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A researcher wishes to estimate the proportion of all adults who own a cell phone. he takes a random sample of 1,572 adults; 1,298 of them own a cell phone, hence 1298∕1572 ≈ .83 or about 83% own a cell phone. what is the population of interest? what is the parameter of interest? what is the statistic involved? based on this sample, do we know the proportion of all adults who own a cell phone? explain fully.

2 Answers

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Final answer:

The population of interest is all adults. The parameter of interest is the proportion of all adults who own a cell phone. The statistic involved is the sample proportion. Based on this sample, we can estimate the proportion of all adults who own a cell phone, but we do not know the true proportion with certainty.

Step-by-step explanation:

The population of interest in this study is all adults. This includes every adult in the target population from which the sample was selected. In this case, the target population is all adults, as the researcher wants to estimate the proportion of all adults who own a cell phone.

The parameter of interest in this study is the proportion of all adults who own a cell phone. The researcher wants to estimate this parameter using the sample data.

The statistic involved in this study is the sample proportion. The researcher collected data from a random sample of 1,572 adults and found that 1,298 of them own a cell phone. The sample proportion is calculated by dividing the number of adults who own a cell phone by the total sample size. In this case, the sample proportion is 1,298/1,572, which is approximately 0.83 or 83%.

Based on this sample, we can estimate the proportion of all adults who own a cell phone. However, we do not know the true proportion of all adults who own a cell phone with certainty. This is because we have only sampled a portion of the population, and there is a margin of error associated with our estimate. To make a more accurate estimation, we would need to collect data from a larger sample or use statistical techniques like confidence intervals.

User Mohd Shahid
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2 votes

solution:

a) The population of interest is all the adults

b) The parameter of interest is p, the proportion of adults who own a cell phone

c) The statistic is the proportion, p^, of the sample of 1572 adults who own a cell phone. The value of the sample proportion is 0.83.

d) We dont the the exact proportion with 100 % but we know that the proportion would lie in a certain range with certain degree of confidence


User Lahiru Dilshan
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