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The Australian Bureau of Statistics has reported that in 2015, 26.78% of the 16.8 million employees...

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Statistics

The Australian Bureau of Statistics has reported that in 2015,26.78% of the 16.8 million employees in Australia worked part-timein their main job. Suppose that you select a random sample of 250employees from around Australia.

(a) What is the probability that more than 26.2% of thosesampled work part-time in their main job?

(b) What is the probability that the proportion of part-timeemployees in the sample is between 27% and 29%?

(c) The probability is 77% that the sample proportion ofpart-time workers will be above what value?

Answer & Explanation Solved by verified expert
3.6 Ratings (287 Votes)
1Population Proportion 02678SampleSize 250We needto computethepopulation men of sample proportions and the corresponding standarderror areObservethatwhichindicates that the assumption for normal approximation for thesampling distribution is metNow    See Answer
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