random sample of males, it was found that 22 write with their left hands and 209 do not. In a random sample of females, it was found that 67 write with their left hands and 469 do not. Use m that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below. Siaer tne tirst sampie to be tne sampie or maies ana tne secona sampie to pe tne sampie oT temaies. vvnat are tne nuii ana aiternative nypotneses ror tne nypotnesis test? OC. Ho: P1 = P2 H: P1 > P2 &F. Ho: P1 =P2 H: P,

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In a random sample of males, it was found that 22 write with their left hands and 209 do not. In a random sample of females, it was found that 67 write with their left hands and 469 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.
Consider tne Tirst sampie to pe the sampie or maies ana the secona sampie to be the sampie of femaies. vwnat are tne nuil and aternative nypotneses for the nypotnesis test?
O A. Ho: P1 # P2
H1: P1 = P2
O B. Ho: P1 2 P2
H: P1 #P2
O C. Ho: P1 = P2
H,: P1 > P2
O E. Ho: P1 <P2
H,:P, #P2
YF. Ho: P1 = P2
H: P1 <P2
O D. Ho: P1 = P2
H1: P1 # P2
Identify the test statistic.
z= -1.18
(Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.119
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is greater than the significance level of a =0.01, so fail to reject the null hypothesis. There is not sufficient evidence to support the claim 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 < (P1 - P2) <U
(Round to three decimal places as needed.)
Transcribed Image Text:In a random sample of males, it was found that 22 write with their left hands and 209 do not. In a random sample of females, it was found that 67 write with their left hands and 469 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. Consider tne Tirst sampie to pe the sampie or maies ana the secona sampie to be the sampie of femaies. vwnat are tne nuil and aternative nypotneses for the nypotnesis test? O A. Ho: P1 # P2 H1: P1 = P2 O B. Ho: P1 2 P2 H: P1 #P2 O C. Ho: P1 = P2 H,: P1 > P2 O E. Ho: P1 <P2 H,:P, #P2 YF. Ho: P1 = P2 H: P1 <P2 O D. Ho: P1 = P2 H1: P1 # P2 Identify the test statistic. z= -1.18 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.119 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a =0.01, so fail to reject the null hypothesis. There is not sufficient evidence to support the claim 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 < (P1 - P2) <U (Round to three decimal places as needed.)
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