For Exercises 5–8: (a) State the null hypothesis and the alternate hypothesis. (b) State the decision rule. (c) Compute the value of the test statistic. (d) What is your decision regarding H0? (e) What is the p-value? Interpret it.
5. The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. Assume the mileage wear follows the
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- Back in April and May of 1985, the Gallup organization conducted a poll to estimate the percentage of Americans who approved of how President Reagan was handling his job. At the 5% significance level, do the data suggest that the percentage of those who approved of Reagan increased from April to May in 1985? Population 1: April p = 795/1528 = 0.5203 Population 2: May p = 840/1528 = 0.5497 Show all your steps, setting up your null and alternative hypothesis.arrow_forwardA hypothesis test is to be performed. Determine the null and alternate hypotheses. In 1994 , the average duration of long-distance telephone calls originating in one town was 7.6 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1994 mean of 7.6 minutes. H0 : =μ7.6 minutes H1 : <μ7.6 minutes H0 : =μ7.6 minutes H1 : ≠μ7.6 minutes H0 : =μ7.6 minutes H1 : >μ7.6 minutes H0 : ≠μ7.6 minutes H1 : =μ7.6 minutesarrow_forwardPast studies have indicated that the percentage of smokers is estimated to be about 35%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced.a) If you going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses?H0: _______ H1: _______ b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailedarrow_forward
- Back in April and May of 1985, the Gallup organization conducted a poll to estimate the percentage of Americans who approved of how President Reagan was handling his job. At the 5% significance level, do the data suggest that the percentage of those who approved of Reagan increased from April to May in 1985? Population 1: April p = 795/1528 = 0.5203Population 2: May p = 840/1528 = 0.5497Show all your steps, setting up your null and alternative hypothesis.arrow_forwardA fast-food restaurant claims that a small order of french fries contains 120 calories. A nutritionist is concerned that the true average calorie count is higher than that. The nutritionist randomly selects 35 small orders of french fries and determines their calories. The resulting sample mean is 155.6 calories, and the pp-value for the hypothesis test is 0.00093. Which of the following is a correct interpretation of the p-value? A)If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or more. B) If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or less. C)If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or more, or a sample mean of 84.4 calories or less. .D)If the population mean is 155.6 calories, the p -value of 0.00093…arrow_forwardAlso, using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2009 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2009 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?arrow_forward
- Dreamfilms Studios boasts that its summer features are so good that at least half of all tickets sold one summer are for its films. A competing studio claims that less than half of all tickets sold are for Dreamfilms' movies. After the hypothesis test is completed, the conclusion is to fail to reject the null hypothesis. If the true percentage of tickets sold for Dreamfilms Studios' movies that summer was only 48%, was an error committed? If so, what type?arrow_forwardGiven the situation below, create a problem and determine (a) the null and alternative hypotheses, (b) test statistic, (c) rejection region, and (d) applicability of the CLT.arrow_forwardIllustrate the null hypothesis for a correlated t test?arrow_forward
- Use the data below to test the claim that the weight loss was greater with the low fat diet compared to the low carbohydrate diet. Use a 5% level of significance. Low Fat Low Carbohydrate x¯1=4.7lbs1=7.2lbn1=77 x¯1=3.5lbs1=6.9lbn1=52 Identify the tail of the test. What is the P-value? Will the null hypothesis be rejected? Is the initial claim supported?arrow_forwardIn conducting a significance test, is it easier or harder to reject the null hypothesis when the z(obtained) score is 4.57 compared to a score of 1.59? A. Harder B. Easierarrow_forwardWhich provides stronger evidence against the null hypothesis, a P-value of 0.06 or a P-value of 0.04? Explain your answer.arrow_forward
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