andrea0992

A poll of 1052 Americans showed that 47.4% of the respondents prefer to watch the news rather than read or listen to it. Use those results with a 0.10 significance level to test the claim that fewer than half of Americans prefer to watch the news rather than read or listen to it. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution.

Let p denote the population proportion of all Americans who prefer to watch the news rather than read or listen to it. Identify the null and alternative hypotheses.

: p ____   ____

: p ____   ____

(Type integers or decimals. Do not round.)

 

Identify the test statistic.

z = ____

(Round to two decimal places as needed.)

 

Identify the P-value.

P-value = ____

(Round to three decimal places as needed.)

 

State the conclusion about the null hypothesis, as well as State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.

____ the null hypothesis. There ____ sufficient evidence to ____ the claim that fewer than half of Americans prefer to watch the news rather  than read or listen to it.

 

During the summer months, the prices of nonsmoking rooms with a king-size bed in hotels in a certain area are roughly Normally distributed with a mean of $131.80 and a standard deviation of $29.12. 5. A travel agent randomly selects prices of nonsmoking rooms with a king-size bed from 15 hotels in the area. What is the probability that their average cost will be more than $150? A) 0.0077 B) 0.1125 C) 0.2660 D) 0.3678

Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of = 1.4 kg and a stand:

= 5.2 kg. Complete parts (a) through (c) below.

 

a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year.

The probability is ____

(Round to four decimal places as needed.)

 

b. If 4 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg.

The probability is ____

(Round to four decimal places as needed.)

 

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

◯ A. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size.

◯ B. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.

◯ C. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any 

◯ D. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.