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Chapter 9: Q.58 (page 540)

If the alternative hypothesis has a not equals ( ≠ ) symbol, you know to use which type of test?

Short Answer

Expert verified

If a alternative view doesn't quite involve the symbol equals (≠), a two-tailed test is employed if the alternative hypothesis bears the notation (≠).

Step by step solution

01

Introduction

The sample and population means are compared in a two-tailed test to see if the difference between them is statistically significant. Despite the fact that both the population and the sample are supposed to be normally distributed, their means differ.

02

Explanation

With a two-tailed test, we're looking for an area in the middle of the distribution. Your rejection zone, on the other hand, is on both ends of the tails (where the null hypothesis is rejected).

A two-tailed test is required when the degree of uncertainty cannot be identified on the higher or lower side.

If the alternative hypothesis has a not equals symbol, we do a two-tailed test.

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Most popular questions from this chapter

It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per night, on average. A survey of 22 LTCC Intermediate Algebra students generated a mean of 7.24 hours with a standard deviation of 1.93 hours. At a level of significance of 5%, do LTCC Intermediate Algebra students get less than

seven hours of sleep per night, on average?

The TypeIIerror is not to reject that the mean number of hours of sleep LTCC students get per night is at least seven when,

in fact, the mean number of hours

a. is more than seven hours.

b. is at most seven hours.

c. is at least seven hours.

d. is less than seven hours.

We want to test whether the mean height of eighth graders is 66inches. State the null and alternative hypotheses. Fill in the correct symbol (=,≠,≥,<,≤,>)for the null and alternative hypotheses.

a.H0:μ-66

b.Ha:μ-66

A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening night midnight showing of the latest Harry Potter movie. She surveys 84of her students and finds that11of them attended the midnight showing.

At a1% level of significance, an appropriate conclusion is:

a. There is insufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is less than20%.

b. There is sufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is more than 20%.

c. There is sufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is less than20%.

d. There is insufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is at least 20%

The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is at least 11.52 inches. Ten cities in the northeast are randomly selected and the mean rainfall amount is calculated to be 7.42 inches with a standard deviation of 1.3 inches. At the α=0.05 level, can it be concluded that the mean rainfall was below the reported average? What if α=0.01? Assume the amount of summer rainfall follows a normal distribution.

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’s 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.
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