noppers at the mall spend tmas? The 59 randomly surveyed shoppers on the day after Thanksgiving spent an average of $ dard deviation was $39. The 53 randomly surveyed shoppers on the day after Christmas spent am 56. Their standard deviation was $37. What can be concluded at the a = 0.10 level of significar this study, we should use z-test for the difference between two population proportions O a. The null and alternative hypotheses would be: 0: 441 1: μ1 O = O # 44 μ2 Ⓒμ2 <> 0 = -2.915 (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) b. The test statistic t c. The p-value = 0.0043 d. The p-value is ? a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically insignificant at a = 0.10, so there is statistically significant onclude that the population mean amount of money that day after Thanksgiving sha

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Answer parts d through f
Do shoppers at the mall spend less money on average the day after Thanksgiving compared to the day after
Christmas? The 59 randomly surveyed shoppers on the day after Thanksgiving spent an average of $135. Their
standard deviation was $39. The 53 randomly surveyed shoppers on the day after Christmas spent an average
of $156. Their standard deviation was $37. What can be concluded at the a= 0.10 level of significance?
Ⓒ
For this study, we should use z-test for the difference between two population proportions
a. The null and alternative hypotheses would be:
Ho: μ1
H₁: μ1
✪
C
#
C μ2
©
μ2
C
C
= -2.915 (please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
b. The test statistic t
c. The p-value = 0.0043
d. The p-value is ?
a
e. Based on this, we should Select an answer the null hypothesis.
f. Thus, the final conclusion is that ...
O The results are statistically insignificant at a = 0.10, so there is statistically significant evidence
to conclude that the population mean amount of money that day after Thanksgiving shoppers
spend is equal to the population mean amount of money that day after Christmas shoppers spend.
The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
that the mean expenditure for the 59 day after Thanksgiving shoppers that were observed is less
than the mean expenditure for the 53 day after Christmas shoppers that were observed.
The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
that the population mean amount of money that day after Thanksgiving shoppers spend is less
than the population mean amount of money that day after Christmas shoppers spend.
The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude
that the population mean amount of money that day after Thanksgiving shoppers spend is less
than the population mean amount of money that day after Christmas shoppers spend.
Transcribed Image Text:Do shoppers at the mall spend less money on average the day after Thanksgiving compared to the day after Christmas? The 59 randomly surveyed shoppers on the day after Thanksgiving spent an average of $135. Their standard deviation was $39. The 53 randomly surveyed shoppers on the day after Christmas spent an average of $156. Their standard deviation was $37. What can be concluded at the a= 0.10 level of significance? Ⓒ For this study, we should use z-test for the difference between two population proportions a. The null and alternative hypotheses would be: Ho: μ1 H₁: μ1 ✪ C # C μ2 © μ2 C C = -2.915 (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) b. The test statistic t c. The p-value = 0.0043 d. The p-value is ? a e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... O The results are statistically insignificant at a = 0.10, so there is statistically significant evidence to conclude that the population mean amount of money that day after Thanksgiving shoppers spend is equal to the population mean amount of money that day after Christmas shoppers spend. The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the mean expenditure for the 59 day after Thanksgiving shoppers that were observed is less than the mean expenditure for the 53 day after Christmas shoppers that were observed. The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean amount of money that day after Thanksgiving shoppers spend is less than the population mean amount of money that day after Christmas shoppers spend. The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude that the population mean amount of money that day after Thanksgiving shoppers spend is less than the population mean amount of money that day after Christmas shoppers spend.
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