2: A genetic experiment involving peas yielded one sample of offspring consisting of 403green peas and 126 yellow peas.Use a 0.05 significance level to test the claim that under the same circumstances, 35% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Test statistic = 2.904746408,p-value = 0.0036756417

3: A 9-year-old girl did a science fair experiment in which she tested professional touch therapists to see if they could sense her energy field.She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under her hand without seeing it and without touching it.Among 288 trials, the touch therapists were correct 127 times.Use a 0.01 significance level to test the claim that touch therapists use a method equivalent to random guesses. Test statistic =2.003469213, p-value = 0.0451268092

4: Consider a sample of 50 football games, where 27 of them were won by the home team. Use a 0.10 significance level to test the claim that the probability that the home team wins is greater than one-half. Test statistic = 0.5656854249,p-value = 0.2858037831

5: Suppose that in a random selection of 100 colored candies, 21%of them are blue.The candy company claims that the percentage of blue candies is equal to 30%.Use a 0.05significance level to test that claim. Test statistic =1.963961012, p-value = 0.0247672367

6:In a certain survey, 520 people chose to respond to this question: Should passwords be replaced with bio-metric security (fingerprints, etc.)?Among the respondents, 52% said yes.Wewanttotesttheclaimthatmorethanhalfofthepopulationbelievesthat passwords should be replaced with bio-metric security. Test statistic = 0.9121403401,p-value = 0.18088473933