Mathematics, 13.10.2020 03:01 cuppykittyy

A machining process produces screws for which the population proportion of screws with defective threads is .10(10%). A new laser-enhanced process has become available and the developer claims that the population proportion of screws with defective threads will be less than .10. To test the validity of this claim, 900 screws produced by the new process are selected at random and the sample proportion of defectives is computed. This result will be used to make a decision as to whether or not the manufacturer should invest in the new process. Required:
a. What should be used as the alternative hypothesis?
b. Determine the p-value of the test statistic if p ^ = 0.076.

Answers: 1

Show answers

Answers

Answer from: adriandehoyos1p3hpwc

Complete Question

A machining process produces screws for which the population proportion of screws with defective threads is .10 (10%). A new laser-enhanced process has become available and the developer claims that the population proportion of screws with defective threads will be less than .10. To test the validity of this claim, 900 screws produced by the new process are selected at random and the sample proportion of defectives is computed. This result will be used to make a decision as to whether or not the manufacturer should invest in the new process.

7) Which of the following should be used as the alternative hypothesis?

A) p = 0.10 B) $p \ne 0. 10$ C) $p \le 0.10$ D) p > 0.10 E) p < 0.10

8) Determine the p-value of the test statistic if $\r p= 0.076$ (Round your answer to 4 decimal places.)

A) .9836 B) .0082 C) -.0082 D) .0164 E) .9918

The correct option is E

The correct option is B

Step-by-step explanation:

From the question we are told that

The population proportion is p = 0.10

The claim : the population proportion of screws with defective threads will be less than p = 0.10

The sample size is n = 900 screws

The null hypothesis is

H_o : p = 0.10

The alternative hypothesis is

H_a : p < 0.10

Generally the reason why the above statement is the alternative hypothesis is because the statement for the null hypothesis must have an equality sign present, hence the alternative hypothesis then represents the claim

Generally the test statistics is mathematically represented as

$t = \frac{\r p - p }{ \sqrt{ \frac{p ( 1- p )}{n} } }$

=> $t = \frac{0.076 - 0.10 }{ \sqrt{ \frac{0.10 ( 1- 0.10 )}{900} } }$

=> t = -2.4

Generally the p-value is mathematically represented as

p-value = P(t < -2.4)

From the z-table

P(t < -2.4) = 0.0082

Answer from: Quest

If you need an equation, it would be y=2x+8, y would be how long it grew, x being weeks.if you need how long he was asleep, it would be 4 weeks if he started with no beard, the equation would be x=8÷2if he did have a beard before hand, the equation would be 2w+x=8

Answer from: Quest

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 13:00, jay0630

The graph shows the prices of different numbers of bushels of corn at a store in the current year. the table shows the prices of different numbers of bushels of corn at the same store in the previous year. previous year number of bushels price of corn (dollars) 2 10 4 20 6 30 8 40 part a: describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. part b: how many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? show your work.

Answers: 1

continue

Mathematics, 21.06.2019 15:40, chaparro0512

If the slope of one line equals the slope of another line then ? a) the two lines are intersecting lines b) the two lines are perpendicular lines c) the two lines are parallel lines d) the two lines always have very steep slopes

Answers: 3

continue

Mathematics, 21.06.2019 17:30, Jerry4891

Two customers went to a post office. first customer paid $12 for 14 and 5 envelopes the second paid 24.80 for 10 postcards and 15 envelopes. what is cost of each envelope?

Answers: 1

continue

Mathematics, 21.06.2019 20:10, paigeleahfarbeoy2ork

Which ratios are equivalent to 10: 16? check all that apply. 30 to 48 25: 35 8: 32 5 to 15

Answers: 1

continue

You know the right answer?

A machining process produces screws for which the population proportion of screws with defective thr...