According to the CDC's COVID-19 vaccine distribution and administration data tracker in early April, Alaska has the highest percentage of its population fully vaccinated against COVID-19. A sample of 500 adults surveyed shows that 165 have been fully vaccinated. (a) Estimate the average percentage of adults in Alaska who have been fully vaccinated. Use (b) Is there sufficient evidence to support the claim that over 30 percent of the adults in Alaska have been fully vaccinated?? Use

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According to the CDC's COVID-19 vaccine distribution and administration data tracker in early April, Alaska has the highest percentage of its population fully vaccinated against COVID-19. A sample of 500 adults surveyed shows that 165 have been fully vaccinated.

(a) Estimate the average percentage of adults in Alaska who have been fully vaccinated. Use

(b) Is there sufficient evidence to support the claim that over 30 percent of the adults in Alaska have been fully vaccinated?? Use

(c) What is the -value of the test in (b)?

(d) Would your conclusion be different if

(Note: For your convenience, you can copy/ paste the following notations.)

 

 

 

4. According to the CDC's COVID-19 vaccine distribution and administration data tracker in
early April, Alaska has the highest percentage of its population fully vaccinated against COVID-
19. A sample of 500 adults surveyed shows that 165 have been fully vaccinated.
(a) Estimate the average percentage of adults in Alaska who have been fully vaccinated. Use
a = 0.10.
(b) Is there sufficient evidence to support the claim that over 30 percent of the adults in Alaska
have been fully vaccinated?? Use a = 0.05.
(c) What is the p-value of the test in (b)?
(d) Would your conclusion be different if a = 0.01?
(Note: For your convenience, you can copy/ paste the following notations.)
H, p,X, P, Ho, Ha, 0,s, Za, Za/2, Zo.1, Zo.05, Zo.025, Zo.01, Zo.005, ta, ta/2, to.1, to.o5, to.025, to.01, to.005,
Sxy
Fa, Fo.1, Fo.05, Fo.01,>,<,=,#,±,H, Hlz, P(Z >), P(Z <), P (T > ), P(T <), bo, b,
SSz
P(1-P) z =
Za/2
p- p
P(1 -p)
-,T
Za/2
Vn'
ta/2"
n
n
Transcribed Image Text:4. According to the CDC's COVID-19 vaccine distribution and administration data tracker in early April, Alaska has the highest percentage of its population fully vaccinated against COVID- 19. A sample of 500 adults surveyed shows that 165 have been fully vaccinated. (a) Estimate the average percentage of adults in Alaska who have been fully vaccinated. Use a = 0.10. (b) Is there sufficient evidence to support the claim that over 30 percent of the adults in Alaska have been fully vaccinated?? Use a = 0.05. (c) What is the p-value of the test in (b)? (d) Would your conclusion be different if a = 0.01? (Note: For your convenience, you can copy/ paste the following notations.) H, p,X, P, Ho, Ha, 0,s, Za, Za/2, Zo.1, Zo.05, Zo.025, Zo.01, Zo.005, ta, ta/2, to.1, to.o5, to.025, to.01, to.005, Sxy Fa, Fo.1, Fo.05, Fo.01,>,<,=,#,±,H, Hlz, P(Z >), P(Z <), P (T > ), P(T <), bo, b, SSz P(1-P) z = Za/2 p- p P(1 -p) -,T Za/2 Vn' ta/2" n n
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