In 1945, an organization asked 1446 randomly sampled American citizens. "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" with 773 responding yes. Did a majority of the citizens feel the country coulddevelop a way to protect itself from atomic bombs in 1945? Use the a 0.05 level of significance.What are the null and alternative hypotheses?Ho ▾▾ versus H,(Type integers or decimals)Determine the test statistic, 20Zo (Round to two decimal places as needed.)Use technology to determine the P-value for the test statistic.The P-value is(Round to three decimal places as needed)What is the correct conclusion at the a 0.05 level of significance?Since the P-value isthan the level of significance.the null hypothesis. There(sufficient evidence to conclude that the majority of the citizens feel the country could develop a way to protect itself from atomic bombs

The randomly sampled American Citizens, The number of citizens responded to yes, The significance…

Answered: In 1945, an organization asked 1446…

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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Your teacher claims to produce random numbers from 1 to 5 (inclusive) on her calculator, but you’ve been keeping track. In the past 80 rolls, the number “five” has come up only 8 times. You suspect that the calculator is producing fewer fives than it should. Let p = actual long-run proportion of five’s produced by the calculator. The hypotheses for testing the teacher’s claim are:
According to the Washington Post, 45% of all Americans are born with brown eyes. Consider a random sample of 80 adults from New York city. We found 32 with brown eyes.(a) Is there suffcient evidence at the 0.01 level of signicance to indicate that the proportion of brown- eyed adults in New York differs from the proportion of Americans who are born with brown eyes? (b) Is there suffcient evidence at the 0.05 level of signicance to indicate that the proportion of brown-eyed adults in New York is less than the proportion of Americans who are born with brown eyes?
Suppose you conduct a hypothesis test based on a sample where the sample size is n = 50, and arrive at a p-value of 0.08. You then refer back to your notes and discover that you made a careless mistake, the sample size should have been n = 500. Will your p-value increase, decrease, or stay the same? stay the same increase decrease Answer not here
a) Carefully define the null and alternative hypotheses of the ?2 test of the above table. b) Find the missing values ‘*’, ‘**’, ‘***’ ??, ??? c) What is the conclusion of this test? Give reasons for your answer.
A police department released the numbers of calls for the different days of the week during the month of October, as shown in the table to the right. Use a 0.01 significance level to test the claim that the different days of the week have the same frequencies of police calls. What is the fundamental error with this analysis? Day Sun Mon Tues Wed Thurs Fri Sat Frequency 156 210 220 248 174 214 232 Determine the null and alternative hypotheses. Ho: H1: Calculate the test statistic, x. x2 = (Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? O A. Fail to reject H,. There is sufficient evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls. O B. Reject H,- There is insufficient evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls. O C. Fail to…
a) In a chi-square test, the “expected” counts are the values we expect if there is an association between the variables. True False b) A small chi-square test statistic is consistent with the null hypothesis. True False
36% of canadians are single and 20 % are corona infected whereas 12 % are single and corona infected. Given that a selected individual is married, the probabilty that he/ she is corona infected 0.750 0.125 0.250 0.875
Forbes reports that women in general trust recommendations from Pinterest more than recommendations from any other social network platform. But does trust in Pinterest differ by gender? The following sample data show the number of women and men who state in a recent survey that they trust recommendations made on Pinterest. Sample Trust recommendations made on Pinterest Women 150 117 Men 170 102 We want to determine whether trust in Pinterest differ by gender. Formulate the null and the alternative hypotheses. Use 1 to represent women and 2 to represent men. H0: Ha: Null: p1 – p2 ≥ 0; Alternative: p1 – p2 < 0 Null: p1 – p2 = 0 ; Alternative: p1 – p2 ≠ 0 Null: p1 – p2 ≤ 0; Alternative: p1 – p2 > 0 B. What the test statistics? You probably need to find the pooled proportion first. Pooled proportion is ___________. 0.6 0.78 0.6844 C. Test statistic is ________. 3.46 1.28 66.41 4.36
In a one-tail hypothesis test where you reject Ho only in the upper tail, what is the p-value if ZSTAT = +2.40? Click here to view page 1 of the Normal table. Click here to view page 2 of the Normal table. The p-value is (Round to four decimal places as needed.)
To determine if there is an association between gender and reading habits, 270 adults are randomly sampled from across the United States and asked the following question: “How often do you read a book outside of work or school: regularly, sometimes, or never?” The results are summarized in the following table: OBSERVED READING HABITS Regularly Sometimes Never Total Male 42 72 10 124 Female 72 74 7 146 Total 107 146 17 270 a)What are the appropriate hypotheses for this chi-square test? b)What are the appropriate degrees of freedom for this test?
a) Carefully define the null and alternative hypotheses of the ?2 test underlying the generation of the table below . b) Find the missing values ‘*’, ‘**’, ‘***’, ‘??’ and ‘???’. c) What is the conclusion of this test? Give reasons for your answer.

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