At a magic shop, the salesperson shows you a coin that she says will land on heads more than 71% of the times it is flipped. In an attempt to convince you she's correct, the salesperson asks you to try the coin yourself. You flip the coin 70 times. (Consider this a random samp|_e of coin flips.) The coin lands on heads 58 of those times. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the salesperson's claim that the proportion,p, of all times the coin lands on heads is more than 71%. (a) State the null hypothesis HO and the alternative hypothesis H1 that you would use for the test. \\ H0: P S 7 H1: l ii = i ii X S (b) For your hypothesis test, you will use a Z-test. Find the values of np and n (1 p) to confirm that a Z-test can be used. (One standard is that npz 10 and n (1 p) 2 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the mpulation proportion you are testing. np=|] X s n(1-p)=D \\- |v| Isaznl -a MRI Fl |(l (c) Perform a Ztest. Here is some information to help you with your Z-test. - 20 05 is the value that cuts off an area of 0.05 in the right tail of the distribution. /\\ p-p pU-p) n - The value of the test statistic is given by 2: Standard Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) :1 Step 3: Enter the test statistic. (Round to 3 decimal places.) l:l