Question

1. Genetics: When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas. If we use a 99% confidence level, find a population percentage of yellow peas.

Answer 1

Solution :

Given that,

n = 428 + 152 = 580

x = 152

Point estimate = sample proportion = = x / n = 152 / 580 = 0.262

1 - = 1 - 0.262 = 0.738

At 99% confidence level

= 1 - 99%

=1 - 0.99 =0.01

/2 = 0.005

Z/2 = Z0.005 = 2.576

Margin of error = E = Z / 2 * (( * (1 - )) / n)

= 2.576 (((0.262 * 0.738) / 580)

= 0.047

A 99% confidence interval for population proportion p is ,

- E < p < + E

0.262 - 0.047 < p < 0.262 + 0.047

( 0.215 < p < 0.309 )