Question

In: Statistics and Probability

In a 2018 poll conducted by SurveyMonkey, they randomly surveyed 368 students from two- and four-year...

In a 2018 poll conducted by SurveyMonkey, they randomly surveyed 368 students

from two- and four-year institutions across the U.S. According to the survey, 58% purchased at

least one of their textbooks on Amazon. What proportion of all U.S. college students purchased

at least one of their textbooks on Amazon?

a. Use StatCrunch to find a 95% confidence interval: _________________

b. Interpret your confidence interval in words.

c. True or False: A 90% confidence interval would be wider than a 95% confidence interval.

d. If the true proportion of all U.S. college students who purchased at least one of their

textbooks on Amazon was 62%, does our confidence interval support or refute it?

Expert Solution

using excel>addin>phstat>confidence interval

we ahve

Confidence Interval Estimate for the Proportion

Data
Sample Size	368
Number of Successes	213
Confidence Level	95%

Intermediate Calculations
Sample Proportion	0.58
Z Value	-1.9600
Standard Error of the Proportion	0.0257
Interval Half Width	0.0504

Confidence Interval
Interval Lower Limit	0.5296
Interval Upper Limit	0.6304

a. a 95% confidence interval: (0.5296,0.6304)

b. we are 95% confident that the population proportion of all U.S. college students purchased at least one of their textbooks on Amazon lies in between (0.5296,0.6304)

c. False: A 90% confidence interval would be wider than a 95% confidence interval. because it would be narrower

d. If the true proportion of all U.S. college students who purchased at least one of their

textbooks on Amazon was 62%,yes , confidence interval support or refute it because 0.62 is inside confidence interval

orchestra answered 1 year ago

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