Concept explainers
For Exercises 1 through 20, perform each of the following steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.
2. Travel Times to Work Based on information from the U.S. Census Bureau, the
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- You are given the following hypotheses H 0 :p=0.3 H A :p not equal 0.3 We know that the sample size 90. For what sample proportion would the pvalue be equal to 0.1? Assume that all conditions necessary for Inference are satisfied.arrow_forwardState the null and alternative hypotheses to be used in testing the following claims also explain type of test.(a) At most, 20% of next year’s wheat crop will be exported to the Soviet Union.(b) On the average, American homemakers drink 3 cups of coffee per day.(c) The proportion of college graduates in Virginia this year who majored in the social sciences is at least 0.15.(d) The average donation to the American Lung Association is no more than $10.(e) Residents in suburban Richmond commute, on the average, 15 kilometers to their place of employmentarrow_forwardFollow the steps in testing hypothesis to answer the problem:arrow_forward
- You are working for the South Tahoe Tourist Bureau and are interested in determining if there is a relationship between the casino people frequent and the type of gambling that they do at the casino Table Games Slots Sports Harrah’s 50 60 12 Hard Rock 18 22 6 MontBleu 33 29 20 Harvey’s 41 39 20 a. State the null and alternative hypotheses. b. State which hypothesis test should be used. Calculate the p-Value and state the command you entered in the calculator. c. State the conclusion in the context of the problem.arrow_forwardA dental assistant is interested in the proportion of patients that need a root canal. Let the proportion of patients that need a root canal be p. If the dental assistant wanted to know if the proportion of patients that need a root canal is more than 20%, what are the null and alternative hypotheses? Select the correct answer below: H0: p=0.20; Ha: p<0.20 H0: p>0.20; Ha: p=0.20 H0: p=0.20; Ha: p>0.20 H0: μ=0.20; Ha: μ>0.20arrow_forwardIf an original claim for some aspect of a population is u=3.00, the test statistics is t= +2.05 and the critical values are CV= -1.90, +1.90, would you reject or fail to reject the null hypothesis? (Pick one and justify your answer)arrow_forward
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- 1.Respond to the following questions in accordance with characteristics of hypothesis testing. a.If you want to see if the average gestational length among African American women is different from the national average of 39 weeks, how would you set up the null and two-sided alternative hypotheses? b.If you want to see if the average gestational length among African American women is less than the national average of 39 weeks, how would you set up the null and one-sided alternative hypotheses? c.In other words, what is a P-value? d.If α is 0.10 and you find a P-value of 0.08 in your hypothesis test, what would you conclude? e.How do you calculate the standard error of ?̅?arrow_forwardBrown wants to conduct an assessment of where employees live and how employees work. Brown wanted to know if where you lived was related to how you worked. What hypothesis tests can be used in this case?arrow_forwardGiven the following null and alternative hypotheses, complete parts a and b. H0: σ2=100 HA: σ2≠100 a. Test when n=25, s=9, and α=0.10. Be certain to state the decision rule. State the decision rule. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. (Round to four decimal places as needed.) A. If the test statistic, χ2>χ2α=_____, reject H0. B. If the test statistic, χ2<χ21−α=_____, reject H0. C. If the test statistic, χ2>χ20.05= ______, reject H0. or if the test statistic, χ2<χ20.95=______, reject H0.arrow_forward
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