Marketing research has indicated that males and females may have different color preferences in visual advertising with males preferring brighter colors and females preferring softer tones. To test this theory, researchers surveyed females and males by asking them to rate two different visual advertisements for clothing items with the first ad primarily having bright red and blue lettering and graphics and the second primarily having pastel blue and yellow lettering and graphics. The results were as follows. Preferred BrightBlue and RedPreferred PastelBlue and YellowTotalMales8550135Females6580145 Researchers suggested that males would be more likely to prefer the brighter colors than females.(a)If p1 represents the true proportion of males that prefer brighter colors in advertisements, and p2 represents the true proportion of females that prefer brighter colors in advertisements, state the appropriate null and alternative hypotheses for this study.H0: p1 ? < = > ≠p2Ha: p1 ? < = > ≠p2(b)Calculate the test statistic. (Round your answer to two decimal places.) (c)Find the P-value for this data. (Use a table or SALT. Round your answer to four decimal places.) (d)Based on ? = 0.01, what is the appropriate conclusion for the hypothesis test?Reject the null hypothesis.Fail to reject the null hypothesis. Accept the null hypothesis.Fail to accept the null hypothesis. Marketing research has indicated that males and females may have different color preferences in visual advertising with males preferring brighter colors and females preferring softer tones. To test this theory, researchers surveyedfemales and males by asking them to rate two different visual advertisements for clothing items with the first ad primarily having bright red and blue lettering and graphics and the second primarily having pastel blue and yellow letteringand graphics. The results were as follows.Preferred BrightBlue and RedPreferred PastelBlue and YellowTotalMales8550135Females6580145n USE SALTResearchers suggested that males would be more likely to prefer the brighter colors than females.(a) If p, represents the true proportion of males that prefer brighter colors in advertisements, and p, represents the true proportion of females that prefer brighter colors in advertisements, state the appropriate null and alternativehypotheses for this study.Ho: P1 ? vHa: P1 ? vP2P2(b) Calculate the test statistic. (Round your answer to two decimal places.)(c) Find the P-value for this data. (Use a table or SALT. Round your answer to four decimal places.)(d) Based on a = 0.01, what is the appropriate conclusion for the hypothesis test?Reject the null hypothesis.Fail to reject the null hypothesis.Accept the null hypothesis.Fail to accept the null hypothesis.

Marketing research has indicated that males and females may have different color preferences in visual advertising with males preferring brighter colors and females preferring softer tones. To test this theory, researchers surveyed females and males by asking them to rate two different visual advertisements for clothing items with the first ad primarily having bright red and blue lettering and graphics and the second primarily having pastel blue and yellow lettering and graphics. The results were as follows. Preferred Bright Blue and Red Preferred Pastel Blue and Yellow Total Males 85 50 135 Females 65 80 145 Researchers suggested that males would be more likely to prefer the brighter colors than females. (a) If p1 represents the true proportion of males that prefer brighter colors in advertisements, and p2 represents the true proportion of females that prefer brighter colors in advertisements, state the appropriate null and alternative hypotheses for this study. H0: p1 ? < = > ≠ p2 Ha: p1 ? < = > ≠ p2 (b) Calculate the test statistic. (Round your answer to two decimal places.) (c) Find the P-value for this data. (Use a table or SALT. Round your answer to four decimal places.) (d) Based on ? = 0.01, what is the appropriate conclusion for the hypothesis test? Reject the null hypothesis.Fail to reject the null hypothesis. Accept the null hypothesis.Fail to accept the null hypothesis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 27PPS

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Question

Marketing research has indicated that males and females may have different color preferences in visual advertising with males preferring brighter colors and females preferring softer tones. To test this theory, researchers surveyed females and males by asking them to rate two different visual advertisements for clothing items with the first ad primarily having bright red and blue lettering and graphics and the second primarily having pastel blue and yellow lettering and graphics. The results were as follows.

	Preferred Bright Blue and Red	Preferred Pastel Blue and Yellow	Total
Males	85	50	135
Females	65	80	145

Researchers suggested that males would be more likely to prefer the brighter colors than females.

(a)

If p₁ represents the true proportion of males that prefer brighter colors in advertisements, and p₂ represents the true proportion of females that prefer brighter colors in advertisements, state the appropriate null and alternative hypotheses for this study.

H₀: p₁

? < = > ≠

p₂

H_a: p₁

? < = > ≠

p₂

(b)

Calculate the test statistic. (Round your answer to two decimal places.)

(c)

Find the P-value for this data. (Use a table or SALT. Round your answer to four decimal places.)

(d)

Based on

? = 0.01,

what is the appropriate conclusion for the hypothesis test?

Reject the null hypothesis.Fail to reject the null hypothesis. Accept the null hypothesis.Fail to accept the null hypothesis.

Marketing research has indicated that males and females may have different color preferences in visual advertising with males preferring brighter colors and females preferring softer tones. To test this theory, researchers surveyed
females and males by asking them to rate two different visual advertisements for clothing items with the first ad primarily having bright red and blue lettering and graphics and the second primarily having pastel blue and yellow lettering
and graphics. The results were as follows.
Preferred Bright
Blue and Red
Preferred Pastel
Blue and Yellow
Total
Males
85
50
135
Females
65
80
145
n USE SALT
Researchers suggested that males would be more likely to prefer the brighter colors than females.
(a) If p, represents the true proportion of males that prefer brighter colors in advertisements, and p, represents the true proportion of females that prefer brighter colors in advertisements, state the appropriate null and alternative
hypotheses for this study.
Ho: P1 ? v
Ha: P1 ? v
P2
P2
(b) Calculate the test statistic. (Round your answer to two decimal places.)
(c) Find the P-value for this data. (Use a table or SALT. Round your answer to four decimal places.)
(d) Based on a = 0.01, what is the appropriate conclusion for the hypothesis test?
Reject the null hypothesis.
Fail to reject the null hypothesis.
Accept the null hypothesis.
Fail to accept the null hypothesis.

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