According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is Suppose that a survey is conducted to determine this year’s rate. Nine out of randomly chosen N.Y. City residents reply that they smoke. Conduct a hypothesis test to determine if the rate is still or if it has decreased.
The hypothesis test has resulted in a p-value greater than the alpha value and the null hypothesis is not rejected and the rate is still at .
The adult smoking rate
State the hypothesis:
The null hypothesis states that of adults do smoke and the alternate hypothesis states that not more than of adults do smoke.
The normal distribution is:
The Z test statistic is:
Substitute the value in the Z statistic formula
The US Department of Energy reported that 51.7% of homes were heated by natural gas. A random sample of 221 homes in Kentucky found that 115 were heated by natural gas. Does the evidence support the claim for Kentucky at the α = 0.05 level in Kentucky? Are the results applicable across the country? Why?
La Leche League International reports that the mean age of weaning a child from breastfeeding is age four to five worldwide. In America, most nursing mothers wean their children much earlier. Suppose a random survey is conducted of U.S. mothers who recently weaned their children. The mean weaning age was nine monthsrole="math" localid="1649394170256" with a standard deviation of months. Conduct a hypothesis test to determine if the mean weaning age in the U.S. is less than four years old.
It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per night, on average. A survey of LTCC Intermediate Algebra students generated a mean of hours with a standard deviation of hours. At a level of significance of , do LTCC Intermediate Algebra students get less than
seven hours of sleep per night, on average?
The error is not to reject that the mean number of hours of sleep LTCC students get per night is at least seven when,
in fact, the mean number of hours
a. is more than seven hours.
b. is at most seven hours.
c. is at least seven hours.
d. is less than seven hours.
The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is at least inches. Ten cities in the northeast are randomly selected and the mean rainfall amount is calculated to be inches with a standard deviation of inches. At the level, can it be concluded that the mean rainfall was below the reported average? What if ? Assume the amount of summer rainfall follows a normal distribution.
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