The confidence level is denoted by alpha or a refers to the degree of significance in which we accept or reject the null hypothesis. Your answer When the computed t or z value is at the right of the critical value, rejecting the null hypothesis is correct. (given the alternative hypothesis uses the phrase "higher than") Your answer Alternative hypothesis is a claim that denotes an presence of difference presence of relationship or inequality to a certain value. Your answer One-tailed test is a test where Ha specifies a directional difference for the parameter of interest. Your answer

The confidence level is denoted by alpha or a refers to the degree of significance in which we accept or reject the null hypothesis. Your answer When the computed t or z value is at the right of the critical value, rejecting the null hypothesis is correct. (given the alternative hypothesis uses the phrase "higher than") Your answer Alternative hypothesis is a claim that denotes an presence of difference presence of relationship or inequality to a certain value. Your answer One-tailed test is a test where Ha specifies a directional difference for the parameter of interest. Your answer

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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Joachim, a third student, noted that the confidence interval in part (a) gives plausible values of the parameter as an interval between two values. He suggested that they develop a one-sided confidence interval because they were only concerned with whether the number 6 was landing face up more often than expected, not less often. The one sided-interval will determine a value L such that all plausible values of p are greater than L. The formula for L is L=pˆ+z∗pˆ(1−pˆ)n−−−−−√. (i) Determine the values of z∗ needed to create the one-sided 95 percent confidence interval. Then calculate the value of L. (ii) Do the results of Joachim’s one-sided confidence interval agree with results of Aurelia’s significance test in part (b)? Explain your reasoning.
A sample is used to obtain a 94% confidence interval for the mean of a population as (70, 74). If the same sample had been used to test the null hypothesis that the mean of the population is equal to 75 versus the alternative hypothesis that the mean of the population differs from 75, which one of the following statements is true? a. the null hypothesis could not be rejected at a level of significance of 0.10. b. the null hypothesis could be rejected at a level of significance of 0.02. c. the null hypothesis could be accepted at a level of significance of 0.01. d. the null hypothesis could not be rejected at a level of significance of 0.06. e. None of the suggested answers are correct
A research group wants to estimate the proprtion, p, of americans who can speak a language other than English. By referencing past data, the group belive that more than 45% of Americans can do so. a. state the null and alternative hypotheses for testing the group's belief/ b. If the value of the test statistic is approximately 1.46, what is the conslusion (reject H0 of fail to reject H0) of the hypotesis test? with a-0.05 c. If the true balue of is 48%, did the researchers make an error? if so what type?
A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 581 randomly selected Americans surveyed, 406 were in favor of the initiative. Round answers to 4 decimal places where possible. a. With 95% confidence the proportion of all Americans who favor the new Green initiative is between __?__ and __?__. b. If many groups of 581 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About __?__ percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about __?__ percent will not contain the true population proportion.
Suppose that your 95% confidence interval for p is (0.68, 0.74). Based on the confidence interval what would your decision be for the hypothesis test H0: p=0.8 versus H1:p≠0.8 at the α=0.05 level?
"Trydint" bubble-gum company claims that 4 out of 10 people prefer their gum to "Eklypse". Test their claim at the 95 confidence level.The null and alternative hypothesis in symbols would be: H0:μ≥0.4H0:μ≥0.4H1:μ<0.4H1:μ<0.4 H0:p=0.4H0:p=0.4H1:p≠0.4H1:p≠0.4 H0:p≤0.4H0:p≤0.4H1:p>0.4H1:p>0.4 H0:p≥0.4H0:p≥0.4H1:p<0.4H1:p<0.4 H0:μ≤0.4H0:μ≤0.4H1:μ>0.4H1:μ>0.4 H0:μ=0.4H0:μ=0.4H1:μ≠0.4H1:μ≠0.4 The null hypothesis in words would be: The average of people that prefer Trydint gum is 0.4. The proportion of people in a sample that prefers Trydint gum is 0.4. The proportion of all people that prefer Trydint gum is less than 0.4. The proportion of all people that prefer Trydint gum is greater than 0.4. The proportion of people in a sample that prefer Trydint gum is not 0.4 The average of people that prefer Trydint gum is not 0.4. The proportion of all people that prefer Trydint gum is 0.4 Based on a sample of 130 people, 49 said they prefer "Trydint" gum to…
