a. Write out the null and alternative hypotheses for our testin words or in symbols.b. Use the Theory-Based Inference applet to find and report astandardized statistic (t-statistic) and a p-value for the test. 2.2.25 According to a Pew Research Center report from2012, the average commute time to work in California is27.5 minutes. To investigate whether a different average istrue for the small city that she lives in, a California highschool student surveys 45 people she knows-her teachers,her parents and their friends and co-workers-and finds theaverage commute time for this sample to be 24.33 minutes,with a standard deviation of 9.53 minutes.

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Answered: a. Write out the null and 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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Explain, in nontechnical terms, the concepts of statistical significance and Type I and Type II error. Type I Error: Rejecting the null hypothesis when it is in fact a correct hypothesis. Type II Error: Failing to reject the null hypothesis when it is in fact an incorrect hypothesis.
Suppose that a hypothesis test is performed at a small significance level. State the appropriate conclusion in each case by referring to Key Fact 2. a. The null hypothesis is rejected.b. The null hypothesis is not rejected.
suppose a hypothesis test is conducted where the level of significance a= 0.05 and the test results in p- value = 0.04 should the researcher reject the null hypothesis? A. yes because the p-value is less than a b. no should not reject because the p-value is greater than a c. no should not reject because is less than a d. yes should reject because the p-value is greater than a
What is the difference between the null hypothesis and the alternative hypothesis when doing a hypothesis test?
Suppose you are asked to conduct a two-tailed hypothesis test on the population mean. What type of hypothesis test would you use? Why? What assumptions do you need to make about the process when you are conducting a hypothesis test on the population mean in order for your results to be valid?
What does the p-value represent in a test of hypothesis? The p-value represents the significance level of the hypothesis test. The p-value is the probability that the sample data occurred given that the null hypothesis is true. The p-value is the probability that the sample data occurred given that the alternative hypothesis is true. The p-value is the probability that the null hypothesis is true.
A larger treatment effect means the hypothesis test has more power. True or False?
For a hypothesis test, if the p-value for the test statistic is less than the significance level, which one of the following is a correct conclusion? Group of answer choices Reject the null hypothesis. There is enough evidence to conclude the alternative hypothesis is true. Fail to reject the null hypothesis. There is enough evidence to conclude the null hypothesis is true. Reject the null hypothesis. There is not enough evidence to conclude the alternative hypothesis is true. Fail to reject the null hypothesis. There is not enough evidence to conclude the alternative hypothesis is true.
In a(n) ________ test, the null hypothesis should be rejected when the test value is in either of the two critical regions. Explain.
Explain what type of a probabilistic result is conveyed by the P-value.
In the p-value approach, if p-value>α (the level of significance) we reject the null hypothesis. True/False
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim, You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below, At a = 0.01. can vou support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 26 27 30 31 37 23 28 320 29 27 37 32 31 25 31 29 22 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and Ha? O C. Ho: H=31 O A. Ho: H> 31 Hai H531 O B. Ho: H231 Ha:H31 (b) Use technology to find the P-value. P= (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Fail to reject Ho because the P-value is less than the significance level. O B. Reject H because the P-value is less than the…

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a. Write out the null and alternative hypotheses for our test in words or in symbols. b. Use the Theory-Based Inference applet to find and report a standardized statistic (t-statistic) and a p-value for the test.