1. The manager of a local fast-food restaurant is concerned about customers who ask for a water cup when placingan order but fill the cup with a soft drink from the beverage fountain instead of filling the cup with water. Themanager selected a random sample of 80 customers who asked for a water cup when placing an order and observedthat 35% of those customers filled the cup with a soft drink from the beverage fountain. Construct and interpret a 95%confidence interval for the true proportion of all customers who, having asked for a water cup when placing an order,will fill the cup with a soft drink from the fountain instead.

Step 1: Step 2: Step 3: Step 4:

Answered: 1. The manager of a local fast-food…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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2) A random sample of 120 students at a high school was asked whether they would ask their father or mother for help with a homework assignment in science. A second random sample of 150 different students was asked the same question for an assignment in history. Fifty-four students in the first sample and 72 students in the second sample replied that they turned to their mother rather than their father for help. Construct a 99% confidence interval for the difference of the two proportions and express it as . (Round both numbers to the 4th decimal plac
Ms. Rains believes more seniors from PLD plan to attend college than seniors at Lafayette. In a random sample of 35 PLD seniors, 21 responded they plan to attend college. In a random sample of 32 Lafayette seniors only 17 responded they plan to attend college. Using a 95% confidence interval, predict the true difference in the proportion of seniors at PLD and Lafayette who plan to attend college and comment on Ms. Rains' belief.
Construct a 95% confidence interval for p1 - p2 for a survey that finds 30% of 240 males and 41% of 200 females are opposed to the death penalty. Group of answer choices a.(-0.200, -0.021) b.(-1.532, 1.342) c.(-1.324, 1.512) d.(-0.561, 0.651)
According to some car loan statistics, 44% of Americans are relying on an auto loan to pay for their cars. Assuming this finding to be based on a simple random sample of 1500 Americans, construct and interpret the 95% confidence interval for the population proportion of Americans who have a car loan.
7. A company that has many department stores in the southern states wanted to find at two such stores the percentage of sales for which at least one of the items was returned. A sample of 800 sales randomly selected from Store A showed that for 280 of them at least one item was returned. Another sample of 900 sales randomly selected from Store B showed that for 279 of them at least one item was returned. a. Construct a 98% confidence interval for the difference between the proportions of all sales at the two stores for which at least one item is returned. b. Using the 10% significance level, can you conclude that the proportions of all sales for which at least one item is returned is higher for Store A than for Store B?
A genetic experiment with peas resulted in one sample of offspring that consisted of 425 green peas in a 162 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. it was expected at 25% of the offspring peas would be yellow. Given the percentage of offspring yellow peas is not 25%, do the results contradict expectations?
A newspaper article reported that 400 people in one state were surveyed and 70% were opposed to a recent court decision. The same article reported that a similar survey of 500 people in another state indicated opposition by only 40%. Construct a 95% confidence interval of the difference in population proportions based on the data.
Credit card ownership varies across age groups. Suppose that the estimated percentage of people who own at least one credit card is 64% in the 18–24 age group, 84% in the 25–34 age group, 75% in the 35–49 age group, and 77% in the 50+ age group. Suppose these estimates are based on 465 randomly selected people from each age group. (a) Construct a 95% confidence interval for the proportion of people in the 18–24 age group who own at least one credit card. (Round your answers to four decimal places.) to Construct a 95% confidence interval for the proportion of people in the 25–34 age group who own at least one credit card. (Round your answers to four decimal places.) to Construct a 95% confidence interval for the proportion of people in the 35–49 age group who own at least one credit card. (Round your answers to four decimal places.) to Construct a 95% confidence interval for the proportion of people in the 50+ age group who own at least one credit card. (Round your answers to four…
A market research business is interested in testing the hypothesis that the proportion of students who own a car is smaller for the local university campus than for the local private college. They interviewed 240 students from the university and 250 students from the private college. The number of students who owned a car was 162 at the university and 183 at the private college. Construct a 99% confidence interval for the difference in the true proportions of students who own cars at the two campuses (rounded off to three decimals).

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