podness-of-fit test where all assumptions were met yielded the chi-square test statistic x² = 1.92 and a corresponding p-valu a 0.75 probability of observing a test statistic of x2 = 1.92 or larger. What is wrong with the researcher's interpretation? saC %3D %3D The researcher did not state that the p-value is conditional on the null hypothesis being true. The researcher interpreted the p-value as the probability of observing 1.92 exactly. The alternative hypothesis is not stated. D The significance level is not stated. The degrees of freedom are not stated.

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Question 14
Ax goodness-of-fit test where all assumptions were met yielded the chi-square test statistic x² = 1.92 and a corresponding p-value of 0.75. The researcher interpreted the p-
value as a 0.75 probability of observing a test statistic of x² = 1.92 or larger. What is wrong with the researcher's interpretation?
.2
,2
A
The researcher did not state that the p-value is conditional on the null hypothesis being true.
The researcher interpreted the p-value as the probability of observing 1.92 exactly.
C
The alternative hypothesis is not stated.
The significance level is not stated.
The degrees of freedom are not stated.
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4)
F11
000
F10
20
F3
esc
D00
F4
F7
F8
F9
F5
F6
FI
F2
E
Transcribed Image Text:Question 14 Ax goodness-of-fit test where all assumptions were met yielded the chi-square test statistic x² = 1.92 and a corresponding p-value of 0.75. The researcher interpreted the p- value as a 0.75 probability of observing a test statistic of x² = 1.92 or larger. What is wrong with the researcher's interpretation? .2 ,2 A The researcher did not state that the p-value is conditional on the null hypothesis being true. The researcher interpreted the p-value as the probability of observing 1.92 exactly. C The alternative hypothesis is not stated. The significance level is not stated. The degrees of freedom are not stated. > 4) F11 000 F10 20 F3 esc D00 F4 F7 F8 F9 F5 F6 FI F2 E
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Question 13
A major credit card company is investigating whether the distribution of the number of credit cards used by its customers has changed from last year to this year. Customers are
classified as using 1 card, 2 cards, or more than 2 cards. The company conducts a chi-square goodness-of-fit test to investigate whether there is a change in the distribution of
number of cards used from last year to this year. The value of the chi-square test statistic was x? = 7.82 with a corresponding p-value of 0.02. Assuming the conditions for
inference were met, which of the following is the correct interpretation of this p-value?
A
There is a 2 percent chance that the company's claim is correct.
There is a 2 percent chance of obtaining a chi-square value of at least 7.82.
C
If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.
If the null hypothesis were true, there is a 2 percent chance that the company's claim is correct.
E
If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of 7.82.
80
O00
D00 F4
SC
F10
FII
F1
F2
F3
F5
F6
F7
F8
F9
8
5
2
Transcribed Image Text:3 4 6. 7 10 11 12 13 14 15 16 ( 13 Question 13 A major credit card company is investigating whether the distribution of the number of credit cards used by its customers has changed from last year to this year. Customers are classified as using 1 card, 2 cards, or more than 2 cards. The company conducts a chi-square goodness-of-fit test to investigate whether there is a change in the distribution of number of cards used from last year to this year. The value of the chi-square test statistic was x? = 7.82 with a corresponding p-value of 0.02. Assuming the conditions for inference were met, which of the following is the correct interpretation of this p-value? A There is a 2 percent chance that the company's claim is correct. There is a 2 percent chance of obtaining a chi-square value of at least 7.82. C If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82. If the null hypothesis were true, there is a 2 percent chance that the company's claim is correct. E If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of 7.82. 80 O00 D00 F4 SC F10 FII F1 F2 F3 F5 F6 F7 F8 F9 8 5 2
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