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 ( H_{0}).

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

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