Student researchers were interested in whether people will be more likely to choose the name-brand cookie (Chips Ahoy) over the store-brand (Chipsters) in a blind taste test. They tested this with 20 subjects and found that 14 (70%) chose Chips Ahoy as their favorite. They conducted a test of significance using simulation and got the null distribution shown. (Note that this null distribution uses only 100 simulated samples and not the usual 1000 or 10,000.) Let π represent the long-run proportion of students that will pick Chips Ahoy as their favorite

a. Using the null distribution given, what is the p-value when testing H0: π = 0.50 versus an alternative of H_a: π > 0.50. 

b. Based on your p-value, do you have strong evidence that students prefer Chips Ahoy over Chipsters? (Fill in the following blanks to answer this.) __________ (yes/no) because the p-value is __________ (less or greater) than __________. 

c. How many standard deviations above the mean of the null distribution is the sample proportion? (i.e., What is the standardized statistic for this test?) 

d. Based on your standardized statistic, do you have strong evidence that students prefer Chips Ahoy over Chipsters? (Fill in the following blanks to answer this.) ______ (yes/no) because the standardized statistic is _______ (less or greater) than _______.

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Probability of heads: Number of tosses: Number of repetitions: Animate Draw Samples Total = 100 O Number of heads Proportion of heads Mean = 0.500 18 SD = 0.116 12 6 0 0.10 0.20 0.5 20 100 0.30 0.40 0.50 0.60 0.70 Proportion of heads 0.80 0.90