In a random sam of males, it was found that 25 write with their left hands and 2

Question

In a random sam of males, it was found that 25 write with their left hands and 219 do not. In a random sample of females, it was found that 57 write with their left hands and 437 do not. Use a 0.05 significance level to test the claim that the rate ple of left-handedness among males is less than that among females. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. altermative hypotheses for the hypothesis test? Consider the first sample to be the sample of m and the second sample of females. What are the nu and sample to be the O B. Ho: p1 p2 O A. Ho: p P2 O C. Ho: p. P2 H1: p p2 H1: p O D. Ho: p1 sp2 O F. Ho p12p2 O E. Ho: p p2 H1: p1 p2 H1: p. H1: p1 p2 P2

Explanation / Answer

First image depicts different question and second image depicts different question for which we dont have any information available. Hence, i am working on first image.

The statistical software output for this problem is:

Two sample proportion hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 < 0
Note: the standard error is calculated using a pooled estimate for the proportion

Hypothesis test results:

Hence,

a) Option A is correct.

z = -0.53

p = 0.300

Greater; do not reject; insufficient evidence

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 25 244 57 494 -0.012925599 0.024590778 -0.52562789 0.2996

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