A hypothesis test is done in which the alternative hypothesis is that more than 10% of the population is left-handed.The p-value for the test is calculated to be 0.18Assume an 85% confidence level, Which statement is correct?

If a school administrator claims that less than 50% of the students are dissatisfied with the food served in the school canteen. The claim used a sample data obtained from a survey of 500 students of the school wherein 54% indicated their dissatisfaction with the food served in the school canteen. Which of the following is the appropriate alternative hypothesis?p= 0.50p < 0.50p > 0.50p ≠ 0.50

The p-value of a one-sided hypothesis test is 0.056. At the 10% significance level, what can we conclude if it was a two-sided hypothesis test instead?

Suppose that a major polling organization wanted to test the hypothesis that there was a change in the president’s “approval rating” since last month. Last month, 35% of the representative sample of registered voters approved of the president. For this month, the null hypothesis was that the approval rating equals 35% and the alternative hypothesis is that the approval rating does not equal 35%. The significance level for this test was 0.05.The results of the hypothesis test of the new survey showed a p-value of 0.008.Which of the following statements is correct? Check all that apply. The results were statistically significant. The results were not statistically significant. The null hypothesis should be rejected. The null hypothesis should be accepted. The null hypothesis cannot be rejected.

In testing the hypothesesH0: μ = 75.HA: μ < 75,the p-value is found to be 0.042, and the sample mean is 80. Which of the following statements is true?Group of answer choicesNone of the above statements is correct.The probability of observing a sample mean at most as large as 75 from a population whose mean is 100 is 0.042.The probability that the population mean is smaller than 75 is 0.042.The smallest value of α that would lead to the rejection of the null hypothesis is 0.042.

According to previous studies, 16% of the U.S. population is left-handed. Not knowing this, a high school student claims that the percentage of left-handed people in the U.S. is 15%.The student is going to take a random sample of 2100 people in the U.S. to try to gather evidence to support the claim. Let p be the proportion of left-handed people in the sample.Answer the following. (If necessary, consult a list of formulas.)(a)Find the mean of p.(b)Find the standard deviation of p.(c)Compute an approximation for P≥p0.15, which is the probability that there will be 15% or more left-handed people in the sample. Round your answer to four decimal places.