2. Match each p-value to the most appropriate conclusion. A 0.0245 B 0.0036 C 0.0682 "The evidence against the null and in favor of the alternative is very strong." "The result is significant at the 5% level but not at the 1% level." "There is really no evidence supporting the alternative hypothesis." "The evidence against the null is significant, but only at the 10% level." D 0.3619

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question
1. Consider testing the hypotheses Ho: p= 0.43 versus Ha: p>0.43. Four possible sample
statistics, along with four possible p-values, are given. Match the statistics to their p-values.
A
||||
p-value = 0.872
p-value = 0.586
p-value = 0.276
p-value = 0.038
B
A 0.0245
2. Match each p-value to the most appropriate conclusion.
B 0.0036
p-value = 0.042
p-value = 0.006
p-value = 0.084
p-value = 0.118
C
C 0.0682
10%
"The evidence against the null and in favor of the alternative is very strong."
"The result is significant at the 5% level but not at the 1% level."
"There is really no evidence supporting the alternative hypothesis."
"The evidence against the null is significant, but only at the 10% level.'
D
D 0.3619
3. For each p-value given, indicate the level(s) at which it would be significant. For each cell of
the table put either S for "significant" or NS for "not significant".
5%
99
1%
5. For each p-value, indicate the correct conclusion of the test (either R for "Reject H," or DNR
for "Do not reject H") based on this p-value if we use a 5% significance level.
(a) p-value = 0.008
(b) p-value = 0.083
Transcribed Image Text:1. Consider testing the hypotheses Ho: p= 0.43 versus Ha: p>0.43. Four possible sample statistics, along with four possible p-values, are given. Match the statistics to their p-values. A |||| p-value = 0.872 p-value = 0.586 p-value = 0.276 p-value = 0.038 B A 0.0245 2. Match each p-value to the most appropriate conclusion. B 0.0036 p-value = 0.042 p-value = 0.006 p-value = 0.084 p-value = 0.118 C C 0.0682 10% "The evidence against the null and in favor of the alternative is very strong." "The result is significant at the 5% level but not at the 1% level." "There is really no evidence supporting the alternative hypothesis." "The evidence against the null is significant, but only at the 10% level.' D D 0.3619 3. For each p-value given, indicate the level(s) at which it would be significant. For each cell of the table put either S for "significant" or NS for "not significant". 5% 99 1% 5. For each p-value, indicate the correct conclusion of the test (either R for "Reject H," or DNR for "Do not reject H") based on this p-value if we use a 5% significance level. (a) p-value = 0.008 (b) p-value = 0.083
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