A blind taste test is conducted to determine which of two colas, Brand A or Bran

Question

A blind taste test is conducted to determine which of two colas, Brand A or Brand B, individuals prefer Individuals are randomly asked to drink one of the two types of cola first, followed by the other cola, and then asked to disclose the drink they prefer. Results of the taste test indicate that 56 of 100 individuals prefer Brand A Complete parts a through c (a) conduct a hypothesis test (preferably using technology) H_0: p = p_0 versus H_1: p notequalto p_0 for p_0 = 0.45, 0.46, 0.47, ..., 0.65, 0.66, 0.67 at the alpha = 0.05 level of significance. For which values of p_0 do you not reject the null hypothesis? What do each of the values of p_0 represent? Do not reject the null hypothesis for the values of p_0 between and inclusively (type integer or decimals as needed.)

Explanation / Answer

X = 56 , n = 100

p^ = X/n = 56/100 = 0.56

95 % confidence interval

t0.025 = 1.984

sd = sqrt(0.56*0.44/100) = 0.0496386946

hence interval is

(0.56 -1.984*0.0496386946, 0.56+1.984*0.0496386946)

(0.461516,0.65848317)

hence do not reject the null hypothesis between (0.461516,0.65848317)

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