Test the null hypothesisH0 : p = 0.8 against the alternative hypothesisHA : p > 0.8, when 807 individuals in a random sample of 1,002 have a characteristic of interest.

Proportions are very sensitive to round-off error.Please ensure that you attempt to roundp^ as little as possible.

a)Calculate the value of theztest statistic, for testing the null hypothesis that the population proportion is 0.8.

b)Estimate the corresponding p-value for the above test statistic.

c)What conclusion can be made, at the 10% level of significance?

1) There is sufficient evidence to reject the null hypothesis, in favour of the alternative that the population proportion isgreater than 0.8.

2) There is insufficient evidence to reject the null hypothesis, and therefore no significant evidence that the population proportion is not 0.8.