A marketing manager for a cell phone company claims that more than 35% of children age 10have cell phones. In a random sample of 5000 it is found that 1805 had cell phones. Can youconclude that the manager's claim is true? Use a significance level a 0.01. Use this scenario toanswer questions 16-20.16) State the alternative and null hypothesis17) Calculate the test statistic

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Asked Dec 1, 2019
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Need answer to question 17. 

A marketing manager for a cell phone company claims that more than 35% of children age 10
have cell phones. In a random sample of 5000 it is found that 1805 had cell phones. Can you
conclude that the manager's claim is true? Use a significance level a 0.01. Use this scenario to
answer questions 16-20.
16) State the alternative and null hypothesis
17) Calculate the test statistic
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A marketing manager for a cell phone company claims that more than 35% of children age 10 have cell phones. In a random sample of 5000 it is found that 1805 had cell phones. Can you conclude that the manager's claim is true? Use a significance level a 0.01. Use this scenario to answer questions 16-20. 16) State the alternative and null hypothesis 17) Calculate the test statistic

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Expert Answer

Step 1

Given information,

Level of significance =0.01.

In a sample of 5000 it is found that 1805 had cell phones, then sample proportion is,

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х 1805 P = 5000 P 0.361

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Step 2

(16)

And also given, a marketing manager for a cell phone company claims that more than 35% of children age 10 have cell phones.

Now,

Null and alternative hypothesis:

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Ho P0.35 (company claims that more than 35%) H P0.35 company claims that less than or equal to 35%)

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Step 3

(17)

Now, test statistic for sample proportion.

...
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P-P Z = P(1-P 0.361-0.35 Z=- 0.35(1-0.35) 5000 0.011 Z = 0.0067453688 Z 1.6307484922 Z 1.63

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Hypothesis Testing

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