If a hypothesis is rejected at the 0.05 levels of significance it
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- 37. In testing hypothesis, which of the following would be strong evidence against the null hypothesis? a) using a small level of significance (alpha level) b) using a large level of significance (alpha level) c) obtaining data with a small P-value d) obtaining data with a large P-valueAccording to the Center for Disease Control (CDC) during the 2018-2019 season the percent of Americans 18 and older who had a flu shot was 45.3%. We did a random sample of 500 Americans and found that 200 out of the 500 had a flu shot. Is there enough evidence at the 5% level that 45.3% or less of Americans 18 or older had a flu shot? Set up the hypothesis test (Ho and Ha): a) Ho: u = 0.453 (The average of Americans who had flu shot is 45.3.) Ha: u < 0.453 (The average of Americans who had flu shot is less than 45.3. b) Ho: p = 0.453 (The proportion of Americans who had flu shot is 45.3%.) Ha: p < 0.453 (The proportion of Americans who had flu shot is less than 45.3%. c) Ho: p = 0.40 (The proportion of Americans who had flu shot is 40%.) Ha: p < 0.40 (The proportion of Americans who had flu shot is less than 40%. d) Ho: p = 0.40 (The proportion of Americans who had flu shot is 40%.) Ha: p not equal to 0.40 (The proportion of Americans who had flu shot is not equal to 40%.)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. Determine the test statistic B. Determine the P-value C.reject or fail to reject H0 D. Determine if the results suggest that all of child booster seats meet the specified requirement.When one changes the significance level of a hypothesis test from 0.10 to 0.05, which of the following will happen? Check all that apply. 1) The chance of committing a Type II error changes from 0.10 to 0.05.2) It becomes easier to prove that the null hypothesis is true.3) It becomes harder to prove that the null hypothesis is true.4) The test becomes less stringent to reject the null hypothesis (i.e. it becomes easier to reject the null hypothesis).5) The chance of committing a Type I error changes from 0.10 to 0.05.6) The chance that the null hypothesis is true changes from 0.10 to 0.05.7) The test becomes more stringent to reject the null hypothesis (i.e., it becomes harder to reject the null hypothesis).If a hypothesis is not rejected at the 5% level of significance, it a) will always be rejected at the 1% level O b) will also not be rejected at the 1% level O c) will sometimes be rejected at the 1% level d) None of these alternatives is correct.
- 4) Which of the following sets of measures of association represent the values of the null hypotheses? (note: RD = Risk Difference which is synonymous with Attributable Risk) a) RD>0, RR>1, OR>1 b) RD=0, RR=1, OR=1 c) RD#0, RR#0, OR#0 d) RD 1, RR#1, OR#1 e) None of the above3. A researcher designs a study to test the hypotheses ??0: ?? = 28 versus ????: ?? < 28. A random sample of 50 measurements from the population of interest yields ??� = 25.9 and s = 5.6. Using α = 0.05 b) What is the value of the test statistic? c) If the classical approach is used, which decision rule do you use? d) What is your conclusion of this hypothesis test? e) If a p-value approach is required, what is the p-value equal to?The Eastern and Western Major League Soccer conferences have a new Reserve Division that allows new players to develop their skills. Data for a randomly picked date showed the following annual goals for six different teams in each division. Eastern Western 9 9 3 8 4 7 3 6 4 5 4 3 Does the data show there is a difference in the annual goals for the eastern and western divisions? Test the claim at the 0.05 significance level.a) The null and alternative hypothesis would be: �0:��=���1:��>�� �0:��=���1:��≠�� �0:��=���1:��>�� �0:��=���1:��<�� �0:��=���1:��<�� �0:��=���1:��≠�� b) Determine the test statistic. Round to two decimals.�=c) Find the p-value and round to 4 decimals.p =
- 18. Find the rejection region for the standardized test statistic for each hypothesis test: 1) Ho:u = 27; H1: µ 105 at the a=0.01 level of significance.3. The producers of a new toothpaste want to see if it is performing similar to their main whitening toothpaste in preventing cavities. Their main whitening tooth paste performance at a six-month checkup is i.73 (o-1.12). To test the new tooth paste, 60 people used it for six-months. At the checkup they found a mean of 1.5 cavities. Perform the appropriate hypothesis testing. Make sure to include all the steps (hypotheses, critical values, calculations, conclusions an interpretations). 0.0 68Past studies have indicated that the percentage of smokers was estimated to be about 34%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 1807 people and found that 574 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? Но: ? H1: ? v b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed O right-tailed O two-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places. f) Do you reject the null hypothesis? O We reject the null hypothesis, since the p-value is less than the significance level. O We reject the null hypothesis,…