In a random sample of males, it was found that 21 write with their left hands and 224 do not. In a random sample of females, it was found that 67 write with theleft hands and 448 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females.Complete parts (a) through (c) below.OF. Ho Pt P2H P1

Hello. Since your question has multiple parts, we will solve first question for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.From the given sample values we can calculate the following For males, n1=245, p^1=21/245=0.0857 For females, n2=515, p^2=67/515=0.1301We will test the following hypothesis H0 : p1=p2, againstH1 : p1<p2Since the sample size is significantly high, we will use Z-statistic as the test statistic for our hypothesis testing. The value of test statistic from the given sample data is as follows Z=p^1-p^2-p1-p2H0p^11-p^1n1+p^21-p^2n2 =0.0857-0.1301-00.08571-0.0857245+0.13011-0.1301515=-1.91 The absolute value of test statistic is Z=1.91P-value is the tail area captured by the test statistic. That is, P-value = PZ<-1.91=PZ>1.91=0.0281Compare the P-value with given level of significance, α=0.01 as follows P-value=0.0281>0.01=α Hence, we fail to reject the null hypothesis. We can come to the following conclusion based on hypothesis testing The P-value is 0.0281, the significance level of α=0.01, so we fail to reject the null hypothesis. There is no sufficient evidence to support the claim that the rate of left-handedness among males is less than that among females.

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In a random sample of males, it was found that 21 write with their left hands and 224 do not. In a random sample of females, it was found that 67 write with left hands and 448 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females Complete parts (a) through (c) below OF. H P1 P2 H P P2 D. Ho P1 P2 OE. Ho Pt SP2 H Pi P2 H, Pr P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? V evidence to support the claim the significance level of a = 0.01, so the null hypothesis. There The P-value is that the rate of left-handedness among males is less than that among females. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is< (P -P2)

In a random sample of males, it was found that 21 write with their left hands and 224 do not. In a random sample of females, it was found that 67 write with left hands and 448 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females Complete parts (a) through (c) below OF. H P1 P2 H P P2 D. Ho P1 P2 OE. Ho Pt SP2 H Pi P2 H, Pr P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? V evidence to support the claim the significance level of a = 0.01, so the null hypothesis. There The P-value is that the rate of left-handedness among males is less than that among females. b. Test the claim by constructing an appropriate confidence interval. The 98% confidence interval is< (P -P2)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Concept explainers

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.

Tree diagram

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

In a random sample of males, it was found that 21 write with their left hands and 224 do not. In a random sample of females, it was found that 67 write with the
left hands and 448 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females.
Complete parts (a) through (c) below.
OF. Ho Pt P2
H P1 <P2
O E. Ho P1SP2
D. Ho P1 P2
H Pi #P2
Identify the test statistic.
(Round to two decimal places as needed.)
Identify the P-value.
P-value =
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
v the null hypothesis. There
V evidence to support the claim
The P-value is
V the significance level of a = 0.01, so
that the rate of left-handedness among males is less than that among females.
b. Test the claim by constructing an appropriate confidence interval.
The 98% confidence interval is < (p,-P2) <U
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
V There
Vevidence
0, it appears that the two rates of left-handedness are
Because the confidence interval limits
to support the claim that the rate of left-handedness among males is less than that among females.
c. Based on the results, is the rate of left-handedness among males less than the rate of left-handedness among females?
O A. The rate of left-handedness among males does not appear to be less than the rate of left-handedness among females.
O B. The rate of left-handedness among males does appear to be less than the rate of left-handedness among females because the resuits are not
statistically significant
O C. The rate of left-handedness among males does appear to be less than the rate of left-handedness among females because the results are
statistically significant.
O D. The results are inconclusive.
Click to select your answer(s).
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