Identify the CONCLUSION of a hypothesis test of the following
claim and sample data:
Claim: “The proportion of symptom-free placebo subjects is less
than the proportion of symptom-free subjects who received a new
supplement.”
A medical researcher wants to determine if a new supplement is
effective at reducing the duration of the common cold. Healthy
subjects are intentionally infected with a cold-causing virus, and
then given either a placebo or the new supplement one day later. Of
the 267 subjects who were given a placebo, 33% were symptom-free a
week later. And of the 289 subjects who were given the supplement,
56% were symptom-free after a week. Test the claim at the 0.01
significance level.
| a. | There is not sufficient evidence to warrant rejection of the claim. | b. | There is sufficient evidence to support the claim. |
|---|---|---|---|
| c. | There is not sufficient evidence to support the claim. | d. | There is sufficient evidence to warrant rejection of the claim. |
Identify the CONCLUSION of a hypothesis test of the following claim and sample data: Claim: “The...
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You are conducting a multinomial hypothesis test (a = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Observed Expected Category Frequency Frequency А 13 B 5 с 14 D 15 E 8 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. What is the chi-square test-statistic for this data? (Report answer accurate to three decimal places, and remember to use the unrounded...
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You wish to test the following claim (Ha) at a significance level of α 0.02. Ho:p1 = p2 You obtain 142 successes in a sample of size ni = 725 from the first population. You obtain 48 successes in a sample of size n2 = 289 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is...
You wish to test the following claim ( H a ) at a significance level of α = 0.002 . H o : p = 0.46 H a : p < 0.46 You obtain a sample of size n = 295 in which there are 113 successful observations. What is the test statistic for this sample? (Report answer accurate to two decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)...
You wish to test the following claim a significance level of α = 0.05 . H o : p = 0.5 H a : p > 0.5 You obtain a sample of size n = 461 in which there are 257 successful observations. What is the test statistic for this sample? test statistic = Round to 3 decimal places. What is the p-value for this sample? P-value = Use Technology Round to 4 decimal places. The p-value is... less than...
You wish to test the following claim a significance level of α 0.01 Ho:p 0.16 Ha: p 0.16 You obtain a sample of size n 649 in which there are 92 successful observations a. What is the test statistic for this sample? Round to 3 decimal places test statistic b. What is the p-value for this sample? Use Technology Round to 4 decimal places P-value- c. The p-value is... o less than (or equal to) α greater than a d....
You wish to test the following claim ( H a ) at a significance level of α = 0.002 . H o : p 1 = p 2 H a : p 1 > p 2 You obtain 45.2% successes in a sample of size n 1 = 217 from the first population. You obtain 33.3% successes in a sample of size n 2 = 727 from the second population. For this test, use the normal distribution as an approximation...
You wish to test the following claim ( H a ) at a significance level of α = 0.005 . H o : p 1 = p 2 H a : p 1 < p 2 You obtain 11.3% successes in a sample of size n 1 = 781 from the first population. You obtain 14.2% successes in a sample of size n 2 = 639 from the second population. For this test, use the normal distribution as an approximation...
You wish to test the following claim ( H a ) at a significance level of α = 0.01 . H o : p = 0.2 H a : p > 0.2 You obtain a sample of size n = 123 in which there are 35 successful observations. For this test, you should use the (cumulative) binomial distribution to obtain an exact p-value. (Do not use the normal distribution as an approximation for the binomial distribution.) The p-value for this...
Given p = 0.3143 and N= 35 for the high income group, Test the claim that the proportion of children in the high income group that drew the nickel too large is smaller than 50%. Test at the 0.01 significance level. a) Identify the correct alternative hypothesis: Op = .50 Op > .50 Ou > .50 ou < .50 Op < .50 Ou = .50 AA. VV Give all answers correct to 3 decimal places. b) The test statistic value...
You are conducting a multinomial hypothesis test (αα = 0.05) for
the claim that all 5 categories are equally likely to be
selected.
Category
Observed
Frequency
A
20
B
15
C
15
D
12
E
18
What is the chi-square test-statistic for this data?
χ2=χ2=
What are the degrees of freedom for this test?
d.f. =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value is...
less than (or equal to)...