A certain genetic theory says that the biological child of one right-handed and one left-handed parent will be left-handed 20% of the time. To test this theory, researchers randomly select 112 children who had one right-handed and one left-handed biological parent and find that 27 of them were left-handed. Is this strong evidence that the theory is wrong? Carry out the appropriate hypothesis test. Be sure to state which test you are running, write down the null and alternative hypotheses, consider your assumptions and conditions, find the test statistics and the P-value, state the significance level you are using, and state your conclusions. Construct and interpret an appropriate confidence interval as well.