Spending on concessions at the movies varies by age of the movie goer. A random sample of 100 adults in their 40's found that 70 purchased popcorn. A random sample of 100 adults less than 40 years old found that 59 purchased popcorn. a. State the hypotheses for determining there is a difference in the proportion of adults who purchase popcorn in each age group. b. Calculate the test statistic. c. Calculate the p-value. d. Interpret the p-value. e. State your conclusion. f. Would a confidence interval for the difference in proportions contain zero? Explain without constructing the interval.
Spending on concessions at the movies varies by age of the movie goer. A random sample of 100 adults in their 40's found that 70 purchased popcorn. A random sample of 100 adults less than 40 years old found that 59 purchased popcorn. a. State the hypotheses for determining there is a difference in the proportion of adults who purchase popcorn in each age group. b. Calculate the test statistic. c. Calculate the p-value. d. Interpret the p-value. e. State your conclusion. f. Would a confidence interval for the difference in proportions contain zero? Explain without constructing the interval.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Spending on concessions at the movies varies by age of the movie goer. A random sample of 100 adults in their 40's found that 70 purchased popcorn. A random sample of 100 adults less than 40 years old found that 59 purchased popcorn.
a. State the hypotheses for determining there is a difference in the proportion of adults who purchase popcorn in each age group.
b. Calculate the test statistic.
c. Calculate the p-value.
d. Interpret the p-value.
e. State your conclusion.
f. Would a confidence interval for the difference in proportions contain zero? Explain without constructing the interval.
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