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- The manufacturer of a spot remover claims that hisproduct removes 90 percent of all spots. If, in a random sample, only 174 of 200 spots were removed with the man-ufacturer’s product, test the null hypothesis θ = 0.90 against the alternative hypothesis θ < 0.90 at the 0.05level of significance.A researcher used a sample of n = 20 individuals to determine whether there are any preferences among four brands of pizza. Each individual tastes all four brands and selects their favorite brand. If the data are evaluated with a chi-square test for goodness of fit using α = .05, then how large does the chi-square statistic need to be to reject the null hypothesis?A random sample of 10 secretaries was asked to type a certain memorandum using both computers and typewriters, and the time required to finish the task was recorded for each secretary. A test of hypothesis will be conducted to determine if there is enough evidence to conclude that the average time required to type a certain memorandum is faster if female secretaries are using computers rather than typewriters using a 5% level of significance. What is the appropriate null hypothesis? a)The average time required to type a certain memorandum is less than or equal to if female secretaries are using computers rather than typewriters. b)The average time required to type a certain memorandum is lesser if female secretaries are using computers rather than typewriters. c)The average time required to type a certain memorandum is greater if female secretaries are using computers rather than typewriters. d)The average time required to type a certain memorandum is different if…
- A researcher is conducting a chi-square test for independence to evaluate the relationship between gender and preference among three different designs for a new automobile. Each individual in a sample of n = 25 males and n = 25 females selects a favorite design from the three choices. If the researcher obtains a chi-square statistic of χ2 = 6.21, what is the appropriate statistical decision for the test? Select one: a. Reject the null hypothesis with α = .05 but not with α = .01. b. Reject the null hypothesis with either α = .05 or α = .01. c. Fail to reject the null hypothesis with either α = .05 or α = .01. d. Fail to reject the null hypothesis with α = .10.A doctor claims that less than 30 percent of all per-sons exposed to a certain amount of radiation will feel any ill effects. If, in a random sample, only 1 of 19 per-sons exposed to such radiation felt any ill effects, test the null hypothesis θ = 0.30 against the alternative hypothe-sis θ < 0.30 at the 0.05 level of significance.A manufacturer of potato chips would like to know whether it's bag filling machine works correctly at the 405 gram settting. Is there sufficient evidence at the 0.05 level that the bags are underfilled? Assume the population is normally distributed. State the null and alternative hypothesis.
- It has been claimed that more than 40 percent of allshoppers can identify a highly advertised trademark. If, in a random sample, 10 of 18 shoppers were able to iden-tify the trademark, test at the 0.05 level of significance whether the null hypothesis θ = 0.40 can be rejectedagainst the alternative hypothesis θ > 0.40.A medical researcher claims that 5% of children have asthma.In a random sample of 100 children 7.2% say they have asthma. At α=.05, evaluate the claim by: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim.A reasearcher selects a sample of 100 people to investigate the relationship between gender (male/female) and regestering to vote. The sampple consists of 40 female , of whom 30 are regestered voters, and 60 males of whom 40 are regestered voters. If these data were used for chi-square test for independence, what is the observed frequency for registered males?
- A survey of working adults indicates that only 50% of them are satisfied with their jobs. A president of a big company believes that that more than 50% of employers at his company are satisfied with their jobs. To test his belief, he surveys a random sample of 100 employers, and 54 of them report that they are satisfied with their jobs. Can he conclude that more than 50% of employers at his company are satisfied with their jobs? Use 0.05 for level of significance.A recent study at a local college claimed that the proportion, p, of students who commute more than 15 miles to school is no more than 20%. If a random sample of 275 studentsat this college is selected, and it is found that 71 commute more than 15 miles to school, can we reject the colleges claim at the 0.1 level of significance? Perform a one tailed test, and complete the parts below.A manufacturer finds that in a random sample of 100 of its CD players, 96% have no defects. The manufacturer wishes to make a claim about the percentage of nondefective CD players and is prepared to exaggerate. What is the highest rate of nondefective CD players that the manufacturer could claim under the following condition? His claim would not be rejected at the 0.05 significance level if this sample data were used. Assume that a left-tailed hypothesis test would be performed.