Answer the following True or False: If a researcher wants to test the claim that more than 25% of all students purchased their textbook online, then the null and alternative hypotheses are H0: μ=0.25μ=0.25 and Ha: μ>0.25.μ>0.25
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Answer the following True or False:
If a researcher wants to test the claim that more than 25% of all students purchased their textbook online, then the null and alternative hypotheses are H0: μ=0.25μ=0.25 and Ha: μ>0.25.μ>0.25.
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- An automobile manufacturer claims that the average gas mileage of a new model is 35 miles per gallon (mpg). A consumer group is skeptical of this claim and thinks the manufacturer may be overstating the average gas mileage. If µ represents the true average gas mileage for this new model, which of the following gives the null and alternative hypotheses that the consumer group should test?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…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 =0
- For each of the following scenarios, state the null and alternative hypotheses. Scenario A: You read in a report that preschool-aged children have on average 5.2 books at home. You are concerned that children in your community have fewer books.An economist has collected data on the number of house foreclosures. The published share of housing units with a foreclosure filing is 0.47%. The economist believes, based on the data she collected, that the share of housing units with a foreclosure filing is different from 0.47%. What are the null and alternative hypotheses? Select the correct answer below: H0: μ≠0.47%; Ha: μ=0.47% H0: μ=0.47%; Ha: μ≥0.47% H0: μ=0.47%; Ha: μ≤0.47% H0: μ=0.47%; Ha: μ≠0.47%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%
- 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 = 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…Our goal is to see whether the global temperatures have been getting higher. For the following statement, how should the hypothesis be phrased? What are some important characteristics of appropriate an hypothesis? State a null and alternative hypothesis for the problem at hand.The average manufacturing work week in metropolitan Chattanooga was 40.1 hours last year. It is believed that the recession has led to a reduction in the average work week. To test the validity of this belief, the hypotheses are a. H0: μ = 40.1 Ha: μ ≠ 40.1. b. H0: μ ≥ 40.1 Ha: μ < 40.1. c. H0: μ < 40.1 Ha: μ ≥ 40.1. d. H0: μ > 40.1 Ha: μ ≤ 40.1.
- The average life expectancy of tires produced by the Whitney Tire Company has been 40,000 miles. Management believes that due to a new production process, the life expectancy of its tires has increased. In order to test the validity of this belief, the correct set of hypotheses is a. H 0: μ ≥ 40,000 H a: μ < 40,000 b. H 0: μ ≤ 40,000 H a: μ > 40,000 c. H 0: μ < 40,000 H a: μ ≥ 40,000 d. H 0: μ > 40,000 H a: μ ≤ 40,000If the proportion of the population in City A that is over 65 years old is p1 and the proportion of the population in City B that is over 65 years old is p2, what is the null hypothesis for a test to determine if the proportion of the population that is over 65 years old is greater in City A? Select the correct answer below: H0: p1−p2=0 H0: p1−p2>0 H0: p1−p2<0 H0: p1−p2≠0The manufacturer of Lakas Papaya cleansing soap claimed that their product was effective in making the facial skin blemish-free of at least 93% of users who tested it for a period of 1 week. In a sample of 350 people who had problems with their facial skin, the soap provided blemish-free skin for 295 people. Which of the following represents the alternative hypothesis for this problem? A. Ha: p = 0.93B. Ha: p < 0.93C. Ha: p > 0.93D. H_a: p ≠ 0.93