Question

In: Statistics and Probability

About 63% of the residents in a town are in favor of building a new high...

About 63% of the residents in a town are in favor of building a new high school. 105 residents

                 are randomly selected. What is the probability that the sample proportion in favor of building a

                 new school is less than 55%?

Solutions

Expert Solution

Solution

Given that,

p = 63%=0.63

1 - p = 1-0.63=0.37

n = 105

= p =0.63

=  [p ( 1 - p ) / n] =   [(0.63*0.37) / 105 ] = 0.047

P( < 0.55) =

= P[( - ) / < (0.55-0.43) /0.047 ]

= P(z <2.55 )

Using z table,   

=0.9946

probability=0.9946

orchestra answered 2 years ago
Next > < Previous

Related Solutions

The mayor of a town believes that 78% of the residents favor annexation of a new...
The mayor of a town believes that 78% of the residents favor annexation of a new bridge. Is there sufficient evidence at the 0.02 level to dispute the mayor's claim?
A town council wants to estimate the proportion of residents who are in favor of a...
A town council wants to estimate the proportion of residents who are in favor of a proposal to upgrade the computers in the town library. A random sample of 100 residents was selected, and 97 of those selected indicated that they were in favor of the proposal. Is it appropriate to assume that the sampling distribution of the sample proportion is approximately normal?
1. The mayor of a town believes that 78% of the residents favor annexation of an...
1. The mayor of a town believes that 78% of the residents favor annexation of an adjoining community. Is there sufficient evidence at the 0.01 level to dispute the mayor's claim? State the null and alternative hypotheses for the above scenario 2.The mayor of a town believes that more than 72% of the residents favor construction of an adjoining community. Is there sufficient evidence at the 0.05 level to support the mayor's claim? 3. A newsletter publisher believes that over...
The residents of the town Ectenia all love econom- ics, and the mayor proposes building an...
The residents of the town Ectenia all love econom- ics, and the mayor proposes building an economics museum. The museum has a fixed cost of $2,400,000 and no variable costs. There are 100,000 town residents, and each has the same demand for museum visits: QD = 10 − P, where P is the price of admission. a) Graph the museum’s average-total-cost curve and its marginal-cost curve. What kind of market would describe the museum b) Themayorproposesfinancingthemuseumwith a lump-sum tax of...
. A small town has 5600 residents. The residents in the town were asked whether or...
. A small town has 5600 residents. The residents in the town were asked whether or not they favored building a new bridge across the river. You are given the following information on the residents' responses, broken down by gender: Men Women Total In Favor 1400 280 1680 Opposed 840 3080 3920 Total 2240 3360 5600 A) What is the probability of a randomly selected resident being In a Woman? B) What is the probability that a randomly selected resident...
1. A small town has 5600 residents. The residents in the town were asked whether or...
1. A small town has 5600 residents. The residents in the town were asked whether or not they favored building a new bridge across the river. You are given the following information on the residents' responses, broken down by gender:                                         Men          Women          Total           In Favor                  1400            280               1680           Opposed                  840           3080               3920                 Total                2240           3360               5600 A) What is the probability of a randomly selected resident being a Woman? B) What is the probability that a randomly selected...
1. A small town has 5600 residents. The residents in the town were asked whether or...
1. A small town has 5600 residents. The residents in the town were asked whether or not they favored building a new bridge across the river. You are given the following information on the residents' responses, broken down by gender: Men Women Total In Favor 1400 280 1680 Opposed 840 3080 3920 Total 2240 3360 5600 A) What is the probability of a randomly selected resident being a Man? B) What is the probability that a randomly selected resident is...
1. A poll is given, showing 20% are in favor of a new building project. If...
1. A poll is given, showing 20% are in favor of a new building project. If 10 people are chosen at random, what is the probability that exactly 4 of them favor the new building project? 2. According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select six peanut M&M’s from an extra-large bag of the candies....
A poll is given, showing 75% are in favor of a new building project. If 138...
A poll is given, showing 75% are in favor of a new building project. If 138 people are chosen at random, answer the following. What is the probability that exactly 103 of them are in favor of a new building project? What is the probability that less than 103 of them are in favor of a new building project? What is the probability that more than 103 of them are in favor of a new building project? What is the...
Residents from the Town of Mountain View authorized a $7,400,000 renovation to their historic town hall...
Residents from the Town of Mountain View authorized a $7,400,000 renovation to their historic town hall on November 15, 2016. Financing for the project consists of $2,800,000 from a 5 percent serial bond issue, $2,400,000 from a state grant, and $2,200,000 from the General Fund. Debt service for the serial bonds will be provided by a one-quarter-cent city sales tax imposed on every dollar of sales in the city. The town has a calendar year-end. Prepare journal entries to record...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT