1) A genetic experiment involving peas yielded one sample of offspring consisting of 438 green peas and 166 yellow peas. Use a 0.05 significance level to test the claim that under the same circumstances, 27% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.

What is the test statistic? (Round to two decimal places as needed.

2)Assume that the significance level is alpha=0.1. use the given information to find the P-value and the critical values (s). The test statistic of Z=1.80 is obtained when testing the claim that p.0.1.

P-value= (Round to four decimal places as needed

critical value of z (s)

3) Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. A simple random sample of 25 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a mean of 19.6 mg and a standard deviation of 3.44 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. What do the results suggest, if anything, about the effectiveness of the filters? identify the test statistic. t= Round to three decimal places as needed