When should a hypothesis test be used over a confidenceinterval?When we want a range of possible valuesO When we want to show that a parameter is less/greater/not equalto a valueO Both a and bO None of the above

The use of statistical inference is essential in scientific research and data analysis. When…

Answered: When should a hypothesis test be used…

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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Ezekiel wants to use an interval from a sample based on z-scores to estimate the proportion of seniors in his school who have a smartphone. He takes a MORE of 20 out of the total 100 seniors and finds that 12 of those sampled have a smartphone. What conditions for constructing this confidence interval does Ezekiel's sample satisfy? Choose all the appropriate answers: The data is a random sample from the population of interest The observed scores of successes and failures are large enough Individual observations can be considered independent
Suppose that in a random sample of 600 employed Americans, there are 55 individuals who say that they would fire their boss if they could. Calculate a 90% confidence interval for the population proportion who would fire their boss if they could. (Round the answers to three decimal places.) ______to______
1) When we compute a 95% confidence interval (CI) using a sample meana. 95% of the time it will include the population mean b. we have an interval estimate of population meanc. 5% of the time it will not include the population mean d. we can't be absolutely sure population mean is in the CIe. all the above are correct 2) In R, what argument does the function: str( ) expect? a. name of an object b. proper punctuation c. xlim d. plot e. col=8 f. pch g. The function name h. none of the above
A box model is used to calculate a confidence interval in the following scenario: One thousand high school students in a large city are randomly selected for a survey. Among these students, the average reported GPA is 3.0, and the SD is 1.22. For each of the following quantities in the box model, select the answer if the quantity is estimated, not known. Leave the quantities that are known unselected. a. the SD of GPA of high school students in the sample b. the average GPA of high school students in the sample c. the average GPA of all high school students in the city d. the SD of the tickets in the box
1- A researcher wants to learn the ratio of smoking habit among the university students. Out of 1000 male students 300 of them said "yes I am smoking" and out of 800 female students 200 of them said "yes I am smoking". Construct % 99 confidence interval for the smoking habit for female students. (use three decimal) a) None of them correct 3831o b) 0.250, 0.304 0.236 , 0.318 0.092, 0.130 0.211, 0.289
In constructing a confidence interval estimate for the difference between the means of two normally distributed populations, using two independent samples, we: O do not pool the sample variances when the population variances are unknown and there is no reason to believe that they are equal. O pool the sample variances when the population variances are known and equal. O pool the sample variances when the population variances are unknown and there is reason to believe that they are unequal. O always pool the sample variances.
A corresponding relationship between confidence intervals and two-tailed hypothesis tests also is valid for other parameters, such as p, ?1 − ?2, or p1 − p2, which we will study in later sections.) Whenever the value of k given in the null hypothesis falls outside the c = 1 – α confidence interval for the parameter, we reject H0. For example, consider a two-tailed hypothesis test with ? = 0.01 and H0: ? = 21H1: ? ≠ 21 A random sample of size 30 has a sample mean x = 22 from a population with standard deviation ? = 3. (a) What is the value of c = 1 − ?? Using the methods of Chapter 7, construct a 1 − ? confidence interval for ? from the sample data. (Round your answers to two decimal places.) lower limit upper limit
What is the relationship between confidence intervals and hypothesis testing? When testing H: µ=µ, versus H, : µ+µ, if a 99% confidence interval does not contain Ho, we (Choose one) H, at the level.
Based on a random sample of 100 students at Community College in 95% confidence interval for U the mean age of all students at Community College is 21.2 years to 26.6 years ( 21.2<u<26.6). On the basis of this information decide whether you agree or disagree with each of the following statements explain how you decide. A. According to the confidence interval the mean age of all students at Community College cannot possibly be 23.1 years. B. The 99% confidence interval based on the sample taken above will give a smaller margin of error in the estimate of u. C. If the sample sizes decrease 240 the 95% confidence interval has a larger margin of error than the one obtained above
A confidence interval for the population mean ?� tells us which values of ?� are plausible (those inside the interval) and which values are not plausible (those outside the interval) at the chosen level of confidence. You can use this idea to carry out a test of any null hypothesis ?0:?=?0�0:�=�0 starting with a confidence interval: reject ?0�0 if ?0�0 is outside the interval and fail to reject if ?0�0 is inside the interval. The alternative hypothesis is always two‑sided, ??:?≠?0��:�≠�0 because the confidence interval extends in both directions from ?⎯⎯⎯.�¯. A 95% confidence interval leads to a test at the 5% significance level because the interval is wrong 5% of the time. In general, confidence level ?� leads to a test at significance level ?=1−?.l A medical director found the LDL cholesterol ?⎯⎯⎯=124.86�¯= for an SRS of 72 executives. The standard deviation of the LDL of all adults is ?=40.is . Give a 90% confidence interval for the mean LDL ?� of all executives in this…
Here are summary statistics for randomly selected weights of newborn girls: n= 181, x = 31.8 hg, s = 7.7 hg. Construct a confidence interval estimate of the mean. Use a 90% confidence level. Are these results very different from the confidence interval 30.9 hg <µ< 33.5 hg with only 20 sample values, x 32.2 hg, and s =3.4 hg? What is the confidence interval for the population mean u? hg

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When should a hypothesis test be used over a confidence interval? O When we want a range of possible values When we want to show that a parameter is less/greater/not equal to a value Both a and b