Question

A market researcher believes that brand perception of one of the company's products may vary between different groups. After interviewing 327persons, the following data was compiled. Can we conclude that brand perception is dependent on age?

Age | Favorable | Unfavorable | Neutral | Total |
---|---|---|---|---|

18-30 | 69 | 21 | 25 | 115 |

30-45 | 67 | 24 | 22 | 113 |

Over 45 | 56 | 21 | 22 | 99 |

Total | 192 | 66 | 69 | 327 |

Step 1 of 8: State the null and alternative hypothesis.

Step 2 of 8: Find the expected value for the number of particpants who are 18-30 years old and have a favorable perception of the brand. Round your answer to one decimal place.

Step 3 of 8: Find the expected value for the number of particpants who are 18-30 years old and have a neutral perception of the brand. Round your answer to one decimal place.

Step 4 of 8: Find the value of the test statistic. Round your answer to three decimal places.

Step 5 of 8: Find the degrees of freedom associated with the test statistic for this problem.

Step 6 of 8: Find the critical value of the test at the 0.1 level of significance. Round your answer to three decimal places.

Step 7 of 8: Make the decision to reject or fail to reject the null hypothesis at the 0.1 level of significance.

Step 8 of 8: State the conclusion of the hypothesis test at the 0.1 level of significance.

Answer #1

Step 1 : the null and alternative hypothesis.

H0: brand perception is independent on age

vs

H1: brand perception is dependent on age

Step 2 : the expected value for the number of particpants who are 18-30 years old and have a favorable perception of the brand=67.5

Step 3 : the expected value for the number of particpants who are 18-30 years old and have a neutral perception of the brand=24.3

Step 4 : the value of the test statistic=0.665

Step 5 : the degrees of freedom associated with the test statistic for this problem.

=(Row-1)(Column-1) = 2*2 = 4

Step 6 : the critical value of the test at the 0.1 level of significance=7.779

Step 7 : fail to reject the null hypothesis at the 0.1 level of significance.

Since P value 0.9555 > 0.10

Step 8 : There is not enough evidence to say that, brand perception is dependent on age

A market researcher believes that brand perception of one of the
company's products may vary between different groups. After
interviewing 278persons, the following data was compiled. Can we
conclude that brand perception is dependent on age?
Age
Favorable
Unfavorable
Neutral
Total
18-30
50
15
17
82
30-45
45
17
16
78
Over 45
72
20
26
118
Total
167
52
59
278
a. Find the value of the test statistic. Round your answer to
three decimal places.
b. Find the...

market researcher believes that brand perception of one of the
company's products may vary between different groups. After
interviewing 401persons, the following data was compiled. Can we
conclude that brand perception is dependent on age?
Age
Favorable
Unfavorable
Neutral
Total
18-30
66
16
16
98
30-45
70
42
42
154
Over 45
98
24
27
149
Total
234
82
85
401
Step 3 of 8 :
Find the expected value for the number of particpants who are
over 45 years...

A market researcher believes that brand perception of one of the
company's products may vary between different groups. After
interviewing 278 persons, the following data was compiled. Can we
conclude that brand perception is dependent on age?
Age
Favorable
Unfavorable
Neutral
Total
18-30
50
15
17
82
30-45
45
17
16
78
Over 45
72
20
26
118
Total
167
52
59
278
Step 1 of 8 : State the null and
alternative hypothesis.
Answer
H0: brand perception and age are...

A market researcher believes that brand perception of one of the
company's products may vary between different groups. After
interviewing 278278persons, the following data was compiled. Can we
conclude that brand perception is dependent on age?
Age
Favorable
Unfavorable
Neutral
Total
1818-3030
5050
1515
1717
8282
3030-4545
4545
1717
1616
7878
Over 4545
7272
2020
2626
118118
Total
167167
5252
5959
278278
a. Find the value of the test statistic. Round your answer to
three decimal places.
b. Find the...

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