In a survey of 90 participants from the LGBT community from across Riverside and San Bernandino counties in California, 74.4% of respondents indicated that they had seriously considered committing suicide. 6.1% of the general population have seriously considered committing suicide. Test at 10% significance if the proportion of members of the LGBT community, who seriously considered committing suicide, is higher than for the general population.

a) State the null and alternative hypothesis.
b) Find the value of the test statistic.
c) Calculate the p-value.
d) Should Ho be rejected at α = 0.10?
e) Write the statistical conclusion.
f) Check the necessary conditions to see if the normal approximation used is adequate.