At a magic shop, the salesperson shows you a coin that he says will land on heads more than 78% of the times it is flipped. In an attempt to convince you he'scorrect, the salesperson asks you to try the coin yourself. You filip the coin 70 times. (Consider this a random sample of coin flips.) The coin lands on heads 58 ofthase times.Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level af significance, to support the salesperson's claimthat the proportion, P, of all times the coin lands on heads is more than 78%.(a) State the nul hypothesis H, and the alternative hypothesis A that you would use for the test.H: 0H:?(b) For your hypothesis test, you will use a Z-test. Find the values of P and n(1-p) to confirm that a Z-test can be used. (One standard is that p2 10and 4(1-p) 2 10 under the assumption that the null hypathesis is true.) Here A is the sample size and P is the population proportion you are testing.np = 0n (1-p) = 0?(C) Perform a Z-test and find the p-value.Here is some information to help you with your Z-test.. The value of the test statistic is given by(1-The p-value is the area under the curve to the right of the value of the test statistic.Standard Normal Distribution04Step 1: Selet one-taiked or two-lailed.O One-taikedO Two-laledStep 2: Enter the test statistic.(ound to 3 decimal places.)Step 3: Shade the area reprented bythe pvala.Step 4: Enter the p-value.(Round to 3 decimal places.)(d) Based on your answer to part (c), choose what can be concluded, at the 0.10 level of significance, about the claimmade by the salesperson.O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there isenough evidence to support the claim that the coin lands on heads more than 78% of the times it is flipped.O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is nat rejected. So, there isnot enough evidence to support the dclaim that the coin lands on heads more than 78% of the times it is fipped.O since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enoughevidence to support the claim that the coin lands on heads more than 78% af the times it is flipped.O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enoughevidence to support the claim that the coin lands on heads more than 78% of the times it is flipped.

For the given data Perform Z test for one proportion

ta magic shop, the salesperson shows you a coin that he says will land on heads more than 75 7a of the times it is flipped. In an attempt to convince you he's arrect, the salesperson asks you to try the coin yourself. You flip the coin 70 times. (Consider this a random sample of coin flips.) The coin lands on heads 58 af hose times. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level af significance, to support the salesperson's claim hat the proportion, P, of all times the coin lands on heads is more than 78%. (a) State the nuil hypothesis H and the alternative hypothesis H, that you would use for the test. H 0 D0 D-0 DO ? (b) For your hypothesis test, you will use a Z-test. Find the values of P and (1-p) to confirm that a Z-test can be used. (One standard is that p2 10 and 4 (1-9)2 10 under the assumption that the null hypathesis is true.) Here 4is the sample size and Pis the population proportion you are testing. a(1-p) = 0 (C) Perform a Z-test and find the p-value. Here is some information to help you with your Z-test. • The value of the test statistic is given by 2(1-) • The p-value is the area under the curve to the right of the value of the test statistic. Standard Normal Distribution Stap 1: Seket one-taiked ar to-taled. O One taiked O Two-laled Sap 2: Enter the test statistic. (Round to 3 decmal pleces.) Stap 3: Shade the ara repreented by the pvala. Step 4: Enter the p-value. (Round to 3 decimal places.) (d) Based on your answer to part (c), choose what can be concluded, at the 0.10 level of significance, about the claim made by the salesperson. O since the p-value is less than (or equal to) the level of signitficance, the null hypothesis is rejected. Sa, there is enough evidence to support the claim that the coin lands on heads more than 78% of the times it is fipped. O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is nat rejected. So, there is not enough evidence to support the claim that the coin lands on heads more than 78% of the times it is fipped. O since the p-value is greater than the level of significance, the null hypothesis is rejected. Sa, there is enough evidence to support the claim that the coin lands on heads more than 78% of the times it is flipped. O since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the coin lands on heads more than 78%% of the times it is flipped.