You're interested in determining whether people prefer orange or pink food. you make a large batch of vanilla pudding and dye one half orange and the other half pink. you randomly select students to participate in a taste test, and you randomize which pudding people try first. out of 132 subjects, 72 prefer the orange pudding. you use the hypotheses h subscript 0 : p equals.5, h subscript a : p not equal to.5. what's the p-value of the test statistic?

p value = 0.295792

Step-by-step explanation:

Given that you 're interested in determining whether people prefer orange or pink food. You make a large batch of vanilla pudding and dye one half orange and the other half pink. You randomly select students to participate in a taste test, and you randomize which pudding people try first. Out of 132 subjects, 72 prefer the orange pudding.

(two tailed test)

Sample proportion p =

Std error of p =

p diference = 0.0455

Test statistic Z = p difference/std error = 1.0455

p value = 0.295792

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11