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Chapter 9: Q 37. (page 581)

Fair coin? You want to determine if a coin is fair. So you toss it 10times and record the proportion of tosses that land 鈥渉eads.鈥� You would like to perform a test of H0:p=0.5versus Ha:p鈮�0.5, where p= the proportion of all tosses of the

coin that would land 鈥渉eads.鈥� Check if the conditions for performing the significance test are met.

Short Answer

Expert verified

No, all the conditions are not satisfied.

Step by step solution

01

Given Information

It is given that n=10

p=0.50

The null and alternate hypothesis are:

H0:p=0.50

Ha:p鈮�0.50

pare the proportion of coins that land head.

02

Calculations

The conditions to fulfilled for significance test are:

  • n脳p鈮�10: role="math" localid="1654610961025" n脳p=10脳0.5=5<10
  • n脳(1-p)鈮�10: n脳(1-p)=10脳(1-0.5)=5<10

Both conditions are not fulfilled. Hence, significance test cannot be performed.

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Most popular questions from this chapter

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a. Construct and interpret a 95% confidence interval for the true hardness 渭 of the tablets in this batch. Assume that the conditions for inference are met.

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