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Chapter 9: Q.61 (page 540)

Assume the null hypothesis states that the mean is equal to 88. The alternative hypothesis states that the mean is not

equal to 88. Is this a left-tailed, right-tailed, or two-tailed test?

Short Answer

Expert verified

A two-tailed test is used for the null hypothesis states that the mean is equal to 88.

Step by step solution

01

Introduction

A two-tailed test is a statistical process that determines if a sample is greater or smaller than a certain range of values by using a two-sided critical area of a distribution. It's used in statistical significance testing and null hypothesis testing.

02

Explanation

A two-tailed test is required here as it is undecided whether the mean is higher or lower than 88. Also, the alternative hypothesis(Ha)has a not equal sign indicating that a two-tailed test should be performed here. A two-tailed test is required when the degree of uncertainty is unknown on the higher or lower side.

Also, we can sayH0:p=88Ha:p鈮�88

A diagram showing a two-tailed test.

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Most popular questions from this chapter

According to an article in Bloomberg Businessweek, New York City's most recent adult smoking rate is 14%. Suppose that a survey is conducted to determine this year鈥檚 rate. Nine out of 70 randomly chosen N.Y. City residents reply that they smoke. Conduct a hypothesis test to determine if the rate is still 14% or if it has decreased.

If you do not reject the null hypothesis, then it must be true. Is this statement correct? State why or why not in complete sentences.

The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5a percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100people in a certain town, seven of them suffered from depression or a depressive illness. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population, what would the null and alternative hypotheses be?

localid="1650439913140" a.H0__________

b.Ha __________

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

The US Department of Energy reported that 51.7% of homes were heated by natural gas. A random sample of 221 homes in Kentucky found that 115 were heated by natural gas. Does the evidence support the claim for Kentucky at the 伪 = 0.05 level in Kentucky? Are the results applicable across the country? Why?
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