**Hypothesis Testing and Significance Levels**Dan suspects that a certain potato chip manufacturer is placing fewer chips in their regular bags. To test his hypothesis, he randomly samples 11 bags of potato chips and calculates a P-value of 0.086.**Questions**(a) **At a 5% level of significance, is there evidence that Dan is correct?** (Type: Yes or No)(b) **At a 10% level of significance, is there evidence that he is correct?** (Type: Yes or No)(c) **In a statistical test of hypotheses, we say that the data are statistically significant at level α if:**- A. \( \alpha = 0.05 \)- B. \( \alpha \) is small- C. the \( P \)-value is larger than \( \alpha \)- D. the \( P \)-value is less than \( \alpha \)

Given info: It is given that from a random sample of 11 bags of potato chips he calculated P value…

Answered: (a) At a 5% level of significance, is…

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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1. OBSERVED Speeding Not speeding Ran red-light 62 84 Did not run red-light 31 23 Enter the test statistic (to 2 decimal places). enter the p-value (to 2 decimal places). At 5% significance level, pick the conclusion below. Group of answer choices Yes, there is sufficient evidence to suggest that running red lights and speeding are dependent. No, there is not sufficient evidence to suggest that speeding and running red-lights are dependent.
In general, if sample data are such that the null hypothesis is rejected at the ? = 1% level of significance based on a two-tailed test, is H0 also rejected at the ? = 1% level of significance for a corresponding one-tailed test? Explain your answer. Yes. If the two-tailed P-value is smaller than ?, the one-tailed area is also smaller than ?. No. If the two-tailed P-value is smaller than ?, the one-tailed area will be larger than ?. Yes. If the two-tailed P-value is smaller than ?, the one-tailed area will be larger than ?. No. If the two-tailed P-value is smaller than ?, the one-tailed area is also smaller than ?.
Test the claim that the mean GPA of night students is smaller than 2.5 at the 0.10 significance level. The null and alternative hypothesis would be: Но:р — 0.625 Но:р 0.625 Но:> 2.5 Но: д %3 2.5 Но: н 0.625 Н:р 2.5 The test is: right-tailed two-tailed left-tailed Based on a sample of 55 people, the sample mean GPA was 2.47 with a standard deviation of 0.03 The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
What is Z=??
part d dropdown: at least .55 or less than .55 did not provide or provided should or should not
Test the claim that the proportion of men who own cats is significantly different than 40% at the 0.02 significance level. The null and alternative hypothesis would be: Ho:µ 0.4 Ho:p 0.4 H1:µ > 0.4 Hị:p 0.4 H1:p+ 0.4 H1:µ + 0.4 H1:µ < 0.4 The test is: left-tailed two-tailed right-tailed Based on a sample of 200 people, 31% owned cats The test statistic is: (to 2 decimals) The positive critical value is: |(to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
Test the claim that the proportion of men who own cats is smaller than 10% at the 0.01 significance level. The null and alternative hypothesis would be: Ho:p 0.1 Ho:p = 0.1 Ho:µ > 0.1 H9:p = 0.1 H,:p 0.1 H1:p 0.1 The test is: left-tailed right-tailed two-tailed Based on a sample of 300 people, 6% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: OReject the null hypothesis OFail to reject the null hypothesis Submit Question
Test the claim that the mean GPA of night students is larger than 2.5 at the 0.01 significance level. The null and alternative hypothesis would be: Ho:µ > 2.5 Ho:µ = 2.5 H:µ 0.625 H:p=0.625 H:µ 2.5 H :p > 0.625 H:p< 0.625 H:p 0.625 The test is: right-tailed left-tailed two-tailed Based on a sample of 35 people, the sample mean GPA was 2.52 with a standard deviation of 0.08 The p-value is: (to 2 decimals). Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis Question Help: DVideo Message instructor メ N
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Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level. The null and alternative hypothesis would be: Ho: M = μF Ho: PM = PF H₁:µm > µF H₁:PM > pF Ho: PM = PF H₁:PM
Test the claim that the proportion of men who own cats is significantly different than 70% at the 0.1 significance level. The null and alternative hypothesis would be: Но: р 3 0.7 Но:д — 0.7 Но:д %3D 0.7 Но:р — 0.7 Но:р — 0.7 Но: д — 0.7 H:р +0.7 H:n # 0.7 Hi:р > 0.7 H:p > 0.7 H:р < 0.7 H:р < 0.7 The test is: two-tailed left-tailed right-tailed Based on a sample of 55 people, 75% owned cats The test statistic i: (to 2 decimals) The positive critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
Test the claim that the proportion of men who own cats is smaller than 90% at the 0.01 significance level. The null and alternative hypothesis would be: Ho: µ 0.9 Ho:p 0.9 Ho:µ = 0.9 Họ:p H1:µ > 0.9 H1:p 0.9 Hị: µ < 0.9 H1:µ + 0.9 H1:p# 0.9 0.9 The test is: two-tailed left-tailed right-tailed Based on a sample of 200 people, 87% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals)

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(a) At a 5% level of significance, is there evidence that Dan is correct? (Type: Yes or No): (b) At a 10% level of significance, is there evidence that he is correct? (Type: Yes or No): (C) In a statistical test of hypotheses, we say that the data are statistically significant at level a if