5 An experiment with hybrid corn resulted in yellow kernels and purple kernels. Of a random sample of 90 kernels, 18 were yellow and 72 were purple.
- Calculate an approximate \(90 \%\) confidence interval for the proportion of yellow kernels produced in all such experiments.
- Deduce an approximate \(90 \%\) confidence interval for the proportion of purple kernels produced in all such experiments.
- Explain what is meant by a \(90 \%\) confidence interval for a population proportion.
- Mendel's theory of inheritance predicts that \(25 \%\) of all such kernels will be yellow. State, giving a reason, whether or not your calculations support the theory.