1)From previous data, there appears to be no significant difference in the amount spent by male and female mobile wallet
Posted: Wed Jul 13, 2022 5:06 am
1)From previous data, there appears to be no significantdifference in the amount spent by male and female mobile walletusers. A market researcher hypothesizes that average amount spentby males is higher than females. To verify his claim, he conducteda study on a sample of 80 randomly selected male users and 100randomly selected female users. It was found that the averageamount spent by the males and females are RM298 and RM284,respectively. The corresponding standard deviations are RM70 forthe males and RM74 for the females. At the 5% significance level,we would like to determine if the data provide sufficient evidenceto support the market researcher’s claim. Assume that the amountspent is normally distributed and population variances are equal.What is the value of the test statistic and conclusion for thishypothesis testing problem?
2)In a latest census, 51.5% of the Malaysian population is maleand 48.5% is female. According to a report, 27.1 percent of men and22.8 percent of women are short-sighted. Assume that the report istrue for the population of Malaysian men and women. Ashort-sighted person is chosen at random. What is the probabilityof this person being a male?
3)In year 2020, a report stated that the 73% of mobile walletusers in Malaysia uses credit card as a payment option in themobile wallet. An independent researcher conducted a study threemonths after the report was released and found that out of the 250randomly sampled mobile wallet users in Malaysia, 188 uses creditcard as a payment option. We would like to determine if there issignificant evidence to suggest that the proportion of mobilewallet users in Malaysia who uses credit card as a payment optionis higher than the percentage reported. What is the value of thetest statistic for this hypothesis test?
4)In year 2020, the amount which mobile wallet users spend in amonth is normally distributed with a mean of RM281. Recently areport claimed that there is an increase in the average amountwhich mobile wallet users spend. Based on data collected from 301users, it is found that the average amount spent is RM293 with astandard deviation of RM74. We would like to determine if the dataprovide sufficient evidence to conclude that the average amountspent by mobile wallet users has increased. What is the value ofthe test statistic for this hypothesis test?
2)In a latest census, 51.5% of the Malaysian population is maleand 48.5% is female. According to a report, 27.1 percent of men and22.8 percent of women are short-sighted. Assume that the report istrue for the population of Malaysian men and women. Ashort-sighted person is chosen at random. What is the probabilityof this person being a male?
3)In year 2020, a report stated that the 73% of mobile walletusers in Malaysia uses credit card as a payment option in themobile wallet. An independent researcher conducted a study threemonths after the report was released and found that out of the 250randomly sampled mobile wallet users in Malaysia, 188 uses creditcard as a payment option. We would like to determine if there issignificant evidence to suggest that the proportion of mobilewallet users in Malaysia who uses credit card as a payment optionis higher than the percentage reported. What is the value of thetest statistic for this hypothesis test?
4)In year 2020, the amount which mobile wallet users spend in amonth is normally distributed with a mean of RM281. Recently areport claimed that there is an increase in the average amountwhich mobile wallet users spend. Based on data collected from 301users, it is found that the average amount spent is RM293 with astandard deviation of RM74. We would like to determine if the dataprovide sufficient evidence to conclude that the average amountspent by mobile wallet users has increased. What is the value ofthe test statistic for this hypothesis test?