It is claimed that fewer than 30% of Thunder Bay households have home delivery of the Chronicle-Journal. To test this claim, a random sample of 490 Thunder Bay households reveals that only 108 get the paper delivered. Using an alpha value of 0.01, what conclusion can be reached about the claim?
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- A humane society claims that less than 67% of US households own a pet. In a random sample of 600 U.S households, 390 say they own a pet. At alpha= 0.10, is there enough evidence to support the society's claim?It has been determined that 37 out of 100 adult Americans that did not attend college believe in extra-terrestrials. However, from a random sample of 100 adult Americans that did not attend college 43 claim that they believe in extra-terrestrials. Does this indicate that the proportion of people who did not attend college and who believe in extra-terrestrials has changed? Conduct a hypothesis test with a = 0.01 and interpret the results.A news station reports that 60% of the people in a certain community are in favor of requiring masks to be warn when residents are not In their homes. A survey is conducted to verify this claim and found that 25 out of 44 people surveyed agreed that masks should be warn when people are out in public. Test the claim at an alpha of 0.10.
- In a recent study of a random sample of 113 people, 92 reported dreaming in color. In the 1940’s, the proportion of people who reported dreaming in color was 29%. Is there evidence to show that the proportion of people who dream in color is different than the proportion in the 1940’s? What is the decision for this hypothesis test? A) Fail to reject Ho because the test statistic is in the rejection region and the p-value is greater than alpha. B)Fail to reject Ho because the test statistic is not in the rejection region and the p-value is greater than alpha. C) Reject Ho because the test statistic is in the critical region and the p-value is less than alpha. D) Fail to reject Ho because the test statistic is in the critical region and the p-value is less than alpha. E) Reject Ho because the test statistic is in the rejection region and the p-value is greater than alpha.2. Mrs. Sow, a longtime resident of both the White Plains and Yonkers, claims that there is no significant difference in the proportion of traffic violations issued between the two communities in the past 10 years. In a survey of 277 motorists from White Plains, 77 were issued traffic violations within the past 10 years. In another survey of 367 motorists from Yonkers, 245 said that they did not receive traffic violations within the past 10 years. Use an alpha of 0.01 to test Mrs. Traore' s claim. Show all work, be very specific and interpret the result in terms of the question on hand.In a survey by Bea et.al., it was found that 218 of 1,062 urban residents had a history of allergic disorder while 728 of 1,000 rural dwellers had no history of such disorder whatsoever. Using an alpha level of 0.10, determine if the proportion of urban and rural residents with a history of allergic disorder are different. Use the seven steps of hypothesis testing.
- A consumer magazine polls cell-phone-users to see if they are happy with their phones and would purchase the same model again. They randomly selected cell-phone-users and found the following: 429 of 550 owners of iPhones would purchase their phone again, and 324 of 450 owners of Androids would purchase the same phone again. a) Conduct a hypothesis test with an alpha-level of 0.05 to determine if there is strong evidence that owners of iPhones are happier with their purchase than owners of Androids. Be sure to give the name of the test that you are performing . b) If your conclusion was wrong, what type of error occurred, Type I or Type II ?A humane society claims that less than 71% of households in a certain country own a pet. In a random sample of 400 households in that country, 276 say they own a pet. At alpha = 0.01, is there enough evidence to support the society's claim? What is the standardized test statistic z? What is the p-value? Do you reject or fail to reject the null hypothesis? Why? How do you enter this problem into a ti84 calculator?there is 0.01 and 0.05 alpha level, what is the critical cutoff z scores for both? which one is easier to reject the null hypothesis and why?
- A developmental psychologist is interested in whether children (age 5 and 11 years) differ in their liking of jazz music. The psychologist studies 100 children at a local elementary school by having them listen to 3 different jazz songs and then, after hearing all three songs, asks them to rate whether they like that type of music or not (yes or no). Referring to Table 1, test whether liking jazz music depends on the age of the child using an alpha of 0.05 and all the steps in hypothesis testing.In October 1945, the Gallup organization asked 1522 randomly sampled Americans, “Do you think we can develop a way to protect ourselves from atomic bombs in case other countries tried to use them against us?” with 821 responding yes. Did a majority of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945? Use the alpha = 0.05 level of significance. In the space provided below, find the P-value and write out an appropriate conclusion.In a preliminary study, the U.S. Veterans Affairs Department found that 20.9% of the 81 soldiers who were near an accidental nerve gas release just after the 1991 Persian Gulf War had muscle and bone ailments, compared to a rate of 15.5% for the 52,000 Gulf veterans who were not near that area. Use an appropriate test and the 0.10 level of signi?cance in examining if there is significance difference between these two rates. Select one: a. The Null hypothesis that two rates are not different is rejected as p-value=0.07 is less than 0.10 b. The Difference between two rates is not significant as p-value=0.17 and is more than alpha=0.10 c. The Alternative hypothesis that two proportions are not equal is accepted as p-value=0.09 and is less than 0.1 d. The Alternative hypothesis that two proportions are equal is rejected as p-value=0.14 and is more than alpha=0.1
