Question

In: Statistics and Probability

For a hypothesis test of H0: p = 0.65 against the alternative Ha: p < 0.65,...

For a hypothesis test of H0: p = 0.65 against the alternative Ha: p < 0.65, the z test statistic is found to be -2.35. What can be said about his finding?

The finding is significant at both α = 0.05 and α = 0.01.

The finding is significant at α = 0.05 but not at α = 0.01.

The finding is significant at α = 0.01 but not at α = 0.05.

The finding is not significant at α = 0.05 and α = 0.01.

The finding is inconclusive because we don't know the value of p̂.

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Suppose we want to test the null hypothesis H0 : p = 0.28 against the alternative...
Suppose we want to test the null hypothesis H0 : p = 0.28 against the alternative hypothesis H1 : p ≠ 0.28. Suppose also that we observed 100 successes in a random sample of 400 subjects and the level of significance is 0.05. What are the critical values for this test? a. -1.96 and 1.96 b. 0.05 and 0.01 c. -1.39 and 1.39 d. -1.6449 and 1.6449
Consider the following hypothesis test: H0: p ≥ 0.75 Ha: p < 0.75 A sample of...
Consider the following hypothesis test: H0: p ≥ 0.75 Ha: p < 0.75 A sample of 300 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use α = .05. Round your answers to four decimal places. a. p = 0.67   p-value _____? b. p = 0.75 p-value _____? c. p = 0.7 p-value _____? d. p = 0.77 p-value _____?
Consider the following hypothesis test. H0: p = 0.30 Ha: p ≠ 0.30 A sample of...
Consider the following hypothesis test. H0: p = 0.30 Ha: p ≠ 0.30 A sample of 400 provided a sample proportion p = 0.275. (a) Compute the value of the test statistic. (Round your answer to two decimal places.) ______ (b) What is the p-value? (Round your answer to four decimal places.) p-value =_____ (c) At α = 0.05, what is your conclusion? Reject H0. There is insufficient evidence to conclude that p ≠ 0.30. Reject H0. There is sufficient...
Consider the following hypothesis test: H0: p ≥ 0.75 Ha: p < 0.75 A sample of...
Consider the following hypothesis test: H0: p ≥ 0.75 Ha: p < 0.75 A sample of 300 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use  = .05. Round your answers to four decimal places. b. = 0.74 p-value is c. = 0.78 p-value is
Consider the following hypothesis test: H0: p .8 Ha: p > .8 A sample of 500...
Consider the following hypothesis test: H0: p .8 Ha: p > .8 A sample of 500 provided a sample proportion of .853. 16. Determine the standard error of the proportion. 17. Compute the value of the test statistic. 18. Determine the p-value; and at a 5% level, test the above the hypotheses.
To test H0: p = 0.65 versus H1: p> 0.65, a simple random sample of n...
To test H0: p = 0.65 versus H1: p> 0.65, a simple random sample of n = 100 individuals is obtained and x = 69 successes are observed. (a) What does it mean to make a Type II error for this test? (b) If the researcher decides to test this hypothesis at the alpha = 0.01 level of significance, compute the probability of making a Type II error if the true population proportion is 0.70. What is the power of...
Use a t-test to test the null hypothesis H0: µX = µY against the two-sided alternative...
Use a t-test to test the null hypothesis H0: µX = µY against the two-sided alternative Ha: µX ≠ µY. Use R program (a) Generate 30 values from X ~ N (µX = 10, σX = 4) and 30 values from Y ~ N (µY = 10, σY = 4). . Use a t-test to test the hypotheses given above. (b) Include a comment in your code that identifies the p-value and clearly state the conclusion of the test in...
A researcher has boiled her hypothesis test down to the following information. H0: p=0.7, Ha: p<0.7,...
A researcher has boiled her hypothesis test down to the following information. H0: p=0.7, Ha: p<0.7, α=0.02 x=117, n=172 Find the p-value.
Your claim results in the following alternative hypothesis: Ha : p > 78% which you test...
Your claim results in the following alternative hypothesis: Ha : p > 78% which you test at a significance level of α=.002 . Find the critical value, to three decimal places. zα =
Your claim results in the following alternative hypothesis: Ha : p > 69% which you test...
Your claim results in the following alternative hypothesis: Ha : p > 69% which you test at a significance level of α=.01 . Find the critical value, to three decimal places. zα =
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT