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Chapter 9: Q.57 (page 540)

You flip a coin and record whether it shows heads or tails. You know the probability of getting heads is 50%, but you

think it is less for this particular coin. What type of test would you use?

Short Answer

Expert verified

A left-tailed test is used in this scenario.

Step by step solution

01

Introduction

The rejection zone in left-tailed test is at the extreme left of the distribution. The null hypothesis in this case is that the claimed value is less than or equal to the population mean value.

02

Explanation

As the alternative hypothesis asserts that the likelihood of getting a heads is less than 0.5, a left-tailed test is required. For better understanding, the null and alternative hypotheses should always be written.

A diagram depicting a left-tailed test.

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Most popular questions from this chapter

A group of doctors is deciding whether or not to perform an operation. Suppose the null hypothesis, H0, is: the surgical procedure will go well. Which is the error with the greater consequence?

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A random survey of 75 death row inmates revealed that the mean length of time on death row is 17.4 years with a standard deviation of 6.3 years. Conduct a hypothesis test to determine if the population mean time on death row could likely be 15 years.

a. Is this a test of one mean or proportion?

b. State the null and alternative hypotheses. H0: ____________________ Ha : ____________________

c. Is this a right-tailed, left-tailed, or two-tailed test?

d. What symbol represents the random variable for this test?

e. In words, define the random variable for this test.

f. Is the population standard deviation known and, if so, what is it?

g. Calculate the following:

i. x 炉 = _____________

ii. s = ____________

iii. n = ____________

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k. At a pre-conceived 伪 = 0.05, what is your:

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iii. Conclusion (write out in a complete sentence):

Assume H0:渭=9 and Ha:渭<9. Is this a left-tailed, right-tailed, or two-tailed test?
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