Question

Based on historical data, your team knows what proportion of the company's orders come from Males...

Based on historical data, your team knows what proportion of the company's orders come from Males (and Females). However, your team would like to expand its sales so that men are more proportionately represented. By the end of this year, you think you would like your total proportion of sales to males to be at least 0.46. If you took a simple random sample of 54 current orders, what is the probability that the sample proportion of male customers is greater than 0.46?

The proportion of males for this question is 0.3966.

The mean of total sales is - 109.73

Standard deviation - 111.5673

When I calculated a new standard deviation (0.0626), using statcrunch I got an answer of 0.1556 which is wrong. Can someone tell me where I went wrong?



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