For the one-sided alternative hypothesis β2 < 0 and 1% rejection rule (i.e., at the 1% level), would you reject, or accept, the null hypothesis that β2 = 0. Suppose a data set of 200 observations (n = 200) was analyzed using OLS toexamine the relationship between CEO salary and various measures of firmperformance. The regression results are as follows, with standard errors inparentheses:logy = 5+ 0.2logx₁0.03x₂ +0.002x3(0.2) (0.04)(0.004)where?(0.009)y = CEO salary in thousands of dollarsX₁ = annual firm salesX₂ = percentage of sales lost to competitorsX3 = return on stock in percentR² = 0.290Suppose you want to test the null hypothesis that percentage of sales lost tocompetitors has no ceteris paribus effect on the salaries of CEOs.

We have given a regression equation that :Where,Y= CEO salary in thousands of dollarsx1 =annual…

Answered: For the one-sided alternative…

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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Last year 46% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicated that 35% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. For hypothesis: H0: p >= .46 ; Ha:p < .46 , compute the P-value that could be used to determine whether the proportion of business owners providing holiday gifts has decreased from last year.
It has recently been claimed that 25% of adults consider spring to be their favorite season of the year. A researcher is skeptical of this claim and believes this percentage is too low. She surveys a random of 1,000 adults and finds that 390 of these adults consider spring to be their favorite season of the year. As she prepares to conduct a hypothesis test, the researcher writes out her alternative hypothesis as “p < 0.25.” What is wrong with this? The alternative hypothesis should be “p > 0.39.” The alternative hypothesis should be “p < 0.39.” The alternative hypothesis should be “p > 0.25.” The alternative hypothesis should be “p = 0.25.” Nothing is wrong with the given alternative hypothesis.
Suppose an experiment is done with criminals released from prison in a certain state where the recidivism rate is 32%; that is, 32% of criminals return to prison within three years. One hundred random prisoners are made to attend a "boot camp" for two weeks before their release, and it is hoped that "boot camp" will have a good effect. Suppose 27 of those prisoners return to prison within three years. The null hypothesis is that those attending boot camp have a recidivism rate of 32%, p= 0.32. Complete parts (a) through (c) below. a. What is p, the sample proportion of successes? (It is somewhat odd to call returning to prison a success.) p-(Type an integer or a decimal. Do not round.) b. What is po, the hypothetical proportion of success under the null hypothesis? Po = 0.32 (Type an integer or a decimal. Do not round.)
A major auto dealer has recently unleashed a new advertising campaign for its line of 4-wheel-drive vehicles. Knowing that previously 31% of all people who saw the commercial and came to visit the dealership purchased one of those cars, they would like to see if the new commercial improves on those chances. Let p represent the proportion of all car buyers who would see the new ad and then purchase that car, so that the null hypothesis is p = 0.31. LUSE SALT (a) Which of these is the correct alternative hypothesis? ⒸH:p> 0.31 OH: P = 0.31 OH: P<0.31 OH: P+ 0.31 (b) Suppose a sample of 50 people see the ad and 40% of those purchase the car. Is 40% a parameter or a statistic? O parameter statistic (c) Suppose 40% of a sample of 50 consumers purchase the car. That would lead to what P-value in deciding whether you have sufficient evidence that the new ad is an improvement over the old one? (Use a table or technology. Round your answer to four decimal places.) P-value = (d) Suppose that 40%…
A sample of n = 25 scores produces a t statistic of t = +2.052. If the researcher is conducting a two-tailed hypothesis test, which of the following is the correct statistical decision? The researcher should reject the null hypothesis with α = .05 but not with α = .01. The researcher should reject the null hypothesis with either α = .05 or α = .01. The researcher should fail to reject the null hypothesis with either α = .05 or α = .01. This is impossible to determine based on the provided information.
You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly more than 0.14. You use a significance level of α=0.001α=0.001. H0:p=0.14H0:p=0.14 H1:p>0.14H1:p>0.14You obtain a sample of size n=304n=304 in which there are 53 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is more than 0.14. There is not sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for…
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Suppose that we have a problem for which the null and alternative hypothesis are given by: H0: μ = $1250. H1:μ ≠ $ 1250 Is this a right-tailed test, left-tailed test, or two-tailed test. Find the z value based on a level of significance of α=.12.
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You are conducting a study to see if the probability of catching the flu this year is significantly less than 0.22. You use a significance level of α=0.005α=0.005. H0:p=0.22H0:p=0.22 H1:p<0.22H1:p<0.22You obtain a sample of size n=430n=430 in which there are 77 successes.What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This p-value leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is less than 0.22. There is not sufficient evidence to warrant rejection of the claim that the probability of catching the flu this year is less than 0.22. The sample data support the claim that the probability of catching the flu this year is less than 0.22. There is not sufficient sample…
Prof. Johnson conducts a hypothesis test on whether the proportion of all UBC students who bike to school (denoted as p)�) equals 30%. Specifically, Prof.Johnson has H0:p=0.3�0:�=0.3 versus HA:p≠0.3��:�≠0.3. He obtains a P�-value of 0.01. On the other hand, Prof. Smith would like to test if there is sufficient evidence to support that p� is greater than 0.3 at the 10% significance level. Based on Prof. Johnson's result, will the null hypothesis of Prof. Smith's test be rejected?A. Yes.B. No.C. There is insufficient information to tell.

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