Pi- P2 SE Suppose a drug company is developing a vaccine, designed to protect against a particular virus. The company states hat the vaccine will be equally effective for men and women. n its initial stage, a researcher selects a random sample of 200 men and 100 women independently. At the end of the study, 15 of the men and 10 of the women showed symptoms of the virus after taking the vaccine. Is there enough evidence to conclude that there is a significant difference in the proportions of men and women who show symptoms of the virus after taking the vaccine? (a) State the appropriate hypotheses to answer this question. (b) Compute the test-statistic. (c) (i) Calculate the p-value. (ii) Interpret the p-value you have found. (d) State your conclusion in context of the situation. Page 1

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Pi- P2
Z. =
%3D
SE
Suppose a drug company is developing a vaccine, designed to protect against a particular virus. The company states
that the vaccine will be equally effective for men and women.
In its initial stage, a researcher selects a random sample of 200 men and 100 women independently. At the end of the
study, 15 of the men and 10 of the women showed symptoms of the virus after taking the vaccine.
Is there enough evidence to conclude that there is a significant difference in the proportions of men and women who
show symptoms of the virus after taking the vaccine?
(a) State the appropriate hypotheses to answer this question.
(b) Compute the test-statistic.
(c) (i) Calculate the p-value.
(ii) Interpret the p-value you have found.
(d) State your conclusion in context of the situation.
Page 1
135
Transcribed Image Text:Pi- P2 Z. = %3D SE Suppose a drug company is developing a vaccine, designed to protect against a particular virus. The company states that the vaccine will be equally effective for men and women. In its initial stage, a researcher selects a random sample of 200 men and 100 women independently. At the end of the study, 15 of the men and 10 of the women showed symptoms of the virus after taking the vaccine. Is there enough evidence to conclude that there is a significant difference in the proportions of men and women who show symptoms of the virus after taking the vaccine? (a) State the appropriate hypotheses to answer this question. (b) Compute the test-statistic. (c) (i) Calculate the p-value. (ii) Interpret the p-value you have found. (d) State your conclusion in context of the situation. Page 1 135
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