Question

A researcher believes that the proportion of women who like chocolate is less than the proportion of men

who like chocolate. To find out she asks 120 women if they like chocolate, and 102 say they do. Then she asks

150 men if they like chocolate, and only 132 of them do. The p-value of the test is approximately:

Answer 1

Population 1 : Women : n1 = 120 , x1 = 102

Population 2 : Men : n2 = 150 , x2 = 132

Using the P-value approach: The p-value is p = 0.2356, and since p = 0.2356 ≥ 0.05, it is concluded that the null hypothesis is not rejected.

• P value = 0.2356

Note :

If we round z score to two decimals i.e., Z = -0.72 ( LEFT TAILED )

we get p value = 0.2358

So round z score according to your answer