Question

A government official claims that the proportion of residents of India who are undernourished is no more than
0.10. An economist in the country, however, believes that the proportion of the Indian population who are
undernourished is higher than 0.10. A random sample of 400 residents found that 70 were undernourished. Test
the economist’s hypothesis at the 0.05 level of significance. Provide the p-value in your conclusion.

Answer 1

Given that, n = 400 and x = 70

sample proportion = 70/400 = 0.175

The null and alternative hypotheses are,

Test statistic is,

p-value = P(Z > 5.00) = 0.0000

Since, p-value = 0.0000 < level of significance = 0.05

We reject the null hypothesis ( H₀).

Conclusion : there is sufficient evidence to conclude that tbe proportion of the Indian population who are undernourished is higher than 0.10.