7.13 In a group of people ranging from 65 to 69 years of age, the hypertension status, by sex, was found to be as follows: Isolated Systolic Diastolic Sex Normotensive Hypertension Hypertension Males 172 91 43 Females 260 133 35 Is there a significant sex difference in hypertension?
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- Dr. Stevenson reported the following in a journal: “F (4, 106) = 10.09, p = .04.” Should Dr. Stevenson state that there are significant differences among the variable means at a .01 alpha level?Suppose it was found that in a random sample of 200 individuals who were underweight (defined as having a BMI of under 18.5), 8 of them were hospitalized with COVID-19. Of a corresponding group of 400 individuals who were classified as severely obese (defined as having a BMI of at least 45.0), 32 were hospitalized with COVID-19. (a) What are the two sample proportions (to 4 decimal places)? (b) What is the difference between the two sample proportions (to 4 decimal places)? (c) If you were testing whether the probability of being hospitalized with COVID-19 differed between the population of underweight individuals and the population of severely obese individuals, what would be your null hypothesis, either in words or in mathematical terms?Dr. Romanoff reported the following in a journal: “F (5, 106) = 10.09, p = .04.” Should Dr. Romanoff state that there are significant differences among the variable means at a .05 alpha level?
- The number of contaminating particles on a silicon waferprior to a certain rinsing process was determined for eachwafer in a sample of size 100, resulting in the followingfrequencies:Number of particles 0 1 2 3 4 5 6 7Frequency 1 2 3 12 11 15 18 10Number of particles 8 9 10 11 12 13 14Frequency 12 4 5 3 1 2 1a. What proportion of the sampled wafers had at leastone particle? At least five particles?b. What proportion of the sampled wafers had betweenfive and ten particles, inclusive? Strictly between fiveand ten particles?c. Draw a histogram using relative frequency on thevertical axis. How would you describe the shape of thehistogram?A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. Can we conclude that the population proportion with a history of intrapartum or postpartum infection is less than or equal to 0.25. Let alpha = 0.0531% of all pygmy softshell tortoises have stripes on their shells. A herpetologist in Cititon collects a sample of 28 pygmy softshell tortoises and finds that 8 of them have stripes on their shells. Is there enough evidence to conclude, at a significance of alpha = 0.05, that the proportion of pygmy softshell tortoises in Cititon with stripes on their shells is less than 31%? What is the claim? What is the null hypothesis? What is the alternative hypothesis? What is the test statistic? What is/are the critical value(s)? Do we reject the null hypothesis? What conclusion do we draw? What is the P-value for the problem above?
- 31% of all pygmy softshell toises have stripes on their shells. A herpetologist in Cititon collects a sample of 28 pygmy softshell tortoises and finds that 8 of them have stripes on their shells. Is there enough evidence to conclude, at a significance of alpha=0.05, that the proportion of pygmy softshell tortoises in Cititon with stripes on their shells is less than 31%? What is the claim? What is the null hypothesis? What is the alternative hypothesis? What is the test statistic? What is/are the critical value(s)? Do we reject the null hypothesis? What conclusion do we draw? What is the P-value for the problem above?A sample of men and women who had passed their driver's test either the first time or the second time were surveyed, with the following results: Results of the driving testGender First time Second timeMen 126 211Women 135 178a) Do these data suggest that there is a relationship between gender and the passing of their driver’s test from which the present sample was drawn? Let alpha=.05The British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count on a Friday and then again on a Friday the 13th at the same two locations. The data for each location on the two different dates is in the table. Do the data show that on average fewer people drive on Friday the 13th? Test at the 5% level.Traffic Count Dates 6th 13th 1990, July 137669 135825 1990, July 129699 128891 1991, September 136898 138275 1991, September 138966 139940 1991, December 132021 129640 1991, December 119268 119214 1992, March 131938 131104 1992, March 123306 124760 1992, November 129499 129219 1992, November 138568 135934
- A random sample of 50 COS students contained 13 that owned an iPhone. A random sample of 200 Fresno State students contained 70 that owned an iPhone. Use these data to test the claim that the proportion of COS students who own an iPhone is the same as the proportion of Fresno State students who own an iPhone at the 0.05 level of significance.Interpret the following statement regarding the statistical findings of a research study. “61% (n = 36) of recipients of the low-carbohydrate diet and 23% (n = 14) of recipients of the low-fat diet completed the study and lost greater than 10% of their initial body weight (P < 0.001).” Number of participants who completed the study and lost greater than 10% of their body weight: P-value: Does this p-value indicate a statistically-significant difference in the average weight loss between the two groups:A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. Can we conclude that the population proportion with a history of intrapartum or postpartum infection is significantly less than or equal to 0.25? Let alpha = 0.05.