9.26 According to the U.S. Bureau of Labor Statistics, all workers in America who had a bachelor's degree and were employed earned an average of $1 224 a week in 2014. A recent sample of 400 American workers who have a bachelor's degree showed that they earn an aver- age of $1260 per tion of such earnings is $160. a. Find the p-value for the test of hypothesis with the alternative hypothesis that the current mean weekly earning of American workers who have a bachelor's degree is higher than $1224 Will you reject the null hypothesis at a .025? b. Test the hypothesis of part a using the critical-value approach and α week. Suppose that the population standard devia- 025
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- In a study that compared average time taken by a men and women to do a certain job, a random sample of 13 men and 13 women at a large industrial complex was taken and the following results were obtained. Men Women ?̅ = 54 ??????? ?̅ = 42 ??????? ? = 6 ??????? ? = 8 ??????? Can we conclude that at 0.01 level that women do the job on average 10 minutes earlier than men? Assume the populations to be normally distributed with equal variances.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?A sample of men and women who had passed their driver's test either the first time or the second time were surveyed, with the following results: Results of the driving testGender First time Second timeMen 126 211Women 135 178a) Do these data suggest that there is a relationship between gender and the passing of their driver’s test from which the present sample was drawn? Let alpha=.05
- 31% of all pygmy softshell toises have stripes on their shells. A herpetologist in Cititon collects a sample of 28 pygmy softshell tortoises and finds that 8 of them have stripes on their shells. Is there enough evidence to conclude, at a significance of alpha=0.05, that the proportion of pygmy softshell tortoises in Cititon with stripes on their shells is less than 31%? What is the claim? What is the null hypothesis? What is the alternative hypothesis? What is the test statistic? What is/are the critical value(s)? Do we reject the null hypothesis? What conclusion do we draw? What is the P-value for the problem above?A researcher administers a treatment to a sample from a population with a mean of m=50. If the treatment is expected to increase scores and a one-tailed test is used to evaluate the treatment effect, the the null hypothesis states that m=40. True or false?Suppose a research study uses two independent groups with 21 individuals in each group. If a t-test analysis produces a calculated value of t of 1.68, which of the following is the correct decision?A. At the .05 level of significance, reject the null hypothesisB. At the .01 level of significance, reject the null hypothesisC. At the .05 level of significance, fail to reject the null hypothesisD. Impossible to answer without additional information
- The paper "Living Near Nuclear Power Plants and Thyroid Cancer Risks"† investigated whether living near a nuclear power plant increases the risk of thyroid cancer. The authors of this paper concluded that there was no evidence of increased risk of thyroid cancer in areas that were near a nuclear power plant. (a) Let p denote the proportion of the population in areas near nuclear power plants who are diagnosed with thyroid cancer during a given year. The researchers who wrote this paper might have considered the two rival hypotheses of the form below. H0: p is equal to the corresponding value for areas without nuclear power plants Ha: p is greater than the corresponding value for areas without nuclear power plants Did the researchers reject H0or fail to reject H0?The researchers rejected H0. The researchers failed to reject H0. (b) If the researchers are incorrect in their conclusion that there is no evidence of increased risk of thyroid cancer associated with living near a nuclear…Researchers conducted an experiment in which people with a certain condition were given either a drug or a placebo to treat the condition. At the significance level of α=0.01α=0.01, a test of the following hypotheses was conducted. H0:pD=pPHa:pD>pPH0:pD=pPHa:pD>pP In the hypotheses, pDpD represents the proportion of all people who experience an allergic reaction while taking the drug, and pPpP represents the proportion of all people who experience an allergic reaction while taking the placebo. All conditions for inference were met, and the resulting pp-value was 0.12. Which of the following is the correct decision for the test? The pp-value is less than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of people with an allergic reaction will be greater for those taking the drug than for those taking the placebo. A The pp-value is less than αα, and the null hypothesis is rejected. There is…One survey showed that among 766 randomly selected subjects who completed four years of college, 18.3% smoke and 81.7% do not smoke. Use a 0.01 significance level to test the claim that the rate of smoking among those with four years of college is less than the 27% rate for the general population. . Calculate the P-value. Which of these options is closest to the P-value? A. 0.0005 B. 0.9999 C. 0.5000 D. 0.0001 e. State the technical conclusion. A. Do not reject Upper H 0 B. Reject Upper H 0 f. State the final conclusion. A. The sample data support the claim. B. There is sufficient evidence to warrant rejection of the claim. C. There is not sufficient evidence to warrant rejection of the claim. D. There is not sufficient sample evidence to support the claim. g. Based on the results, does it appear that those who completed four years of college…
- 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?A researcher conducts a study measuring 15 children before and after they attend a math intervention program to increase standardized math scores. The researcher obtains a t statistic of 2.98. For a two-tailed alternative hypothesis, which of the following is the correct way to present this analysis?12. A researcher conducts an independent-measures studycomparing two treatments and reports the t statistic ast(30) 2.085.a. How many individuals participated in the entire study?b. Using a two-tailed test with .05, is there asignificant difference between the two treatments?c. Compute r2 to measure the percentage of varianceaccounted for by the treatment effect.