For a science fair, Emily conducted an experiment in which she surveyed college students to determine if a majority had a preference for Maruchan ramen noodles compared to other brands. Among 277 surveyed college students 129 reported having a preference for Maruchan ramen noodles. Complete parts (a) through (c). a. Using Emily's sample results, what is the best point estimate for the rate of all college students that have a preference for Maruchan ramen noodles? (Round to three decimal places as needed.) b. Using Emily's sample results, a 95% confidence interval estimate of the proportion of all college students that have a preference for Maruchan ramen noodles was constructed. Which of the following represents this confidence interval using proper notation? O A. 0.407
For a science fair, Emily conducted an experiment in which she surveyed college students to determine if a majority had a preference for Maruchan ramen noodles compared to other brands. Among 277 surveyed college students 129 reported having a preference for Maruchan ramen noodles. Complete parts (a) through (c). a. Using Emily's sample results, what is the best point estimate for the rate of all college students that have a preference for Maruchan ramen noodles? (Round to three decimal places as needed.) b. Using Emily's sample results, a 95% confidence interval estimate of the proportion of all college students that have a preference for Maruchan ramen noodles was constructed. Which of the following represents this confidence interval using proper notation? O A. 0.407
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Transcribed Image Text:For a science fair, Emily conducted an experiment in which she surveyed college students to determine if a majority had a preference for Maruchan ramen noodles compared to other brands. Among 277 surveyed college students
129 reported having a preference for Maruchan ramen noodles. Complete parts (a) through (c).
a. Using Emily's sample results, what is the best point estimate for the rate of all college students that have a preference for Maruchan ramen noodles?
O(Round to three decimal places as needed.)
b. Using Emily's sample results, a 95% confidence interval estimate of the proportion of all college students that have a preference for Maruchan ramen noodles was constructed. Which of the following represents this confidence
interval using proper notation?
O A. 0.407 < p< 0.524
O B. 0.407 <x < 0.524
O C. 0.407 < p<0.524
c. What do the results suggest about whether or not a majority of all college students have a preference for Maruchan ramen noodles?
O A. Since the upper confidence limit is above 0.5, there appears to be evidence that a majority of all college students have a preference for Maruchan ramen noodles.
O B. Since the confidence interval is not entirely above 0.5, there does not appear to be sufficient evidence that a majority of all college students have a preference for Maruchan ramen noodles.
O C. Since the confidence interval is not entirely below 0.5, there appears to be evidence that a majority of all college students have a preference for Maruchan ramen noodles.
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Expert Solution

Step 1
a.
Consider that p is the true population proportion of college students that have a preference for Maruchan ramen noodles, and the point estimate of p is p̂ = x/n, such that, x is the number of favorable cases and n is the sample size.
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