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In clinical trials of a​ medication, 2128 subjects were divided into two groups. The 1585 subjects...

In clinical trials of a​ medication, 2128 subjects were divided into two groups. The 1585 subjects in group 1 received the medication. The 543 in group 2 received a placebo. Of the 1585 subjects in group​ 1, 50 experienced dizziness as a side effect. In group​ 2, 17 experienced dizziness as a side effect. To test whether the proportion experiencing dizziness in group 1 is greater than that in group​ 2, the researchers entered the data into statistical software and obtained the following results. Test at alphaequals0.05. Sample X N Sample p Estimate for ​p(1)minus​p(2): 0.000238 1 50 1585 0.031546 ​95% CI for ​p(1)minus​p(2): ​(negative 0.01675​, 0.017226​) 2 17 543 0.031308 Test for ​p(1)minus​p(2)equals0 ​(vsgreater than​0): zequals0.03 ​P-valueequals0.489 ​(This is a reading assessment question. Be certain of your answer because you only get one attempt on this​ question.) What conclusion can be drawn at the alphaequals0.05 level of​ significance? A. Reject Upper H 0​, there is enough evidence to conclude that the proportion experiencing dizziness in group 1 is greater than the proportion experiencing dizziness in group 2. B. Reject Upper H 0​, there is not enough evidence to conclude that the proportion experiencing dizziness in group 1 is greater than the proportion experiencing dizziness in group 2. C. Do not reject Upper H 0​, there is not enough evidence to conclude that the proportion experiencing dizziness in group 1 is greater than the proportion experiencing dizziness in group 2. D. Do not reject Upper H 0​, there is enough evidence to conclude that the proportion experiencing dizziness in group 1 is greater than the proportion experiencing dizziness in group 2.

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Answer #1

it is given that the z value is 0.03 and p value is 0.489 and it is a right tailed hypothesis.

p value is greater than 0.05 significance level, resulting in failure to reject the null hypothesis.

therefore,we can conclude that proportion experiencing dizziness in group 1 is not greater than that in group​ 2

option C is correct

C. Do not reject Upper H 0​, there is not enough evidence to conclude that the proportion experiencing dizziness in group 1 is greater than the proportion experiencing dizziness in group 2.

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