Question

In 2010, the United Nations claimed that there was a higher rate of illiteracy in men than in women from the country of Qatar. A humanitarian organization went to Qatar to conduct a random sample. The results revealed that 45 out of 234 men and 42 out of 251 women were classified as illiterate on the same measurement test. Do these results indicate that the United Nations' findings were correct?

1. Test an appropriate hypothesis and state your conclusion.

2. Find a 95% confidence interval for the difference in the proportions of illiteracy in men and women from Qatar. Interpret your interval.

Answer 1

( 1 )

Population 1 = men

Population 2 = women

Conclusion

It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that there was a higher rate of illiteracy in men than in women from the country of Qatar. at the 0.05 significance level.

( 2 )

95% confidence interval for the difference between the population proportions −0.043 < p1​−p2 < 0.093,