An experimenter flips a coin 100 times and gets 54 heads. Test the claim that the coin is fair against the two-sided alternative.  (Null and Alternate Hypothesis and Test Statistic) A. Ho: p = 0.50; Ha: p < 0.50; z = 0.800 B. Ho: p = 0.50; Ha: p > 0.50; z = 0.800 C. Ho: p = 0.50; Ha: p > 0.50; z = 0.081 D. Ho: p = 0.50; Ha: p ≠ 0.50; z = 0.800 E. Ho: p = 0.50; Ha: p ≠ 0.50; z = 0.081    (p-value and conclusion) A. p = 0.540; FRHo (No sufficient evidence to reject the claim) B. p = 0.424; RHo (Sufficient evidence exists to reject the claim) C. p = 1.576; FRHo (No sufficient evidence to reject the claim) D. p = 0.424; FRHo (No sufficient evidence to reject the claim) E. p = 1.576; RHo (No sufficient evidence to reject the claim)

A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test to determine if the die is fair using 5% significant level. The data in the following table are the result of the 120 rolls. Face Value Frequency Expected Frequency 1 15   2 29   3 16   4 15   5 30   6 15   What are the null and alternate hypotheses?

Test the claim that the proportion of people who own cats is smaller than 70% at the 0.05 significance level. Based on a sample of 100 people, 69% owned catsThe test statistic is: ? (to 2 decimals)The p-value is: ?  (to 2 decimals)

Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 640 randomly selected adults showed that 99.3% of them would erase all of their personal information online if they could. Make a subjective estimate to decide whether the results are significantly low or significantly high, then state a conclusion about the original claim.

B. Identify the test statistic Z=___ C. Identify the​ P-value. P-value=___ D. What is the conclusion based on the hypothesis​ test? The​ P-value is (greater than/less than) the significance level of α=0.01​,so (reject/ fail to reject) the null hypothesis. There is (suffiecient/ insufficient) evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25.   Test the claim by constructing an appropriate confidence interval. The 90​% confidence interval is ___<( p1-p2)<___   E. Because the confidence interval limits (do not include/include) 0, it appears that the two proportions are (equal/not equal) Because the confidence interval limits include (only negative/ only positive/ negative and positive) values, it appears that the proportion of people over 55 who dream in black and white is (greater than/less than/ not significantly different from) the proportion for those under 25.   F. An explanation…

use a hypothesis test to determine if the proportions are statistically different. A recent survey showed that in a sample of 100 elementary school teachers, 15 were single. In a sample of 180high school teachers, 36 were single. Is the proportion of high school teachers who were single greater than theproportion of elementary teachers who were single? Use ΅ = 0.01.

The​ ___________ is a value used in making a decision about the null hypothesis and is found by converting the sample statistic to a score with the assumption that the null hypothesis is true.

Determine the null and alternative hypotheses. Choose the correct choice below.     A. H0​: The expected frequencies are all equal to 5. Ha​: At least one expected frequency differs from 5.   B. H0​: The distribution of the variable is the same as the given distribution. Ha​: The distribution of the variable differs from the given distribution.   C. H0​: The distribution of the variable differs from the normal distribution. Ha​: The distribution of the variable is the normal distribution.   D. H0​: The distribution of the variable differs from the given distribution. Ha​: The distribution of the variable is the same as the given distribution.   Compute the value of the test​ statistic, χ2.   χ2= ​(Round to three decimal places as​ needed.)   Find the​ P-value.   P= ​(Round to three decimal places as​ needed.) Does the data provide sufficient evidence that the distribution of the variable differs from the given​ distribution?       A. No​,…

A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 258 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related? Vaccination Status Diseased Not Diseased Total Vaccinated 55 62 117 Not Vaccinated 70 71 141 Total 125 133 258 Copy Data Step 1 of 8: State the null and alternative hypothesis.

What are the correct answers?