In a UK survey of a random sample of 281 working women who had children, 175 reported that they felt that having children had held back their career prospects. In a similar study of 138 women in Denmark, 65 reported that having children had held back their career.
(a) Produce a 95% confidence interval for the proportion of women in the UK who consider that having children held back their career prospects.
(b) Produce a 95% confidence interval for the proportion of women in Denmark who consider that having children held back their career prospects.
(c) How do the two confidence intervals compare?