A conservation group claims that 35% of households in a district take part in a food-waste collection scheme. A councillor believes that the claim may be incorrect. A random sample of 60 households is taken, and X X\,X denotes the number that take part.
State the null and alternative hypotheses.
Find the critical region for a two-tailed test at the 5% level of significance, using a probability of less than 0.025 in each tail.
Find the actual significance level of the test.
In the sample, 30 households take part. Complete the hypothesis test.