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Let's assume that the gender data for the class were collected from seventy randomly selected students taking Elements of Statistics at FHSUeven though we know
Let's assume that the gender data for the class were collected from seventy randomly selected students taking Elements of Statistics at FHSUeven though we know the data was not truly randomly collected but instead comes from a convenience sample of this semester's various virtual sections of the course. | |||||||||
a. | First, determine from this sample data the proportion (percentage) of students who are male. | ||||||||
0.428571429 | |||||||||
b. | Explain why it would be wrong to use the proportion calculated above (even if the data came from a random sample) as the proportion value for ALL FHSU Element of Statistics students who are female. | ||||||||
The sample is large enough but we can't asume that the population that the sample comes from follows normal distribution. We can't tell if the proportion is unbiased estimate of the population ofteh male. | |||||||||
c. | Next, based upon a 90% level of confidence, determine the margin of error in estimating the true population proportion of ALL FHSU Element of Statistics students who are male from this sample data. Give this margin of error value below. | ||||||||
d. | Next use your margin of error value to produce the 90% confidence interval for the population proportion as predicted from the sample results. State this interval below within an interpretive sentence tied to the given context. | ||||||||
Female |
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Male |
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