It was recently estimated that homes without children outnumber homes with children by about 8 to 7. If there are 3870 homes in
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Answer:
The value of the test statistic is 4.26.
Step-by-step explanation:
In this case a hypothesis test is performed to determine whether most adults would erase all of their personal information online if they could.
A random sample of <em>n</em> = 453 adults were selected and it was found that 60% of them would erase all of their personal information online if they could.
Assume that the population proportion is, <em>p</em> = 0.50.
A <em>z</em>-test for single proportion would to used to perform the test.
Compute the value of the test statistic as follows:
Thus, the value of the test statistic is 4.26.
Answer:
The corresponding point estimate is 0.882.
The sample standard deviation is 1.373.
Step-by-step explanation:
The data set is:
S = {25.01, 25.87, 26.34, 26.51, 26.75, 27.24, 27.40, 27.63, 27.83, 27.90, 28.08, 28.13, 28.37, 28.58, 28.59, 28.96, 29.20, 29.22, 29.38, 30.88}
Compute the mean as follows:
Subtract the mean from each value and take the modulus of those values.
The new data set is:
S₁ = {2.8835, 2.0235, 1.5535, 1.3835, 1.1435, 0.6535, 0.4935, 0.2635, 0.0635, 0.0065, 0.1865, 0.2365, 0.4765, 0.6865, 0.6965, 1.0665, 1.3065, 1.3265, 1.4865, 2.9865}
Arrange these values in ascending order as follows:
S₂ = {0.0065 , 0.0635 , 0.1865 , 0.2365 , 0.2635 , 0.4765 , 0.4935 , 0.6535 , 0.6865 , 0.6965 , 1.0665 , 1.1435 , 1.3065 , 1.3265 , 1.3835 , 1.4865 , 1.5535 , 2.0235 , 2.8835 , 2.9865}
There are 20 observations in the data set.
The median value for an even set of values is the mean of the middle two values.
In this case the median will be the mean of the 10th and 11th observations.
Thus, the corresponding point estimate is 0.882.
Compute the standard deviation as follows:
In set S₁ we computed the absolute mean deviations.
Now take the square of these values and divide by (n - 1) to compute the sample variance:
Compute the sample standard deviation as follows:
Thus, the sample standard deviation is 1.373.