An advertising firm has decided to ask 98 customers at each of four local shopping malls if they are willing to take part in a market research survey. At αα = 0.05 is there evidence to show that the proportions are not all the same. A B C D Willing 69 65 68 70 Not Willing 29 33 30 28 What are the expected numbers? (round to 3 decimal places) A B C D Willing Not Willing The hypotheses are H0:pA=pB=pC=pDH0:pA=pB=pC=pD HA:HA: At least one of the proportions is different. (claim) Since αα = 0.05 the critical value is 7.815 The test value is: (round to 3 decimal places) The p-value is (round to 3 decimal places) So the decision is to do not reject H0H0 reject H0H0 Thus the final conclusion is There is not enough evidence to support the claim that at least one of the proportions is different. There is not enough evidence to reject the claim that at least one of the proportions is different. There is enough evidence to reject the claim that at least one of the proportions is different. There is enough evidence to support the claim that at least one of the proportions is different.
An advertising firm has decided to ask 98 customers at each of four local shopping malls if they are willing to take part in a market research survey. At αα = 0.05 is there evidence to show that the proportions are not all the same. A B C D Willing 69 65 68 70 Not Willing 29 33 30 28 What are the expected numbers? (round to 3 decimal places) A B C D Willing Not Willing The hypotheses are H0:pA=pB=pC=pDH0:pA=pB=pC=pD HA:HA: At least one of the proportions is different. (claim) Since αα = 0.05 the critical value is 7.815 The test value is: (round to 3 decimal places) The p-value is (round to 3 decimal places) So the decision is to do not reject H0H0 reject H0H0 Thus the final conclusion is There is not enough evidence to support the claim that at least one of the proportions is different. There is not enough evidence to reject the claim that at least one of the proportions is different. There is enough evidence to reject the claim that at least one of the proportions is different. There is enough evidence to support the claim that at least one of the proportions is different.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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An advertising firm has decided to ask 98 customers at each of four local shopping malls if they are willing to take part in a market research survey. At αα = 0.05 is there evidence to show that the proportions are not all the same.
| A | B | C | D | |
| Willing | 69 | 65 | 68 | 70 |
| Not Willing | 29 | 33 | 30 | 28 |
What are the expected numbers? (round to 3 decimal places)
| A | B | C | D | |
| Willing | ||||
| Not Willing |
The hypotheses are
H0:pA=pB=pC=pDH0:pA=pB=pC=pD
HA:HA: At least one of the proportions is different. (claim)
Since αα = 0.05 the critical value is 7.815
The test value is: (round to 3 decimal places)
The p-value is (round to 3 decimal places)
So the decision is to
- do not reject H0H0
- reject H0H0
- There is not enough evidence to support the claim that at least one of the proportions is different.
- There is not enough evidence to reject the claim that at least one of the proportions is different.
- There is enough evidence to reject the claim that at least one of the proportions is different.
- There is enough evidence to support the claim that at least one of the proportions is different.
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