Statistics help: Inferences about two population

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proportions

Save this question set so that you can come back to it later Two separate marketing teams, Team A and Team B, have each designed a 30 second advertisement for the new Cloak soft drink. The manager of marketing isinterested to see if there is any difference between the effectiveness of the two ads. A random sample of 150 people are shown the ad from Team A and asked ifthey would definitely buy the new drink. In this sample, a proportion of 0.320 people saidthat they would (to 3 decimal places).

A second random sample of 1.50 people are shown the ad from Team B and asked if they would deﬁnitely buy the drink. In thissample, a proportion of 0.280 people said that they would (to 3 decimal places). Let Til denote the population proportion of people that would definitely buy the drink if they saw the ad from Team A. Let ‘JIZ denote the population proportion of peoplethat would deﬁnitely buy the drink if they saw the ad from Team B. A hypothesis test is conducted with the following hypotheses:H0: 11 : 12HA: 111 3% 112The level of signiﬁcance used in this test is 0.05. You may find this standard normal table useful. a) Calculate the test statistic (z) for this test. Give your answer to 2 decimal places. Nll II)

In this test the null hypothesis E rejected. Due to various socioeconomic factors, residents of a particular city have an unusually high level of attendance at private schools. A study is conducted to determinewhether there is any difference between the rate at which males and females choose private schools over public schools in this city. A random sample of 175 males from the city are contacted and asked if they attend or ever attended a private school.

The proportion that did (to 2 decimal places) is 0.48. Similarly, a random sample of 125 females from the city are contacted and asked the same question. The proportion that attended a private school (to 2 decimalplaces) is 0.60. Let Til denote the population proportion of males that attended a private school. Similarly, let ‘J’IZZ denote the population proportion of females that attended a privateschool. Construct a 90% conﬁdence interval for the difference between these two proportions (11:1 , 1131).

Give your answers to 3 decimal places. You may find this standardnormal table useful. 51:14:25 Ferdiscn/ latm /, v., to learn thoroughly © 2010 Perdisco e l” -Terms or Use | Privacy Policy | Saturday, August as, 2019, 05:49 W htlp‘//Www.perdisco.com.au

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