A psychologist has developed a new aptitude test and claims more than 75% of the public should score above 50 on the test. From a sample of 200 people, 164 scored above 50. Is there statistical evidence to support the psychologist’s claim? Use a = 0.01. 1. Identify the parameter 5. р-value 2. Null Hypothesis 3. Alternative Hypothesis
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- College administrators at the same institution are further concerned about the differences in binge drinking behaviors among men and women on campus. Suppose of the 268 participants surveyed about their drinking habits that reported binge drinking behaviors, 94 were female. Is there statistically significant evidence at the alpha level of 0.05 that males partake in binge drinking behaviors more so than females involved in Greek life organizations? Write out your null and alternative hypotheses and interpret your results. A. Hypotheses: H0: p=0.50 and Ha: p<0.50 B. Test Statistic: (Normal approximation to the binomial is used) ���^ = 0.03054 zstat= -4.88678 C. P-value: P < 0.0002 D. Significance level: Are the results significant? Group of answer choices Yes, the evidence against H0 is not sufficient to warrant its rejection. Yes, the evidence against H0 is sufficient to warrant its rejection. No, the evidence against H0 is not sufficient to…Past studies have indicated that the percentage of smokers is estimated to be about 35%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced.a) If you going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses?H0: _______ H1: _______ b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailedA hypothesis test is to be performed. Determine the null and alternate hypotheses. In 1994 , the average duration of long-distance telephone calls originating in one town was 7.6 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1994 mean of 7.6 minutes. H0 : =μ7.6 minutes H1 : <μ7.6 minutes H0 : =μ7.6 minutes H1 : ≠μ7.6 minutes H0 : =μ7.6 minutes H1 : >μ7.6 minutes H0 : ≠μ7.6 minutes H1 : =μ7.6 minutes
- a hospital claims that the proportion, p, of full-term babies born in their hospital that weigh more than 7 pounds is 41%. In a random sample of 210 babies born in the hospital, 102 weighed over 7 pounds. Is there enough evidence to reject the hospital's claim at the 0.5 level of significance? a. State the null hypothesis H0 and the alternative hypothesis H1.b.Determine the type of test statistic to use c. Find the value of the test statistic. Round to three or more decimals.d. Find the p-value (round to three decimal places)e. Can we reject the claim that the proportion of full-term babies born in the community that weigh more than 7 pounds is 41%?In the past, the mean running time for a certain type of flashlight battery has been 9.6 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has decreased as a result. A hypothesis test is to be performed. Determine the null and alternative hypotheses. A. H0: µ ¥ 9.6 hours and H1: µ = 9.6 hours B. H0: µ = 9.6 hours and H1: µ ¥ 9.6 hours C. H0: µ = 9.6 hours and H1: µ > 9.6 hours D. H0: µ = 9.6 hours and H1: µ < 9.6 hoursSolve the problem. 13)A researcher wants to know whether athletic women, on average, are more flexible than non-athletic women.For this experiment, a woman who exercised vigorously at least four times per week was considered "athletic."Flexibility is measured in inches on a sit & reach box. Test the researcher's claim using the following summarystatistics:Assume that all conditions for testing have been met. Report the test statistic and p-value. At the 1%significance level, state your decision regarding the null hypothesis and your conclusion about the originalclaim. Round all values to the nearest thousandth.H0:________________________ Ha:_______________________p-value = ___________ Compare the p-value and Į:________________Decision:_________________________Conclusion:_______________________________________________________________________________________
- A magazine reported that at the top 50 business schools in a region, students studied an average of 11.2 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 11.2-hour benchmark. State the null and alternative hypotheses. Choose the correct answer below. A. H0: X=11.2 H1: X≠11.2 B. H0: μ=11.2 H1: μ≠11.2 C. H0: α≠11.2 H1: β=11.2 D. H0: α=11.2 H1: α≠11.2 E. H0: β≠11.2 H1: β=11.2 F. H0: β=11.2 H1: β≠11.2 G. H0:μ≠11.2 H1: μ=11.2 H. H0:μ≠11.2 H1: X=11.2 I. H0:μ=11.2 H1:X≠11.2 J. H0: X≠11.2 H1: X=11.2 K. H0:α≠11.2 H1: α=11.2 L. H0:α=11.2 H1:β≠11.2 What is a Type I error for your test? A. Concluding that the mean number of hours studied at your school is not different from the reported 11.2-hour benchmark when in fact it is not different B. Concluding that the…The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with ? = 7. A random sample of 92 matchboxes shows the average number of matches per box to be 42.2. Using a 1% level of significance, can you say that the average number of matches per box is more than 40? (a) Find (or estimate) the P-value. (b) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? (Select below). At the ? = 0.01 level, we reject the null hypothesis and conclude the data are fewer than 40 matches per box. At the ? = 0.01 level, we reject the null hypothesis and conclude that there are more than 40 matches per box. At the ? = 0.01 level, we fail to reject the null hypothesis and conclude that there are fewer than 40 matches per box. At the ? = 0.01 level, we fail to reject the null hypothesis and conclude that there are more than 40 matches per box.The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.1% of American adults suffer from depression or a depressive illness. Suppose that in a survey of 2000 people in a certain city, 10.5% of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that city suffering from depression or a depressive illness is more than the 9.1% in the general adult American population. Test the relevant hypotheses using a 1% level of significance. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: H1: b. Based on the hypotheses, find the following: c. Test Statistic = d. p-value = e. Based on the above we choose to f. The correct summary would be:
- Country Financial, a financial services company, uses surveys of adults age 18 and older todetermine if personal financial fitness is changing over time (Usa today, April 4, 2012). InFebruary 2012, a sample of 1000 adults showed 410 indicating that their financial securitywas more than fair. In February 2010, a sample of 900 adults showed 315 indicating thattheir financial security was more than fair.a. State the hypotheses that can be used to test for a significant difference between thepopulation proportions for the two years.b. What is the sample proportion indicating that their financial security was more thanfair in 2012? In 2010?c. Conduct the hypothesis test and compute the p-value. At a .05 level of significance,what is your conclusion?Country Financial, a financial services company, uses surveys of adults age 18 and older todetermine if personal financial fitness is changing over time (Usa today, April 4, 2012). InFebruary 2012, a sample of 1000 adults showed 410 indicating that their financial securitywas more than fair. In February 2010, a sample of 900 adults showed 315 indicating thattheir financial security was more than fair.a. State the hypotheses that can be used to test for a significant difference between thepopulation proportions for the two years.Country Financial, a financial services company, uses surveys of adults age 18 and older todetermine if personal financial fitness is changing over time (Usa today, April 4, 2012). InFebruary 2012, a sample of 1000 adults showed 410 indicating that their financial securitywas more than fair. In February 2010, a sample of 900 adults showed 315 indicating thattheir financial security was more than fair.a. State the hypotheses that can be used to test for a significant difference between thepopulation proportions for the two years.b. What is the sample proportion indicating that their financial security was more thanfair in 2012? In 2010?