Question

In: Statistics and Probability

A genetic experiment with peas resulted in one sample of offspring that consisted of 409 green...

A genetic experiment with peas resulted in one sample of offspring that consisted of 409 green peas and 159 yellow peas.a. Construct a 90% confidence interval to estimate of the percentage of yellow peas.b. It was expected that? 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not? 25%, do the results contradict? expectations?

Solutions

Expert Solution

Given,

Number of green peas = 409

Number of yellow peas = 159

Total peas n = 409 + 159 = 568

Sample proportion of yellow peas = = 159 / 568 = 0.27993

Confidence interval for population proportion is given by,

Where, is z critical value at given confidence level

Confidence level = 90% = 0.9

Significance level = = 1 - 0.9 = 0.1

= = 1.645 ,              { Using Excel, = normsinv( 0.025 ) = 1.645 }

So, 90% confidence interval for proportion of yellow peas is,

CI = ( 0.24894 , 0.31092 )

90% confidence interval for proportion of yellow peas is ( 0.24894 , 0.31092 )

No, the confidence interval includes? 0.25, so the true percentage could be equal? 25%


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