At a magic shop, the salesperson shows you a coin that she says will land on heads more than 74% 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 sample of coin flips.) The coin lands on heads o of those times. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the o.10 level of significance, to support the salesperson's claim that the proportion, p, of all times the coin lands on heads is more than 74%. » State the null hypothesis #, and the alternative hypothesis H, that you would use for the test. Da oso DO (D) For your hypothesis test, you will use a zest. Find the values of p and n(1-p) to confirm that a z-est can be used. (One standard is that np2 10 and a(1-p)210 under the assumption that the null hypothesis is true.) Here . is the sample size and p is the population proportion you are testing. (1-p)-0 « Perform a z-est. Here is some information to help you with your z-est fau is the value that cuts off an area of 0.10 in the right tail of the distribution. • The value of the test statistic is given by :- Normal Distribution Step Select ene taied or twe-taled. O Onetaled O Teotaled Step 2 Enter the ontcal valunn (Round t decimal places) Step Enter the test stanse. (Round to 3 decimal placem.) (e) Based on your answer to part (c), choose what can be concluded, at the o0.10 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
At a magic shop, the salesperson shows you a coin that she says will land on heads more than 74% 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 sample of coin flips.) The coin lands on heads o of those times. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the o.10 level of significance, to support the salesperson's claim that the proportion, p, of all times the coin lands on heads is more than 74%. » State the null hypothesis #, and the alternative hypothesis H, that you would use for the test. Da oso DO (D) For your hypothesis test, you will use a zest. Find the values of p and n(1-p) to confirm that a z-est can be used. (One standard is that np2 10 and a(1-p)210 under the assumption that the null hypothesis is true.) Here . is the sample size and p is the population proportion you are testing. (1-p)-0 « Perform a z-est. Here is some information to help you with your z-est fau is the value that cuts off an area of 0.10 in the right tail of the distribution. • The value of the test statistic is given by :- Normal Distribution Step Select ene taied or twe-taled. O Onetaled O Teotaled Step 2 Enter the ontcal valunn (Round t decimal places) Step Enter the test stanse. (Round to 3 decimal placem.) (e) Based on your answer to part (c), choose what can be concluded, at the o0.10 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
Question
Transcribed Image Text:At a magic shop, the salesperson shows you a coin that she says will
land on heads more than 74% 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 sample of
coin flips.) The coin lands on heads 60 of those times.
Complete the parts below to perform a hypothesis test to see if there is
enough evidence, at the o.10 level of significance, to support the
salesperson's claim that the proportion, p, of all times the coin lands on
heads is more than 74%.
(a) State the null hypothesis H, and the alternative hypothesis H, that you
would use for the test.
OSD
DRO D-O DeO
?
(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 np2 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 population proportion you are testing.
n (1-p)-0
(c) Perform a ztest. Here is some information to help you with your z-test.
.
010 is the value that cuts off an area of 0.10 in the right tail of the
distribution.
• The value of the test statistic is given by
P-P
P(1-p)
:=
Normal Distribution
Step 1: Select one-tailed or two-tailed.
O One-taled
O Two-talled
Step 2: Enter the cnitical value(s)
(Round to 3 decimal places.)
Step 3: Enter the test statistic
(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.
?
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 74% 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 74% 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 74% 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 74% of the
times it is flipped.
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