The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 1000 voters in the town and found that 39% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 35%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? -State the null and alternative hypotheses?

A hypothesis test is conducted to determine whether the percentage of US adults that think marijuana should be illegal is less than 40%.  A random sample of 400 US adults includes 144 that think marijuana should be illegal.   The value of the test statistic is -1.63 Find the P-value of the hypothesis test

A study considered the question, "Are you a registered voter?" Accuracy of response was confirmed by a check of city voting records. Two methods of survey were used: a face-to-face interview and a telephone interview. A random sample of 92 people were asked the voter registration question face to face. Of those sampled, seventy-nine respondents gave accurate answers (as verified by city records). Another random sample of 82 people were asked the same question during a telephone interview. Of those sampled, seventy-five respondents gave accurate answers. Assume the samples are representative of the general population.

Last year, 46% of business owners gave a holiday gift to their employees. A survey of business owners indicated that 40% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. Suppose the business owners in the sample do as they plan. Compute the p value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year. If required, round your answer to four decimal places. If your answer is zero, enter “0”. Do not round your intermediate calculations.

A direct mail appeal for contributions from a university’s alumni and supporters is considered to be too costly if less than 15% of the alumni and supporters provide monetary contributions. To determine if a direct mail appeal is cost effective, the fundraising director sends the direct mail brochures to a simple random sample of 173 people on the alumni and supporters mailing lists. They receive monetary contributions from 18 people. Does this evidence demonstrate that the direct mail campaign is not cost effective? Use a 0.02 level of significance.   Step 3 of 3 : Draw a conclusion and interpret the decision.   1. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance that the direct mail campaign is not cost effective. 2.  We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance that the direct mail campaign is not cost effective.   3. We reject the null…

A university has decided to introduce the use of plus and minus grading as long as there is evidence that 60% of the faculty is in support of this change. Write an appropriate null hypothesis and alternate hypothesis to test if the proportion is greater than 60%.

A study considered the question, "Are you a registered voter?" Accuracy of response was confirmed by a check of city voting records. Two methods of survey were used: a face-to-face interview and a telephone interview. A random sample of 89 people were asked the voter registration question face to face. Of those sampled, seventy-five respondents gave accurate answers (as verified by city records). Another random sample of 88 people were asked the same question during a telephone interview. Of those sampled, seventy-two respondents gave accurate answers. Assume the samples are representative of the general population.   (a) Categorize the problem below according to parameter being estimated, proportion p, mean ?, difference of means ?1 – ?2, or difference of proportions p1 – p2. Then solve the problem. p p1 – p2     ? ?1 – ?2 (b) Let p1 be the population proportion of all people who answer the voter registration question accurately during a face-to-face interview. Let p2 be the…