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- A researcher who wants to know whether the proportion of male births in a hospital is different from the established baseline of 51.07%, would like to test the following hypotheses: Ho:P = 0.51 vs. Ha :P = does not equal 0.51 a) Is the alternative hypothesis upper tail, lower tail, or two tailed? b) What do you conclude if the test results p-value of 0.03 at alpha value = 5% c) What do you conclude if the test results p-value of 0.08 at alpha value = 10%A researcher is testing a two-tailed null hypothesis at the p < .01 level with df = 48. What critical value would she or he use? Justify your answer.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?
- For which of these statistical hypotheses would you conduct a two-tailed test? A) There is more flooding that occurs in New Orleans than Miami. B) Astronauts will score lower on a math exam than engineers. C)The number of students using the library in the Summer is not the same as the number of students using it in the Fall. D)The amount of beef produced by Argentina will be greater than the amount produced by Brazil.The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. An article reports the following summary data on intake for a sample of males age 65−74 years: n = 116, x = 12.5, and s = 6.35. Does this data indicate that average daily zinc intake in the population of all males age 65−74 falls below the recommended allowance? (Use ? = 0.05.)State the appropriate null and alternative hypotheses. H0: ? = 15Ha: ? ≠ 15H0: ? = 15Ha: ? > 15 H0: ? = 15Ha: ? ≤ 15H0: ? = 15Ha: ? < 15 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day.Reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day. Do not reject…Using the information provided in the SPSS output. You are asked to make a decision about whether to reject the null hypothesis that the population value of gamma equals 0 (i.e., that there is no ordinary association in the population between frequency of prayer and health). If alpha = 0.05 and you use a non-directional alternative hypothesis, which of the following is true?) A. Since the p-value is larger than alpha, you do not reject the null hypothesis B. Since the p-value is less than alpha, you do not reject the null hypothesis C. Since the p-value is larger than alpha, you reject the null hypothesis. D. Since the p-value is less than alpha, you reject the null hypothesis
- For the following pairs, indicate which do not comply with the rules for setting up hypotheses, and explain why. (Select all that apply.) (a) H0: ? = 16, Ha: ? = 16 This pair complies.This pair does not comply because ? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers. (b) H0: p = 0.5, Ha: p > 0.8 This pair complies.This pair does not comply because p is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers. (c) H0: ? = 121, Ha: ? < 121 This pair complies.This pair does not comply because ? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers. (d) H0: ? = 125, Ha: ? = 128 This pair…Which pair of the hypotheses would be correct for the following claim: Claim: The percentage of cars sold with manual transmission is 2018 (group 1) is lower than the percentage of cars sold with manual transmission in 2010 (group 2) A. H0 :p1 −p2 =0andH1 :p1 −p2 <0 B. H0 :p1 −p2 <0andH1 :p1 −p2 =0 C. H0 :p1 −p2 =0andH1 :p1 −p2 ̸=0 D. H0 :p1 −p2 ̸=0andH1 :p1 −p2 =0 E. H0 :p1 −p2 =0andH1 :p1 −p2 >0 F. H0 :p1 −p2 >0andH1 :p1 −p2 =0The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. An article reports the following summary data on intake for a sample of males age 65−74 years: n = 111, x = 12.4, and s = 6.69. Does this data indicate that average daily zinc intake in the population of all males age 65−74 falls below the recommended allowance? (Use ? = 0.05.)State the appropriate null and alternative hypotheses. H0: ? = 15Ha: ? > 15H0: ? = 15Ha: ? < 15 H0: ? = 15Ha: ? ≤ 15H0: ? = 15Ha: ? ≠ 15 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day.Reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day. Do not reject the null…
- When consumers apply for credit cards, their credit is rated using FICO scores. A random sample of credit ratings is obtained, and the FICO scores are summarized with these statistics: n=35, ?̅=660.3, s=95.9. Use ?=0.05 and conduct a two-tailed hypothesis test to test the claim that the mean credit score (of the general population) is equal to 700. a) Write the two hypotheses for the problem. b) Which conditions have to be satisfied in order to conduct the test for the population mean? c) Find the t test statistic and associated p-value. d) Make a sketch of the distribution indicating the t test statistic and the p-value. e) In the context of the problem, write a conclusion to the study.The test statistics of z=1.10 is obtained when testing the claim that pdoes not equal 0.481. A.identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. B.Find the p-value. C.using a significance level of o=0.01, should we reject H0 or should we fail to reject H0?The test statistic of z=1.54 is obtained when testing the claim that p=0.723. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a=0.10, should we reject H0 or should we fail to reject H0?