Use the one – proportion z – test to perform the required hypothesis test. Use the critical – value

Use the one–proportion z–test to perform the required hypothesis test. Use the critical–value approach.

108) A manufacturer considers his production process to be out of control when defects exceed 3%. In a random sample of 85 items, the defect rate is 5.9% but the manager claims that this is only a sample fluctuation and that production is not really out of control. At the 0.01 level of significance, do the data provide sufficient evidence that the percentage of defects exceeds 3%?

109) An airline's public relations department says that the airline rarely loses passengers'  luggage. It further claims that on those occasions when luggage is lost, 88% is recovered and delivered to its owner within 24 hours. A consumer group who surveyed a large number of air travelers found that only 133 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day. At the 5% level of significance, do the data provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88?

110) A poll of 1,068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.05 level of significance, do the data provide sufficient evidence that the percentage of all voters who prefer the Democrat is less than 50%?
111) In 2000, the percentage of adults in a certain town who drove an SUV was 53%. In 2005, in a random sample of 100 people from this town, 45% said that they drive an SUV. At the 10% level of significance, do the data provide sufficient evidence to conclude that the percentage of adults in this town who drive an SUV has changed from the 2000 percentage of 53%?
112) An article in a journal reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in the town of Littleton. A random sample of 239 fathers from Littleton yielded 96 who did not help with child care. Do the data provide sufficient evidence to conclude that in Littleton the proportion of fathers who take no responsibility for child care.is higher than 0.34? Use a 0.05 significance level.

 

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