The decision can be made to:- ⃝ **reject** \(H_0\)- ⃝ **do not reject** \(H_0\)The final conclusion is that:- ⃝ There is enough evidence to reject the claim that the proportion of females who do not have children is less than the proportion of males who do not have children.- ⃝ There is not enough evidence to reject the claim that the proportion of females who do not have children is less than the proportion of males who do not have children.- ⃝ There is enough evidence to support the claim that the proportion of females who do not have children is less than the proportion of males who do not have children.- ⃝ There is not enough evidence to support the claim that the proportion of females who do not have children is less than the proportion of males who do not have children. **Hypothesis Testing Exercise: Proportions of Childless Workers**A student wishes to see if at her workplace the proportion of females who do not have children is less than the proportion of males who do not have children. To test her claim, she randomly selects 358 females, of which 60 did not have children. She then randomly selects 322 male workers, and out of them, 59 did not have children. Test her claim at \(\alpha = 0.05\) to see if she was right. The correct hypotheses are:- \(H_0 : p_F \ge p_M\)- \(H_A : p_F < p_M\) (claim)Since the level of significance is 0.10, the critical value is \(-1.282\).1. **The test statistic is:** \(\_\_\_\_\_\_\_\_\_) (round to 3 places)2. **The p-value is:** \(\_\_\_\_\_\_\_\_\_) (round to 3 places)The decision can be made to:- \(\bigcirc\) reject \(H_0\)- \(\bigcirc\) do not reject \(H_0\)**Note:** This exercise involves computing the test statistic and p-value based on the given data. Use appropriate statistical formulas and methods to solve.

Given data : x1= 60.0 n1= 358 x2= 59.0 n2= 322 significance level,…

Answered: A student wishes to see if at her work…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A humane society claims that less than 73% of households in a certain country own a pet. In a random sample of 800 households in that country, 568 say they own a pet. At a = 0.01, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state Ho and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) %. O A. The percentage households in the country that own a pet is not O B. % of households in the country own a pet. C. Less than 73 % of households in the country own a pet. O D. More than % of households in the country own a pet. Let p be the population proportion of successes, where a success is a household in the country that owns a pet. State Ho and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O C. Ho: p Ha:p2 Haip=…
A sample of 50 cans of tomatoes are tested for levels of the chemical BPA to see if there is evidence that the mean level is greater than 100 ppb (parts per billion).a). Write down the hypotheses for this test. b). Give a possible sample mean that you think would be statistically significant.c). Give a possible sample mean that would definitely not be statistically significant.
If P( A) = .40, P( B) = .30, and P AOB) = .15, then P( AI B) is .375 .12 .50 .045
8
Suppose that in a large class, the instructor announces that the average grade on an exam is 75. Which is more likely to be closer to 75: a.) The exam grade of a randomly selected student in the class? b.) The mean exam grade of a sample of 10 sttudents? Explain.
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5.
Albert thinks that he has a special relationship with the number 6. In particular, Albert thinks that he would roll a 6 with a fair 6-sided die more often than you'd expect by chance alone. Suppose pp is the true proportion of the time Albert will roll a 6. (a) State the null and alternative hypotheses for testing Albert's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "<", ">", "=", "not =" and express any values as a fraction e.g. p = 1/3)H0H0 = HaHa = (b) Now suppose Albert makes n = 34 rolls, and a 6 comes up 7 times out of the 34 rolls. Determine the P-value of the test:P-value = (c) Answer the question: Does this sample provide evidence at the 5 percent level that Albert rolls a 6 more often than you'd expect?
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