The results of a study showed that heterosexual women, during ovulation, were si

Question

The results of a study showed that heterosexual women, during ovulation, were significantly better at correctly identifying the marriage status of a man from a photograph of his face than women who were not ovulating. Near ovulation, on average women correctly identified the marriage status of about 69% of the 100 men shown to them. Assume that the sample distribution for this study is unimodal and symmetric and that the samples are collected randomly. If this is the probability of correctly identifying the marriage status of a man in any given photograph, what is the probability a woman would correctly classify 78 or more of the men? The probability is________ (round to 5 decimal places as needed) The results of a study showed that heterosexual women, during ovulation, were significantly better at correctly identifying the marriage status of a man from a photograph of his face than women who were not ovulating. Near ovulation, on average women correctly identified the marriage status of about 69% of the 100 men shown to them. Assume that the sample distribution for this study is unimodal and symmetric and that the samples are collected randomly. If this is the probability of correctly identifying the marriage status of a man in any given photograph, what is the probability a woman would correctly classify 78 or more of the men? The probability is________ (round to 5 decimal places as needed) The results of a study showed that heterosexual women, during ovulation, were significantly better at correctly identifying the marriage status of a man from a photograph of his face than women who were not ovulating. Near ovulation, on average women correctly identified the marriage status of about 69% of the 100 men shown to them. Assume that the sample distribution for this study is unimodal and symmetric and that the samples are collected randomly. If this is the probability of correctly identifying the marriage status of a man in any given photograph, what is the probability a woman would correctly classify 78 or more of the men? The probability is________ (round to 5 decimal places as needed)

Explanation / Answer

From the given information we have ,

The proportion of men in the population is p= 0.69

We Consider a sample of 100 employees so n=100

Compute the probabilty that the sample contains less than 78% or more women.

That is P(P^0.78)

P(P^0.78) =P( P^ - p/Sqrt( P(1-p)/n 0.78 - 0.69 / Sqrt(0.69(1-0.69) /100)

= P( Z 0.09 / 0.0462)

= 1 - P( Z 1.948)

= 1- 0.97429

= 0.02571

  Therefore , the required probability is 0.02571

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