Need help with d and e FVEnglish Air continually monitors the proportion of overweight items checked by passengers on its flights in order to evaluate the appropriateness of theiroverweight fees. Recently, a random sample of 278 items checked on English Air flights to North America contained 52 overweight items, and an independent,random sample of 297 items checked on English Air flights within Europe contained 31 overweight items.Based on these samples, can we conclude, at the 0.01 level of significance, that there is a difference between the proportion p₁ of all items on English Air flightsto North America that are overweight and the proportion p, of all items on English Air flights within Europe that are overweight?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list offormulas.)74°FCloudy(a) State the null hypothesis Ho and the alternative hypothesis H₁.Ho P₁ P2H₁: P₁P2(b) Determine the type of test statistic to use.Z(c) Find the value of the test statistic. (Round to three or more decimal places.)HD 144HzE2.819Explanation(d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.)CheckO Searche3|xOS0=0 OSOX☐☐ ☐<0РS02022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy CenterEspañolAa? 74°FCloudy|||O CONFIDENCE INTERVALS AND HYPOTHESIS TESTINGHypothesis test for the difference of population proportionstermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessarCarry yformulas.)(a) State the null hypothesis Ho and the alternative hypothesis H₁.0Ho: P₁P2H₁ : P₁P₂(b) Determine the type of test statistic to use.Z(c) Find the value of the test statistic. (Round to three or more decimal places.)2.819THERMOR(d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.)andExplanation(e) Can we conclude that the proportion of items that are overweight is different between the two typesof English Air flights?O Yes O NoCheckO Search LCμ|xX0=0OXS≤O☐#0 OO2022 McGraw Hill LLC. All Rights Reser

From the provided information, The hypotheses are as follow: H0: p1 = p2 Ha: p1 ≠ p2 Level of significance (α) = 0.01 The test statistic is 2.819.d) There will be two critical values. α/2 = 0.005 For positive critical value: =NORM.S.INV(0.99+0.005) The excel output is as follow: For negative critical value: =NORM.S.INV(0.005) The excel output is as follow: Thus, the critical values are 2.576 and -2.576. The critical region is z > 2.576, z < -2.576.e) Since, the test statistic lies in the critical region, therefore, the null hypothesis would reject. Yes, we can conclude that the proportion of items that are overweight is different between the two types of English Air flights.