The following MINITAB output presents the results of a hypothesis test for a populationproportion p.Test and CI for One Proportion: XTest of p = 0.4 vs p < 0.4Variable X N Sample p95% Upper Bound Z-Value P-Valueх73 240 0.3041670.353013-3.030.001Is this a one-tailed or two-tailed test?What is the null hypothesis?Can H, be rejected at the 2% level? How can you tell?a.b.C.d.Someone asks you whether the null hypothesis Hg: p 2 0.45 versus H1: p < 0.45 can berejected at the 2% level. Can you answer without doing any calculations? How?Use the output and an appropriate table to compute the P-value for the test of Ho: p s0.25 versus H1: p > 0.25.Use the output and an appropriate table to compute a 90% confidence interval for p.e.f.

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Answered: The following MINITAB output presents…

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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The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?
Also, using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2009 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2009 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?
If, in a one-tail hypothesis test where H0 is only rejected in the upper tail, the p-value=0.6792 and ZSTAT=−0.47,what is the statistical decision if the null hypothesis is tested at the 0.07 level of significance? What is the statistical decision? Since the p-value is Less than or Greater than or equal to a= , Reject , Do not reject H0.
A high school is proud of its advanced chemistry class, in which its 16 students scored an average of 89.3 on the statewide exam, with s = 9. Test the same hypothesis at the .01 level (two-tailed), considering your decision with respect to the null hypothesis, what type of error (Type I or Type II) could you be making?
there is 0.01 and 0.05 alpha level, what is the critical cutoff z scores for both? which one is easier to reject the null hypothesis and why?
You are asked to test the null hypothesis at the .05 level of significance and you end up with z-observed being equal to -1.83. What would be the appropriate decision to make?
In a hypothesis test with hypotheses H0 :pless than or greater than 0.58 and H1 >0.58 , a random sample of size 1,165 produced a sample proportion of 0.6160. The test is to be made at the 2.5% significance level. What is the value of the test statistic, z, rounded to three decimal places?
Consider the following hypothesis test : H0:μ =12.5 Ha:μ ‡12.5 **THAT A sample of size 18 provided a sample mean (12.9) and sample standard deviation is (0.8). a-Compute the test statistic. b-Determine the range of p-value from the table of t-distribution? What is the rejection rule ? and what is your conclusion at α=0.01? c-What is the rejection rule ,using critical vale approach? What is your conclusion at α=0.05?
For a special pre-New Year's Eve show, a radio station personality has invited a small panel of prominent local citizens to help demonstrate to listeners the adverse effect of alcohol on reaction time, thus drinking an alcohol increases reaction time. The reaction times (in seconds) before and after consuming four drinks are in Sheet 11. Test a hypothesis to see if the showman claim is supported by the given data (use alpha=0.01 significance level). Sheet 11 Subject Before After 1 0,32 0,39 2 0,39 0,44 3 0,36 0,49 4 0,41 0,53 5 0,37 0,46 6 0,35 0,39 7 0,37 0,49 8 0,37 0,52 9 0,32 0,43 10 0,39 0,45 11 0,39 0,39 12 0,41 0,49 13 0,32 0,48 14 0,38 0,48 15 0,34 0,4 16 0,35 0,52 Select one: a. The alternative hypothesis that the reaction time before consuming alcohol is less than after is not accepted as the p-value= 0.0000 is less than alpha=0.005 b. The Null hypothesis that the reaction time before consuming alcohol is less than after is rejected…
A random sample of 10 professional athletes produced the following data where X is the number of endorsements the player has and Y is the amount of money made (in millions of dollars). Use the 4 steps of hypothesis testing to see if the prediction is significant with a criteria of alpha=.05 on the following data. x y 0 2 3 8 2 7 1 3 5 13 5 12 4 9 3 9 0 3 4 10
Listed below are the heights (in inches) of fathers and their first sons. The dataare from a journal kept by Francis Galton. Use a 0.05 significance level to testthe claim that there is no difference in heights between fathers and their firstsons. (State the null and alternate hypothesis, the p-value method to make adecision, and write a conclusion based on the results.) Height of Father 72.0 66.0 69.0 70.0 70.0 70.0 70.0 75.0 68.265.0Height of Son 73.0 68.0 68.0 71.0 70.0 70.0 71.0 71.0 70.063.0
In testing hypotheses, which of the following would be strong evidence against the null hypothesis?a. Obtaining data with a test statistic of small magnitude.b. Obtaining data with a small P-value.c. Obtaining data with a large P-value.d. Using a large level of significance, α.e. Using a small level of significance, α

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