Why is it necessary to check that np ≥ 5 and nq ≥ 5?OA. It is necessary to check that nô≥ 5 and nq ≥ 5 because the confidence intervals estimating the populationproportions will overlap if these values are less than 5.OB. It is necessary to check that no 25 and nq 25 to be certain that the minimum value of the sample size, n, ismet.OC. It is necessary to check that no 25 and nq 25 because, if either of the values are less than 5, the distributionmay not be normally distributed, thus z cannot be used to calculate the confidence interval.OD. It is necessary to check that no 25 and nq 25 because, if either of the values are less than 5, the tails oneither side of the left and right endpoints are not accounted for.

Why is it necessary to check that np^ ≥ 5 and nq^≥5?

Answered: Why is it necessary to check that no 25…

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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24. The CDC took a random sample of 530 people that lived near high-voltage towers. Of these people, they found that 345 developed some form of cancer. Find the sample statistic and based on a 95% confidence interval find the margin of error and confidence interval for all people who live near high- voltage towers and develop cancer is = confidence interval m.o.e. = ay.
If 64 out of 320 people received fruit in addition to candy what are the 95% confidence interval values? (0.14863, 0.15137) (0.14825, 0.15175) (0.19902, 0.20098) (0.15617, 0.24383) (0.09063, 0.20937) (0.09638, 0.20362) 0000
A marketing consultant wants to estimate the proportion of all shoppers at a certain mall who make at least one purchase. He stands at a mall exit for two hours on a weekday afternoon and flips a coin each time a shopper leaves. If the coin comes up heads, he asks them if they have made any purchases during this visit. After two hours, he has 132 responses, 104 of whom made a purchase. Which condition for constructing a confidence interval for a proportion has the consultant failed to satisfy? O The data is a random sample from the population of interest. On> 30 O np 2 10 O n(1 - p) 2 10 O The sample is less than 10% of the population.
С. Consider another brand C of car tyres. From a random sample of 36 car tyres, it has been found that 26 of these car tyres last longer than 40,000 km. Find a 95% confidence interval corresponding to the sample proportion of brand C car tyres which last longer than 40,000 km. Give values correct to three decimal places.
Nina would like to estimate the difference in the mean amount of time students spend on math homework at her public school versus her cousin Sharon’s private school. To do so, each girl selects a random sample of 30 students from their large schools and asks the selected students how much time they spent doing math homework the previous night. Nina and Sharon would like to construct a 90% confidence interval for the true difference in the population means. Are the conditions for inference met? Yes, all three conditions for inference are met. No, the random condition is not met for both samples. No, the 10% condition is not met for both samples. No, the Normal/large sample condition is not met for both samples.
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?
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.

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