Part c and d only please Is the proportion of wildfires caused by humans inthe south lower than the proportion of wildfirescaused by humans in the west? 358 of the 563randomly selected wildfires looked at in the southwere caused by humans while 358 of the 526randomly selected wildfires looked at the west werecaused by humans. What can be concluded at the a= 0.05 level of significance?a. For this study, we should usez-test for the difference between two population proportionsb. The null and alternative hypotheses would be:Ho: p1p2(please enter a decimal)H1: p1p2(Please enter a decimal)c. The test statistic z(please show your answer to 3 decimalplaces.)d. The p-value =(Please show youranswer to 4 decimal places.)

c. Denote p1, p2 as the true population proportions of wildfires caused by human in south and west, respectively.It is needed to test, whether the proportions of wildfires caused by human in south is less than that of west. Null hypothesis: H0: p1 = p2. Alternative hypothesis: H1: p1 < p2. It is given that, among 563 wildfires in south 358 are caused by human. That is, x1 = 358 and n1 = 563. It is also given that, among 526 wildfires in west 358 are caused by human. That is, x2 = 358 and n2 = 526. The sample proportions are: p̂1 ≈ 0.6359 (= 358/563). p̂2 ≈ 0.6806 (= 358/526). The pooled proportion is: p = (n1p̂1 + n2 p̂2 ) / (n1 + n2). [Here, n1 p̂1 = x1 and n2 p̂2 = x2.] = [358 + 358] / [563 + 526] ≈ 0.6575. The test statistic is: z = (p̂1 – p̂2 )/ √ [p (1 – p) (1/n1 + 1/n2)] = (0.6359 – 0.6806) / √ [(0.6575) (1 – 0.6575) (1/563 + 1/526)] = –0.0447/0.028776968 ≈ –1.553. Thus, the test statistic is –1.553. d. The level of significance is, α = 0.05 or 5%. Using the Excel formula =NORM.S.DIST(-1.553,TRUE) the p-value is 0.0602. The decision rule regarding a hypothesis testing problem using the p-value is: If p-value ≤ α, reject the null hypothesis H0. Otherwise fail to reject H0. Since p-value (= 0.0602) > α (= 0.05), fail to reject H0. There is not enough evidence to support the claim that the proportions of wildfires caused by human in south is less than that of west, at 5% level of significance.