"Trydint" bubble-gum company claims that 7 out of 10 people prefer their gum to "Eklypse". Test their claim at the 90 confidence level.The null and alternative hypothesis in symbols would be: H0:μ≥0.7H0:μ≥0.7H1:μ<0.7H1:μ<0.7 H0:p≤0.7H0:p≤0.7H1:p>0.7H1:p>0.7 H0:μ=0.7H0:μ=0.7H1:μ≠0.7H1:μ≠0.7 H0:p=0.7H0:p=0.7H1:p≠0.7H1:p≠0.7 H0:μ≤0.7H0:μ≤0.7H1:μ>0.7H1:μ>0.7 H0:p≥0.7H0:p≥0.7H1:p<0.7H1:p<0.7 The null hypothesis in words would be: The proportion of people in a sample that prefer Trydint gum is not 0.7 The proportion of all people that prefer Trydint gum is 0.7 The proportion of people in a sample that prefers Trydint gum is 0.7. The proportion of all people that prefer Trydint gum is greater than 0.7. The average of people that prefer Trydint gum is 0.7. The average of people that prefer Trydint gum is not 0.7. The proportion of all people that prefer Trydint gum is less than 0.7. Based on a sample of 200 people, 112 said they prefer "Trydint" gum to…
Here are summary statistics for randomly selected weights of newborn girls: n equals 158,x overbar equals 29.4 hg,s equals 7.9 hg. Construct a confidence interval estimate of the mean. Use a 90% confidence level. Are these results very different from the confidence interval 27.9 hg less than mu less than 31.7 hg with only 13 sample values, x over bar equals 29.8 hg, and s equals 3.8 hg? a. What is the confidence interval for the population mean mu? hg less than mu less than hg (Round to one decimal place as needed.)
Ellie and Alec are each attempting to estimate the proportion of coffee drinkers who consume more than one cup of coffee per day. They each obtain a random sample of coffee drinkers, and, in each sample, the proportion who drink more than one cup of coffee per day is 0.40. Ellie and Alec each use their sample data to construct a confidence interval. Ellie’s interval is from 0.286 to 0.514, and Alec’s interval is from 0.346 to 0.474. One of these intervals was computed correctly, but the other was not. Which interval must be incorrect? A. Ellie’s interval must be incorrect. B. Alec’s interval must be incorrect. C. It’s impossible to answer this question without knowing the level of confidence used for each interval. D. It’s impossible to answer this question without knowing the sample sizes. E. It’s impossible to answer this question without knowing the sample sizes or the level of confidence used for each interval.
"Trydint" bubble-gum company claims that 7 out of 10 people prefer their gum to "Eklypse". Test their claim at the 99 confidence level.The null and alternative hypothesis in symbols would be: H0:μ≤0.7H0:μ≤0.7H1:μ>0.7H1:μ>0.7 H0:μ=0.7H0:μ=0.7H1:μ≠0.7H1:μ≠0.7 H0:p=0.7H0:p=0.7H1:p≠0.7H1:p≠0.7 H0:p≥0.7H0:p≥0.7H1:p<0.7H1:p<0.7 H0:p≤0.7H0:p≤0.7H1:p>0.7H1:p>0.7 H0:μ≥0.7H0:μ≥0.7H1:μ<0.7H1:μ<0.7 The null hypothesis in words would be: The proportion of all people that prefer Trydint gum is greater than 0.7. The proportion of people in a sample that prefer Trydint gum is not 0.7 The average of people that prefer Trydint gum is not 0.7. The proportion of all people that prefer Trydint gum is less than 0.7. The proportion of people in a sample that prefers Trydint gum is 0.7. The proportion of all people that prefer Trydint gum is 0.7 The average of people that prefer Trydint gum is 0.7. Based on a sample of 490 people, 329 said they prefer "Trydint" gum to…
A study shows that men are most likely to say that they feel “fit” if their overall body fat percentage is less than 17%. A 95% confidence interval is given below for µ, the mean body fat percentage of men of various ages. Use the interval to determine the conclusion (reject or fail to reject the null hypothesis) to a hypothesis test of H0: µ = 17 vs Ha: µ < 17. For men in their 20’s, the 95% confidence interval was 11.68 to 16.78. For men in their 30’s, the 95% confidence interval was 15.14 to 20.03.
Suppose a 95% confidence interval for the proportion of Americans who exercise regularly is 0.29 to 0.37. Which one of the following statements is FALSE? Select one: a. It is reasonable to say that fewer than 40% of Americans exercise regularly. b. The hypothesis that 33% of Americans exercise regularly cannot be rejected. c. It is reasonable to say that more than 25% of Americans exercise regularly. d. It is reasonable to say that more than 40% of Americans exercise regularly.