Please show all work and formulas used and don\'t use excel or similar program.

ID: 3383951 • Letter: P

Question

Please show all work and formulas used and don't use excel or similar program. Thank you!

Consider the hypothesis test given by

H0: p=0.5

H1:p>0.5

In a random sample of 100 subjects, the sample proportion is found to be p^= 0.55

(a) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.

(b) Determine the P-value for this test. Show all work; writing the correct P -value, without supporting work, will receive no credit.

H0: p=0.5

H1:p>0.5

This is right tailed test for proportions

As n =100, >30 z test can be used

p difference = 0.55-0.5 = 0.05

Std error = 0.05

The two samples are not significantly different.

As p value >0.01 there is no sufficient evidence to justify the rejection of H0 at the a=0.01 level

z-value 1.000 one-tailed p-value 0.1587 95% confidence internvals upper Inf lower 0.3837

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