Chapter 9: Q T9.5 (page 616)
A random sample of 100 likely voters in a small city produced 59 voters in favor of Candidate A. The observed value of the standardized test statistic for performing a test of
is which of the following?
a)
b)
c)
d)
e)
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Chapter 9: Q T9.5 (page 616)
A random sample of 100 likely voters in a small city produced 59 voters in favor of Candidate A. The observed value of the standardized test statistic for performing a test of
is which of the following?
a)
b)
c)
d)
e)
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Members of the city council want to know if a majority of city residents supports a increase in the sales tax to fund road repairs. To investigate, they survey a random sample of city residents and use the results to test the following hypotheses:
where is the proportion of all city residents who support a 1% increase in the sales tax to fund road repairs.
A Type I error in the context of this study occurs if the city council
a. finds convincing evidence that a majority of residents supports the tax increase, when in reality there isn’t convincing evidence that a majority supports the increase.
b. finds convincing evidence that a majority of residents supports the tax increase, when in reality at most of city residents support the increase.
c. finds convincing evidence that a majority of residents supports the tax increase, when in reality more than of city residents do support the increase.
d. does not find convincing evidence that a majority of residents supports the tax increase, when in reality more than of city residents do support the increase.
Which of choices (a) through (d) is not a condition for performing a significance test about a population proportion p?
a. The data should come from a random sample from the population of interest.
b. Both and should be at least
c. If you are sampling without replacement from a finite population, then you should sample less than of the population.
d. The population distribution should be approximately Normal unless the sample size is large.
e. All of the above are conditions for performing a significance test about a population proportion.
Walking to school Refer to Exercise 36.
a. Explain why the sample result gives some evidence for the alternative hypothesis.
b. Calculate the standardized test statistic and -value.
c. What conclusion would you make?
According to the Bureau of Labor Statistics, the average age of American workers is years. The manager of a large technology company believes that the company’s employees tend to be younger, on average. So she takes a random sample of 12 employees and records their ages.
Here are the data:
27 38 32 24 30 47 42 38 27 43 37 33
a. State appropriate hypotheses for testing the manager’s belief. Be sure to define the parameter of interest.
b. State the conditions for performing a test of the hypotheses in (a), and determine whether each condition is met.
c. The P-value of the test is. Interpret this value. What conclusion would you make?
Explaining confidence: Here is an explanation from a newspaper concerning one of its opinion polls. Explain what is wrong with the following statement.
For a poll of adults, the variation due to sampling error is no more than
percentage points either way. The error margin is said to be valid at the
confidence level. This means that, if the same questions were repeated in polls, the results of at least surveys would be within percentage points of the results of this survey.
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