The test statistic is a numerical value, computed from the data, that the researcher uses to decide between the null and alternative hypotheses. true false
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The test statistic is a numerical value, computed from the data, that the researcher uses to decide between the null and alternative hypotheses.
true
false
The Null hypothesis, denoted by H0 represents the hypothesis that will be accepted only if the data provide convincing evidence of its truth.
true
false
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- What term is used to express the likelihood of an event occurring? Are there restrictions on its values? If so, what are they? If not, explain.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?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?
- 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%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.An Internet provider is trying to gain advertising deals and claims that the mean time the competitors' customers spend online per day is less than 33 minutes. You are asked to test this claim. (a) How would you write the null and alternative hypotheses if you represent the Internet provider and want to support the claim? (b) How would you write the null and alternative hypotheses if you represent a competing advertiser and want to reject the claim? (a) H0: ▼ pp muμ sigmaσ sigma squaredσ2 ▼ less than< greater than> less than or equals≤ greater than or equals≥ not equals≠ 33 Ha: ▼ sigma squaredσ2 muμ pp sigmaσ ▼ less than or equals≤ not equals≠ greater than> greater than or equals≥ less than< 33 (b) H0: ▼ muμ sigma squaredσ2 pp sigmaσ ▼ less than< greater than or equals≥ not equals≠ greater than> less than or equals≤ 33 Ha: ▼ muμ sigma squaredσ2…
- The Null hypothesis, denoted by H0,represents the hypothesis that will be accepted only if the data provide convincing evidence of its truth.truefalseA 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 expects a treatment to increase the scores for individuals in a population. The treatment is evaluated using a one-tailed hypothesis test, and the test produces z = +2.40. Based on this result, which is the correct statistical decision
- Ex 9. Suppose that a national survey finds that 73 percent of restaurant employees say that work stress has a negative impact on their personal lives. A random sample of 200 employees of a large restaurant chain finds that 141 employees say that work stress has a negative impact on their personal lives. a. Formulate the null and alternative hypotheses needed to attempt to provide evidence that the percentage of work-stressed employees for the restaurant chain differs from the national percentage. b. Use critical values to perform the hypothesis test by setting α equal to .10, .05, .01, and .001A sample of 10 male and 10 female students were surveyed and their weights were recorded. The results are summarized in the table. Test for the hypothesis that the weight of female students is less than the weight of male students, at a=0.05. Male Female 70 55 62 56 72 55 69 65 54 50 73 50 83 46 93 47 72 104 74 49 a. What are the null and alternative hypotheses?b. What is the critical value? (4 decimal points)c. What is the test statistic? (4 decimal points)d. Reject or accept null hypothesis?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. Significance level: a. p = 0.05 b. p = 0.0001 c. p < 0.0001 d. p > 0.0001
