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Tasting cookies

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 following null distribution. (Note that this null distribution uses only 100 simulated samples and not the usual 1000 or 10,000.) Letrepresent the long-run proportion of students that will pick Chips Ahoy as their favorite.

Using the null distribution above, what is thep-value when testingH₀:= 0.50versus an alternative ofH_a:> 0.50?

p-value = 3/100 = 0.03

p-value = 6/100 = 0.06

p-value = 61/100 = 0.61

p-value = 97/100 = 0.97

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Based on yourp-value, do you have strong evidence that students prefer Chips Ahoy over Chipsters?

YesNo because thep-value is lessgreater than 0.050.50.

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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?) Round answer to 2 decimal places, e.g. 2.23.

z=Type your answer here

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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.)

YesNo because the standardized statistic is lessgreater than 0.052.