The statement "If there is sufficient evidence to reject a null hypothesis at the 5% significance level, then there is sufficient evidence to reject it at the 10% significance level" is
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- 6. Which of the following statements are true? Report true statement(s), if any. No reasons necessary. You don't need to write out the statement(s) - just write (a), (b) or whatever. (a) A P-value conveys much information about the strength of evidence against the null hypothesis and allows an individual decision maker to draw a conclusion at any specified significance level. (b) If the P-value is greater than the significance level a, we reject the null hypothesis at Jevel a.Passed Failed o Results from a civil servant exam are shown in the table to the right. Is there sufficient evidence to support the claim that the results from the test are discriminatory? Use a 0.01 significance level. White 15 16 candidates Minority candidates 10 24 Determine the null and alternative hypotheses. O A. Hn: Awhite candidate is more likely to pass the test than a minority candidate H, A white candidate is not more likely to pass the test than a minority candidate. O B. Ho: White and minority candidates have the same chance of passing the test H,: White and minority candidates do not have the same chance of passing the test O C. Ho: White and minority candidates do not have the same chance of passing the test. H,: White and minority candidates have the same chance of passing the test. O D. Ho: Awhite candidate is not more likely to pass the test than a minority candidate. H: Awhite candidate is more likely to pass the test than a minority candidate. Determine the test…A random sample of 200 students is taken at the University of Ottawa in order to determine the true proportion p who smoke marijuana. It is observed that 130 smoke marijuana. We wish to test Ho p = 0.75 H₁ p < 0.75 at the 0.05 significance level. The value of the test statistic and the decision are -3.27 reject the null hypothesis 3.27 do not reject the null hypothesis 2.45 reject the null hypothesis -2.45 reject the null hypothesis
- The table below includes results from polygraph (lie detector) experiments conducted by researchers. In each case, it was known if the subjected lied or did not lie, so the table indicates when the polygraph test was correct. Use a 0.05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication. Do the results suggest that polygraphs are effective in distinguishing between truth and lies? TABLE Did the Subject Actually Lie? No (Did Not Lie) Yes (Lied) Polygraph test indicated that the subject lied. 7 41 Polygraph test indicated that the subject did not lie. 18 11 Determine the test statistic. X2 = The P-value isSuppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of blue candies is equal to 25%. Use a 0.01 significance level to test that claim.The test statistic for this hypothesis test is23. The statement “If there is sufficient evidence to reject a null hypothesis at the 5% significance level, then there is sufficient evidence to reject it at the 10% significance level” is (A) Always True (B) Never True (C) Sometimes True; the p-value for the statistical test needs to be provided for a conclusion (D) Not Enough Information; this would depend on the type of statistical test used If you feel the answer is none of the choices given, submit no answer to the question.
- A concerned group of citizens wanted to know if the proportion of armed robberies in Texas was different in 2011 than in 2010. Their research showed that of the 113,231 violent crimes in Texas in 2010, 7,622 of them were armed robberies. In 2011, 7,439 of the 104,873 violent crimes were in the armed robbery category. Test at a 5% significance level.a) The null and alternative hypothesis would be: �0:�2010=�2011�1:�2010≠�2011 �0:�2010=�2011�1:�2010<�2011 �0:�2010=�2011�1:�2010≠�2011 �0:�2010=�2011�1:�2010>�2011 �0:�2010=�2011�1:�2010>�2011 �0:�2010=�2011�1:�2010<�2011 b) Determine the test statistic. Round to two decimals.�=c) Find the p-value and round to 4 decimals.p = d) Make a decision. Fail to reject the null hypothesis Reject the null hypothesis e) Write the conclusion. There is not sufficient evidence to support the claim that the proportion of armed robberies is different in 2011 than 2010. There is sufficient evidence to support the claim that the…A. Suppose we want to test whether or not three means are equal. We want to perform this test with a 8% significance level.If we perform an ANOVA test, what is the probability of the test producing accurate results (avoiding a Type I error)? B. Suppose we, instead, run three separate hypothesis tests (t-tests), each with 8% significance level. Mean 1 = Mean 2Mean 1 = Mean 3Mean 2 = Mean 3What is the probability that all three tests would be accurate? C. Why is an ANOVA test more accurate than 3 different tests?A survey and research company claims that TV network A garnered 31% audience satisfaction. To test the claim, TV network A conducted a survey from 2000 randomly selected viewers all over the country with a 0.05 significance level. Which of the following is the correct null and alternative hypothesis? O a. H.: p > 0.69 Ha:p = 0.69 %3D O b. H.:p 0.31
- A university has decided to introduce the use of plus and minus grading as long as there is evidence that 60% of the faculty is in support of this change. Write an appropriate null hypothesis and alternate hypothesis to test if the proportion is greater than 60%.30. A researcher had originally planned to collect a sample of size 200, and conduct a hypothesis test with a 5% significance level. Now, she has decided instead to collect a sample of size 300, and conduct a hypothesis test with a 1% significance level. How will this change affect the A probabilities of type I and type 2 error? The probability of type 1 error will decrease, and the probability of type 2 error will increase. The probability of both type 1 and type 2 error will decrease. The probability of type 1 error will decrease, but it's impossible to determine whether the probability of type 2 error will increase or decrease. The probability of type 1 error will increase, and the probability of type 2 error will decrease. The probability of type 2 error will decrease, but it's impossible to determine whether the probability of type 1 error will increase or decrease.Past studies have indicated that the percentage of smokers was estimated to be about 33%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1902 people and found that 579 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced. a) Identify the null and alternative hypotheses? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? c) Identify the appropriate significance level. d) Calculate your test statistic (Use ˆpp^ rounded to 4 decimal places). Write the result below, and round your test statistic to 4 decimal places. e) Calculate your p-value. Write the result below, rounded to four decimal places. f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the null hypothesis, since the p-value is not less than the significance level. We…
