st records from a local hospital stated that the proportion of full-term babies born in the nospital who weigh less than seven pounds IS 40%. Suppose that we ve strong reason to believe the proportion is greater than 40%, and we wish to carry out a hypothesis test. State the null hypothesis H and the alternative pothesis H, that we would use for this test. H;: 0 H;: 0 OO D=0
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- A toy manufacturer claims that the meantime that its top-selling toy captures children's attention is at least 20 minutes. Suppose that we doubt this claim and we carry out a hypothesis test to see if we can refute the claim. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test.A car manufacturer claims that its latest model can average 60 miles per gallon on the highway - and an auto magazine's editor wants to put that claim to the test. (a) Write the null hypothesis for this situation. (b) Write the alternate hypothesis, if the editor wants to prove that the actual miles per gallon is lower than what's being claimed. (c) Write the alternate hypothesis, if the editor wants to prove that the actual miles per gallon is simply different from what's being claimed.Past records from a local hospital stated that the proportion of full-term babies born in the hospital who weigh less than seven pounds is 43%. Suppose that we have strong reason to believe the proportion is greater than 43%, and we wish to carry out a hypothesis test. State the null hypothesis H0 and the alternative hypothesis H1 that we would use for this test. H0: H1:
- The average American consumes 9.8 liters of alcohol per year. Does the average college student consume less alcohol per year? State your null and alternative hypothesis H0:H0: Ha:Ha:f our null hypothesis is H0: ? = 40, what are the three possiblealternative hypotheses?A paint manufacturer advertises that one gallon of its paint will cover 400 square feet of an interior wall. Some local painters suspect the average coverage is considerably less and decide to conduct an experiment to find out. Which of the following are the correct null and alternative hypotheses to be tested? A construction company has a bid on two large construction projects. The president believes that the chances of winning the first contract is 55% and the chances of winning the second contract is 30% and that winning either contract is independent of winning the other. What are the chances the company will not win either contract? Spelling mistakes in a text are either “nonword errors” or “word errors.” A nonword error produces a string of letters that is not a word, such as “the” typed as “teh.” Word errors produce the wrong word, such as “loose” typed as “lose.” Nonword errors make up 25% of all errors. A human proofreader will catch 80% of nonword errors and 50% of…
- A researcher believes that more than half of college students average less than 6 hours of sleep per night during the week. Suppose she collected data to test her belief and found a p-value < 0.0001. Fill in the information for her hypothesis test below. Identify the null and alternative hypotheses: a. H0: μ = 6 H1: μf < 6 b. H0: μ = 0.5 H1: μ < 0.05 c. H0: p = 6 H1: p < 6 d. H0: p = 0.05 H1: pp < 0.05If your null and alternative hypothesis are:H0:μ=64H0:μ=64 H1:μ<64H1:μ<64Then the test is:A physician wants to test two blood glucose meters to see if there is any differences in measurements. To do this, he measures the glucose in blood samples taken from several randomly selected patients with both meters. Identify the null and alternative hypotheses for a hypothesis test, where each difference is calculated by subtracting the measurement on the second meter from the measurement on the first meter. A. H0:μd=0 Ha:μd>0 B. H0:μd=0 Ha:μd≠0 C. H0:μd=0 Ha:μd<0 D. H0:μd≠0 Ha:μd=0
- For each pair of hypotheses that follows, decide whether H₀ and H₁ are set up correctly as the null and alternative hypotheses for a hypothesis test. If so, select “Valid” from the drop down menu. If not, select “Invalid”. 1 H₀: M = 165 2 H₀: μ = 39 H₁: M ≠ 165 H₁: μ ≠ 39 3 H₀: μ = 344 4 H₀: µ = 79 H₁: μ ≠ 344 H₁: µ ≠ 86 You always evaluate the results of an experiment by assessing the .For each pair of hypotheses that follows, decide whether H₀ and H₁ are set up correctly as the null and alternative hypotheses for a hypothesis test. If so, select “Valid” from the drop down menu. If not, select “Invalid”. 1 H₀: μ ≠ 230 2 H₀: M = 50 H₁: μ = 230 H₁: M ≠ 50 3 H₀: μ = 150 4 H₀: µ = 135 H₁: μ ≠ 158 H₁: µ ≠ 135 You evaluate the by assuming that it is true and testing the reasonableness of this assumption by calculating the probability of getting the results if chance alone is operating.The label on a 4-quart container of orange juice states that the orange juice contains an average of 1 gram of fat or less. Answer the following questions for a hypothesis test that could be used to test the claim on the label. (a) Develop the appropriate null and alternative hypotheses. H0: ? > 1 Ha: ? ≤ 1 H0: ? < 1 Ha: ? ≥ 1 H0: ? ≤ 1 Ha: ? > 1 H0: ? = 1 Ha: ? ≠ 1 H0: ? ≥ 1 Ha: ? < 1 (b) What is the type I error in this situation? What are the consequences of making this error? It is claiming ? < 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification. It is claiming ? ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification. It is claiming ? ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification. It is claiming ? > 1 when it is not. This error would claim that the…
