one tail.) The Chapter Problem refers to a Gallup poll of 1487 adults showing that 43% of the respondents have Facebook pages. Use that data to construct a one-sided 95% confidence interval that would be suitable for helping to determine whether the proportion of all adults having Facebook pages is less than 50%.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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