STAT 101 Chapter Notes - Chapter 15: Null Hypothesis, Test Statistic, Confidence Interval

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sapphirelouse415

21 Nov 2013

School

Simon Fraser University

Department

Statistics

Course

STAT 101

Professor

Qian( Michelle) Zhou

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Document Summary

Stating hypothesis null hypothesis (h0) the claim tested by a statistical test; designed to assess strength of evidence against null hypothesis. N) ~ n(0,1) if h0 is ture the null hypothesis h0 were true. Test for a population mean data that would rarely occur if the null hypothesis h0 were true provide evidence that h0 is not true. P-value gives us the probability that it would rarely occur. Example 1) a bag of chips says that theres 200 chips in the bag. We examined 5 bags of chips, w/ standard deviation of 15. 65. H0: = 200 ha: < 200. = 181 200/ 15. 65/sqrt5 = -2. 71 --> table a --> p value = 0. 0034. Since pvalue < a , we can reject h0, that 200 is the average amount of chips in the bag. If we want to find ha > it"ll be a different calculation. Assume values are same for all values from above but ha > .

Related Questions

A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.01 significance level: H0: μ ≤ 10 H1: μ > 10

a. Is this a one- or two-tailed test?

b. What is the decision rule, Reject H0 when Z > 2.33 or when Z <= 2.33 ?

c. What is the value of the test statistic? (Round the final answer to 1 decimal place.)

d. What is your decision regarding H0? (Reject or Accept) ?

e. What is the p-value, one, zero, or close to zero ?

amberwalrus562

(a) In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

A. Obtaining data with a small P-value.

B. Obtaining data with a large P-value.

C. Using a small level of line significance.

D. Using a a large level of significance.

(b) The P-value of a test of a null hypothesis is

A. The probability of the null hypothesis is true.

B. The probability, assuming the null hypothesis is false, that the test statistic will take a value at least as extreme as that actually observed.

C. The probability, assuming the null hypothesis is true, that the test statistic will take a value at least as extreme as that actually observed.

D. The probability of the null hypothesis is false.

A. 0.05

B. the probability of observing the data you actually obtained

C. a statement of ''no effect'' or '' no difference''.

D. a statement that the data are 0.

viridianweasel783

(1 point) A random sample of 130 observations is selected from a binomial population with unknown probability of success p. The computer value of is 0.64.

(1) Test : : p = 0.65 against : p > 0.65. Use α= 0.05.

test statistic z =

critical z score

The final conclusion is

⭕ A. We can reject the null hypothesis that p = 0.65 and accept that p is > 0.65.

⭕ B. There is not sufficient evidence to reject the null hypothesis that p = 0.65.

(2) Test : p = 0.5 against :p < 0.65. Use α = 0.01.

test statistic z =

critical z score

The final conclusion is

⭕ A. We can reject the null hypothesis that p = 0.5 and accept that p is < 0.5.

⭕ B. There is not sufficient evidence to reject the null hypothesis that p = 0.5.

(3) Test : p = 0.55 against : p ≠ 0.55. Use α = 0.01.

test statistic z =

positive critical z score

oliver202166

STAT 101 Chapter Notes - Chapter 15: Null Hypothesis, Test Statistic, Confidence Interval

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