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Chapter 9: Q. 9.4 (page 508)

On a state driver's test, about 40%pass the test on the first try. We want to test if more than 40%pass on the first try. Fill in the correct symbol (=,≠,≥,<,≤,>)for the null and alternative hypotheses.

a.H0:p-0.40

b.Ha:p-0.40

Short Answer

Expert verified

a. Null hypotheses is less than or equal to0.40.

b. Alternative hypotheses is greater than0.40.

Step by step solution

01

Introduction

According to the null hypothesis, there is no difference between a proportion and the population's proportion.

The opposition of null hypotheses is stated by the alternative hypothesis

02

Explanation  (part a)  

On the first try not more than 40%is known as null hypotheses.

It is denoted by H0.

So,

H0:p≤0.40

03

Explanation (part b)

On the first try more than 40%is known as alternative hypotheses.

It is denoted by Ha.

So,

Ha:p>0.40

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Most popular questions from this chapter

"Asian Family Reunion," by Chau Nguyen every two years it comes around. We all get together from different towns. In my honest opinion, It's not a typical family reunion. Not forty, or fifty, or sixty, But how about seventy companions! The kids would play, scream, and shout One minute they're happy, another they'll pout. The teenagers would look, stare, and compare from how they look to what they wear. The men would chat about

their business . That they make more, but never less. Money is always their subject and there's always talk of more new projects. The women get tired from all of the chats. They head to the kitchen to set out the mats. Some would sit and some would stand eating and talking with plates in their hands. Then come the games and the songs and suddenly, everyone gets along! With all that laughter, it's sad to say that it always ends in

the same old way. They hug and kiss and say "good-bye" and then they all begin to cry! I say that 60 percent shed their tears but my mom counted 35 people this year. She said

that boys and men will always have their pride, so we won't ever see them cry. I myself don't think she's correct, so could you please try this problem to see if you object?

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 84 of her students and finds that 11 of them attended the midnight showing. At a 1% 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 than 20%.

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 than 20%.

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%.

H0:μ≤1,Ha:μ>1

Assume the p-value is 0.1243. What type of test is this? Draw the picture of the p-value.

Previously, an organization reported that teenagers spent 4.5hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75hours with a sample standard deviation of 2.0. Conduct a hypothesis test, the Type I error is:

a. to conclude that the current mean hours per week is higher than 4.5, when in fact, it is higher

b. to conclude that the current mean hours per week is higher than 4.5, when in fact, it is the same

c. to conclude that the mean hours per week currently is 4.5, when in fact, it is higher

d. to conclude that the mean hours per week currently is no higher than 4.5, when in fact, it is not higher

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.
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