A recent study at a university showed that the proportion of students who commute more than 15 miles to school is 25%. Suppose we have good reason to suspect that the proportion is greater than 25%, and we carry out a hypothesis test. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. Ho: 0 H: 0 O
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- A fast-food franchise is considering building a restaurant at a busy intersection. A financial advisor determines that the site is acceptable only if, on average, more than 300 automobiles pass the location per hour. If the advisor tests the hypotheses H0: μ ≤ 300 versus HA: μ > 300, μ stands for __________.f our null hypothesis is H0: ? = 40, what are the three possiblealternative hypotheses?In a one-tail hypothesis test where you reject H0 only in the upper tail, what is the p-value if ZSTAT = +2.00?
- A company specializes in producing bunkers located in places with extremely cold climates under 0°C. A prototype for a new bunker design using different structure design and materials was tested to have the following average interior temperatures: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5 °C using α = 0.05. a.What are the hypothesis statements?A television executive believes that at least 99% of households in the US have at least one television. An intern at the executive's company is given the task of using a hypothesis test to determine whether the percentage is actually less than 99%. The intern decides to fail to reject the null hypothesis. If, in realiry, 96.7% of house holds own a television set, was an error made? if so, what type.For the situation, formulate the appropriate null and alternative hypotheses H0 and Ha.
- If the critical t is ±1.796 and the obtained t is -2.09, what decision would you make regarding the null hypothesis?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 hypothesis test produces a t statistic of t = +2.19. If the researcher is conducting a two-tailed hypothesis test with α = .05, how large does the sample have to be in order to reject the null hypothesis?
- 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:The manufacturer of a certain engine treatment claims that if you add their product to your engine, it will be protected from excessive wear. An infomercial claims that a woman drove 3 hours without oil, thanks to the engine treatment. A magazine tested engines in which they added the treatment to the motor oil, ran the engines, drained the oil, and then determined the time until the engines seized. Complete parts (a) and (b) below. (a) Determine the null and alternative hypotheses that the magazine will test. H0: ▼ pp muμ sigmaσ ▼ equals= greater than> not equals≠ less than< 3 H1: ▼ pp muμ sigmaσ ▼ less than< equals= not equals≠ greater than>A researcher is using a two-tailed hypothesis test with α = 0.01 to evaluate the effect of a treatment. If theboundaries for the critical region are t = ± 2.845, then how many individuals are in the sample?A. n = 23B. n = 22C. n = 21D. n = 20E. cannot be determined from the information given