Why is it necessary to check that np≥ 5 and nq≥ 5?AO A.It is necessary to check that np≥5 and nq ≥5 to be certain that the minimumvalue of the sample size, n, is met.B.It is necessary to check that np≥5 and nq ≥ 5 because the confidence intervalsestimating the population proportions will overlap if these values are less than 5.C.It is necessary to check that np ≥ 5 and nq ≥ 5 because, if either of the values areless than 5, the distribution may not be normally distributed, thus z cannot beused to calculate the confidence interval.^D.It is necessary to check that np ≥ 5 and nq ≥ 5 because, if either of the values areless than 5, the tails on either side of the left and right endpoints are notaccounted for.

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Answered: Why is it necessary to check that np ≥…

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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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)
24)
Suppose we know that a confidence interval for a population proportion is (0.105,0.355), with a sample proportion of p̂=0.23. What is the margin of error?
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?
Suppose that Tom and Jerry determine confidence intervals using the same confidence level, based on the same sample proportion. Tom uses a larger sample size than Jerry. How will the midpoint and width of the confidence intervals compare? Same midpoint and same width Same midpoint, Tom has a wider interval Same midpoint, Jerry has a wider interval Same width, Tom has a larger midpoint Same width, Jerry has a larger midpoint Tom has a larger midpoint, wider interval Jerry has a larger midpoint, wider interval
11. In professional tennis for 2017 men challenged 2100 calls and 1105 of them were changed. While women challenged 1309 calls and 625 of them were changed. Find a 95% confidence interval for the difference in changed calls for men and women. 12. For problem # 11 conduct a hypothesis test to test the claim that men get more calls changed than women. Use a significance level of .05. 14. Find a 99% confidence interval for the difference in males and females BMI using the following sample data.Female BMI: n=70, mean=29.1, Sx=7.39.Male BMI: n=80, mean=28.38, Sx=5.37.
Jelly beans are packed in boxes of 50, and the overall proportion of black jelly beans is set by the manufacturer to be 0.2. Suppose that 10 boxes of jelly beans are selected at random, and the proportion of black jelly beans in each box determined. a Use your calculator to generate 10 values of the sample proportidn p of black jelly beans in a box. b Use your calculator to find an approximate 80% confidence interval for the population proportion p from each of these values of the sample proportion p. c How many of these intervals contain the value of the population proportion p? d How many of these intervals would you expect to contain the value of the population proportion p? e Suppose that we generate 50 approximate 80% confidence intervals for p. How many of these intervals would you expect to contain the value of the population proportion p?
A graduate Statistic Student wants to estimate the true proportion of county college ("c.c.") students in here state who go on to receive an Associate Degree (AD ), She is able to take a random sample of n = 100 of those c.c. stuents, and 64 of those students received an AD. Find her 90% confidence interval for the true proportion of c.c. students in her state that receive an AD. Be sure to either i)Use full calculator syntax including proper label on your output or i)write down the formula, plug in the appropriate nun bers, and then give the calculated interval including a proper label. 1-prop-Z Int x: 64,n: 100, Clevel.90, interval (.56105,.71895 b. 1-prop-Z Int x: 64,n: 100, Clevel .90, interval (.66105,.71896 1-prop-Z Int x: 64,n: 100, Clevel .90, interval (.51105,.70950 1-prop-Z Int x: 64,n: 100, Clevel .90, interval (.61105,.81105 by C.

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