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- Is it possible that P(AB)=P(A)? Explain.The television show NBC Sunday Night Football broadcast a game between the Coltsand Patriots received a share of 22, meaning that among the TV sets in use, 22% were tuned to thegame (based on Nielson data). An advertiser wants to obtain a second opinion by conducting itsown survey, and a pilot survey begins with 33 households having TV sets in use at the time of thatsame NBC Sunday Night Football broadcast.Find P(X≤6)=?It is claimed that the proportion of men who want football matches to be broadcast more frequently on television is higher than the ratio of women. It was stated that 60 out of 120 men randomly selected and 50 out of 150 women favor publication more frequently. According to this; For α = 0.01, test the accuracy of the claim between the proportions of male and female audience by following the test steps. DAYS CONSUMER Mon 121 Tue 105 Wed 85 Thu 98 Fri 85 Sat 94 Sun 112
- A polling organization has been hired to conduct a survey to determine the proportion of people who are likely to support an upcoming ballot initiative. To help determine the size of the sample required for the main poll, a preliminary poll of 20 people is taken that yields the results below. (Yes indicates that the person will support the initiative, No indicates that they won't.) YesYesNoNoNoYesYesYesYesYesYesNoNoYesYesNoYesYesNoNoYesNoYesNoYesYesYesYesYesYesNoYesYesYesNoNoYesNoNoNo Based on the results of the peliminary poll, how large a sample is required for the main poll, assuming that the main poll should have a margin of error of 3% and a confidence level of 97.8%. Sample Size =For an alternative hypothesis: µ ≠ 6,700, where is the rejection region for the hypothesis test located? Select one: a. In the left tail b. In the center c. In the right tail d. In both tailsTwenty five percent of the customers of a grocery store use an express checkout. Consider five randomly selected customers, and let X denote the nu.ber among the five who use the express checkout. What is P(x less than2)?
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- The manager of a theater that is open to residents of two towns, A and B, wants to know if the proportion of households from A that use the library is smaller than the proportion of households from B. In order to test this, the manager asks 45 households in A and 49 households in B whether anyone in their household had used the theater last summer. 23 of the households surveyed in A responded "yes", and 35 of the households in B responded "yes". Find the p-value that would be used to make a conclusion for this hypothesis test.A gas station owner believes that gas is sold to an equal number of customers each day. Using a level ofsignificance of 0.10, and the following data on gas purchases to test this claim.Mon – 103; Tue – 103; Wed – 126; Thur – 103; Fri – 111; Sat – 96; Sun – 97It is claimed that the daily number of New Covid19 cases in a province is more than 250. To test the claim, 10-day case numbers were examined and the following results were found. Number of case 200 210 220 230 235 243 245 252 255 260.Find the t calculation value?