Write the claim mathematically and identify H_2 and H_ Find the critical value(s
ID: 3154998 • Letter: W
Question
Write the claim mathematically and identify H_2 and H_ Find the critical value(s) and identify the rejection region Find the standardized test statistic. Decide whether to reject or tall to reject the null hypothesium. An environment agency recently diamond more than 33% of consumers have stopped buying a certain product because of environmental concerns. In a random sample of 1100 consumers, you find 37% have stopped buying the product. At g = 0.03, do you have enough evidence to support the claim? What is (are) the critical value(s) z_0? (Use a comma to separate answers as needed. Round to two decimal places as needed.) Which of the following graphs has the rejection region(s) shaded correctly? What is the standard that statistic? Which of the following in the correct conclusion for the lest? Reject H_0. There is not enough evidence to support the claim.Explanation / Answer
A)
Claim: p > 0.33
Formulating the null and alternatuve hypotheses,
Ho: p <= 0.33
Ha: p > 0.33 [ANSWER]
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b)
As alpha = 0.03, right tailed, the critical z is, by table/technology,
zcrit = 1.880793608 [ANSWER]
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It is right tailed, so the shaded area must be to the right, so OPTION B. [ANSWER]
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c)
As we see, the hypothesized po = 0.33
Getting the point estimate of p, p^,
p^ = x / n = 0.37
Getting the standard error of p^, sp,
sp = sqrt[po (1 - po)/n] = 0.014177447
Getting the z statistic,
z = (p^ - po)/sp = 2.821382463 [ANSWER, TEST STATISTIC]
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d)
As z > 1.88, we REJECT HO. There is enough evidence to support the claim.
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