For each of the following Hypothesis Tests perform each of the following steps. State the hypotheses and identify the claim. Compute the test statistic Find the P-value. Make the decision. Write the conclusio
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For each of the following Hypothesis Tests perform each of the following steps.
- State the hypotheses and identify the claim.
- Compute the test statistic
- Find the P-value.
- Make the decision.
- Write the conclusion.
- In a study of randomly selected women science majors, the following data were obtained on two groups, those who left their profession within a few months after graduation (leavers) and those who remained in their profession after they graduated (stayers). Researchers collected the data from a self-esteem questionnaire. Can it be concluded that there is a difference in the self-esteem scores of the two groups?
|
Leavers |
Stayers |
|
x1=3.05 |
X2=2.96 |
| O1=0.75 | O2=0.75 |
| n1=103 | n2=225 |
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- In 1942, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?" Of the 1100 adults surveyed, 440 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adults and 418 indicated that they were total abstainers. Complete parts (a) and (b) below. C "1.M1 M2 Find the test statistic for this hypothesis test. 0.96 (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.)A. Determine the test statistic B. Determine the P-value C.reject or fail to reject H0 D. Determine if the results suggest that all of child booster seats meet the specified requirement.In the past, 74% of the tourists who visited Chattanooga went to see Rock City. The management of Rock City recently undertook an extensive promotional campaign. They are interested in determining whether the promotional campaign actually increased the proportion of tourists visiting Rock City. Which of the following is the correct set of hypotheses? Ho: p 0.74 Ha: ps 0.74 O Ho: Ps 0.74 Ha: p > 0.74
- Find the P-value for the indicated hypothesis test.In a sample of 47 adults selected randomly from Vancouver, it is found that 9 of them have been exposed to the flu. Find the P-value for a test of the claim that the proportion of all adults in Vancouver that have been exposed to this strain of the flu is more than 8%.b. A manufacturer conducts a study to determine individuals who would like to own an iWatch. To collect the data, people are sent a survey via email. The following table summarises the data collected that relates to the peoples' gender. Male Female Total 32 ( ) 20 ( Want iWatch Don't Want iWatch 118 ( ) 120 ( Total i. Find all expected counts and add them to the table above. ii. Conduct an appropriate hypothesis test, at a 5% level of significance, to determine whether the desire to own an iWatch and the consumer's gender is not independent. )1
- A clothing designer creates a unisex outfit and wants to be 95% certain that it’ll fit both men and women; it was designed to fit an individual of 65 inches height. An assistant gathers the heights of random men and women walking down the street (see the attached data). Using the data, determine if the outfit will fit both men and women with 95% confidence. Need a hypothesis test included. Data Table: Women Men 63.0 71.4 65.7 69.9 65.2 73.2 65.9 69.7 60.8 70.4 62.9 66.3 69.6 78.7 67.5 69.8 63.4 73.5 63.8 68.1 63.0 68.1 63.7 76.0 66.1 68.0 61.9 69.8 63.5 71.1 68.1 68.1 60.8 76.4 65.4 66.4 65.3 72.9 64.0 67.3 64.9 64.8 61.1 70.7In order to assess the effects of exercise on reducing cholesterol, a researcher took a random sample of fifty people from a local gym who exercised regularly and another random sample of fifty people from the surrounding community who did not exercise regularly. They all reported to a clinic to have their cholesterol measured. The technician measuring the cholesterol was not aware of whether or not subjects exercised regularly. This is a(n)... matched pairs experiment. double-blind experiment. observational study. single-blind experiment. a O bDuring the first few weeks of the new television season, the evening news audience proportions were recorded as ABC - 31%, CBS - 34%, and NBC - 35%. A sample of 800 homes taken recently yielded the following viewing audience data. Number of Homes ABC 305 CBS 255 NBC 240 We want to determine whether or not there has been a significant change in the proportion of viewing audience of the three networks. a. State the null and alternative hypotheses to be tested. b. Compute the expected frequencies. c. Compute the test statistic. d. Determine the p-value for this test. Make a conclusion in the context of this problem
