At a magic shop, the salesperson shows you a coin that she says will land on heads more than 73% 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 60 times. (Consider this a random sample of coin flips.) The coin lands on heac 47 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 73%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. Ho: O

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At a magic shop, the salesperson shows you a coin that she says will land on heads more than 73% 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 60 times. (Consider this a random sample of coin flips.) The coin lands on heads
47 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 73%.
(a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test.
O<O
OSO
H:
O=0
(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 np 210 and
n(1-p) > 10 under the assumption that the null hypothesis is true.) Heren is the sample size and p is the population proportion you are testing.
olo
Transcribed Image Text:At a magic shop, the salesperson shows you a coin that she says will land on heads more than 73% 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 60 times. (Consider this a random sample of coin flips.) The coin lands on heads 47 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 73%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. O<O OSO H: O=0 (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 np 210 and n(1-p) > 10 under the assumption that the null hypothesis is true.) Heren is the sample size and p is the population proportion you are testing. olo
(d) Based on your answer to part (c), choose what can be concluded, at the 0.05 level of significance, about the claim made by
the salesperson.
O Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough
evidence to support the claim that the coin lands on heads more than 73% of the times it is flipped.
O Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not
enough evidence to support the claim that the coin lands on heads more than 73% of the times it is flipped.
O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there is
enough evidence to support the claim that the coin lands on heads more than 73% of the times it is flipped.
O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So, there is
not enough evidence to support the claim that the coin lands on heads more than 73% of the times it is flipped.
Transcribed Image Text:(d) Based on your answer to part (c), choose what can be concluded, at the 0.05 level of significance, about the claim made by the salesperson. O Since the value of the test statistic lies in the rejection region, the null hypothesis is rejected. So, there is enough evidence to support the claim that the coin lands on heads more than 73% of the times it is flipped. O Since the value of the test statistic lies in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the coin lands on heads more than 73% of the times it is flipped. O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is rejected. So, there is enough evidence to support the claim that the coin lands on heads more than 73% of the times it is flipped. O Since the value of the test statistic doesn't lie in the rejection region, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the coin lands on heads more than 73% of the times it is flipped.
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