Please answer all parts for thumbs up e) A recent study found that 333 of 1771 U

Question

Please answer all parts for thumbs up

e)

A recent study found that 333 of 1771 US teenagers surveyed showed some level of hearing loss. As MSNBC.com, Carla Johnson summarized the study with the headline: " in 5 U.S. teens has hearing loss, study says". A simulation was conducted to test whether Ms. Johnson's claim is accurate Select the appropriate null hypothesis. a. The true proportion of US teenagers with hearing loss is 0.2 b. The true proportion of US teenagers with hearing loss is 0.188 c. The true proportion of US teenagers with hearing loss is not 0. d. The true proportion of US teenagers with hearing loss is not 0.188 a. The null distribution from the simulation is presented below. Summary Stats Mean- 0.200 SD 0.010 0.2148 0.16 0.18 19 020 022 023 024 0.1880 0.2123 Proportion of successes b. [3 pts] The p-value from the plot about is 0.2146. Using this output, give a conclusion in the context of this problem. (Do not INTERPRET the p-value, but rather EVALUATE the strength of evidence.)

Explanation / Answer

a)
option A) is correct

b)
since p-value > 0.05
we fail to reject the null hypothesis
there is not sufficient evidence that true proportion is not 0.2

c)
mean = 0.2
sd = 0.010

95 % confidence interval = (0.2 - 2* 0.01 , 0.2 + 2*0.01)
= (0.18 , 0.22)

d)

A) we are 95 % confident that the true proportion of US teen is between 0.18 and 0.22

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