Claim: Fewer than 91% of adults have a cell phone. In a reputable poll of 1079...

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Claim: Fewer than 91% of adults have a cell phone. In a reputable poll of 1079...

Claim: Fewer than 91% of adults have a cell phone. In a reputable poll of 1079 adults, 83% said that they have a cell phone. Find the value of the test statistic.

math Statistics-And-Probability

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Answer 1

Answer #1

Solution :

The null and alternative hypothesis is

H₀ : p = 0.91

H_a : p < 0.91

n = 1079

= 0.83

P₀ = 0.91

1 - P₀ = 1 - 0.91 = 0.09

Test statistic = z =

= - P₀ / [P_0
* (1 - P₀ ) / n]

= 0.83 - 0.91 / [(0.91 * 0.09) / 1079 ]

Test statistic = z = -9.18

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Answer 2

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Claim: Fewer than 97% of adults have a cell phone. In a reputable poll of 1235...

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​Claim: Fewer than 91​% of adults have a cell phone. In a reputable poll of 1079...

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